query: which natural number immediately follows 41 and precedes 43?

title: 42 (number)

text: popular culture, and humour. Lewis Carroll, who was a mathematician, made repeated use of this number in his writings. Examples of Carroll's use of 42: 42 (number) 42 (forty-two) is the natural number that succeeds 41 and precedes 43. Forty-two (42) is a pronic number and an abundant number; its prime factorization 2 · 3 · 7 makes it the second sphenic number and also the second of the form (2 · 3 · "r"). Additional properties of the number 42 include: The number 42 is, in "The Hitchhiker's Guide to the Galaxy" by Douglas Adams, the "Answer to the

title: 42 (number)

text: 42 (number) 42 (forty-two) is the natural number that succeeds 41 and precedes 43. Forty-two (42) is a pronic number and an abundant number; its prime factorization 2 · 3 · 7 makes it the second sphenic number and also the second of the form (2 · 3 · "r"). Additional properties of the number 42 include: The number 42 is, in "The Hitchhiker's Guide to the Galaxy" by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no

title: 43 (number)

text: 43 (number) 43 (forty-three) is the natural number following 42 and preceding 44. Forty-three is the 14th smallest prime number. The previous is forty-one, with which it comprises a twin prime, and the next is forty-seven. 43 is the smallest prime that is not a Chen prime. It is also the third Wagstaff prime. 43 is the fourth term of Sylvester's sequence, one more than the product of the previous terms (2 × 3 × 7). 43 is a centered heptagonal number. Let "a" = "a" = 1, and thenceforth "a" = ("a" + "a" + ... + "a"). This

title: 43 (number)

text: five minus the fifth harmonic number. Every solvable configuration of the Fifteen puzzle can be solved in no more than 43 multi-tile moves (i.e. when moving two or three tiles at once is counted as one move). In auto racing: Forty-three is: 43 (number) 43 (forty-three) is the natural number following 42 and preceding 44. Forty-three is the 14th smallest prime number. The previous is forty-one, with which it comprises a twin prime, and the next is forty-seven. 43 is the smallest prime that is not a Chen prime. It is also the third Wagstaff prime. 43 is the fourth

title: Interstate 43

text: I-43 to WIS 23 in Plymouth, where it heads east back towards I-43 west of Sheboygan. Interstate 43 Interstate 43 (I-43) is a Interstate Highway located entirely within the U.S. state of Wisconsin, connecting I-39/I-90 in Beloit with Milwaukee and I-41, U.S. Highway 41 (US 41) and US 141 in Green Bay. Wisconsin Highway 32 (WIS 32) runs concurrently with I-43 in two sections and US 41, US 45, I-94, I-894, US 10, WIS 57, and WIS 42 overlap I-43 once each. There are no auxiliary or business routes connected to I-43; however, as of late 2015 there is a

title: Interstate 43

text: Interstate 43 Interstate 43 (I-43) is a Interstate Highway located entirely within the U.S. state of Wisconsin, connecting I-39/I-90 in Beloit with Milwaukee and I-41, U.S. Highway 41 (US 41) and US 141 in Green Bay. Wisconsin Highway 32 (WIS 32) runs concurrently with I-43 in two sections and US 41, US 45, I-94, I-894, US 10, WIS 57, and WIS 42 overlap I-43 once each. There are no auxiliary or business routes connected to I-43; however, as of late 2015 there is a signed alternate route in Milwaukee County. I-43 came about as a result of toll road proposals

title: 8.8 cm Pak 43

text: initially slow and costly. As part of the design effort from Krupp to compete with the Flak 41, a barrel had been produced to prove the ballistics and design. This barrel design was developed, via an intermediate design known as the Gerät 42, to become the barrel used with Pak 43/41 design. When the Pak 43 was delayed, Krupp was asked to produce a weapon using this barrel using as many existing components as possible. This previous barrel design was then designated the Pak 41. The Pak 41 barrel was fitted with a horizontal sliding-block breech mechanism resembling that of

title: Interstate 43

text: just south of the Manitowoc County line. I-43 passes Cleveland on the county line. The highway continues to follow the lakeshore to straddle Manitowoc's rapidly developing west side, passing west of Newton, Wisconsin, with a weigh station for southbound truck drivers located midway between Newton and Cleveland. I-43 connects with US 151 and WIS 42. WIS 42 north follows the freeway north to the interchange with US 10. WIS 42 leaves to the east along with US 10 east, and US 10 west follows I-43 north to the interchange with WIS 310 where it turns off to the west. The

title: 1940–41 Yorkshire Cup

text: years. Managed by Eddie Waring, and with the side boosted by the inclusion of a number of big-name guest players, the club won the Wartime Emergency League in 1941–42 and again the following season 1942–43 (though that championship was declared null and void when it was discovered they had played an ineligible player). They were also runners-up in the Championship in 1943–44, Challenge Cup winners in 1943 and Yorkshire Cup Final appearances in this season 1940–41 and winners in 1942–43. This season there were no junior/amateur clubs taking part, but with the addition of the two Lancashire clubs, Wigan and

title: Disciples of Confucius

text: 13th, east. 41. Qidiao Dufu [al. Cong], styled Zi-you, Zi-qi and Zi-wen (漆雕徒父 [al. 從], 子有 [al. 子友], 子期 and 子文), a native of Lu, whose tablet precedes that of Qidiao Chi. 42. Zeng Sichi, styled Zi-tu, or Zi-cong (壤 [al. 穰] 駟赤, 子徒, or 子從), a native of Qin. Some consider Zengsi (壤駟) to be a double surname. His tablet comes after that of No. 40. 43. Shang Zhai, styled Zi-ji and Zi-xiu (商澤, 子季 and 子秀), a native of Lu. His tablet is immediately after that of Fan Xu, No. 26. 44. Shi Zuo [al. Zhi and Zi]-shu,

title: 43 (number)

text: sequence continues 1, 1, 2, 3, 5, 10, 28, 154... . "a" is the first term of this sequence that is not an integer. 43 is a Heegner number. 43 is the largest prime which dives the order of the Janko group J. 43 is a repdigit in base 6 (111). 43 is the largest natural number that is not a (original) McNugget number. 43 is the smallest prime number expressible as the sum of 2, 3, 4, or 5 different primes: When taking the first six terms of the Taylor series for computing e, one obtains which is also

title: The Next Programme Follows Almost Immediately

text: The Next Programme Follows Almost Immediately The Next Programme Follows Almost Immediately (TNPFAI) was a cult BBC comedy of the 1970s, now almost completely forgotten. The programme starred Bill Wallis, David Jason, Denise Coffey, David Gooderson and Jonathan Cecil. The basic story revolved around a comedy factory, Allied British Comedy with the manager CMD (Wallis) and secretary/announcer Iris (Coffey). Originally broadcast on BBC Radio 4 in the late night Friday slot, as a summer replacement for "Week Ending". "Lines From My Grandfather's Forehead" occupied the slot as well. A running joke was that Cecil, an actor with a very distinctive

text: "We'll go on a trip to Gravel Hall" Audience (in unison): "Can we come too?" CMD: "Yes, it's about time you all came to!" A: "Lance Lieutenant Tooting reporting for duty sir." FX: Beep beep B: "What was that?" A: "Me sir, Tooting." B: "Well, don't let it happen again!" The Next Programme Follows Almost Immediately The Next Programme Follows Almost Immediately (TNPFAI) was a cult BBC comedy of the 1970s, now almost completely forgotten. The programme starred Bill Wallis, David Jason, Denise Coffey, David Gooderson and Jonathan Cecil. The basic story revolved around a comedy factory, Allied British Comedy

title: Interstate 43

text: River valley, including Rockford, Illinois. However, the moniker generally only applies to the portion of the route in Waukesha and Milwaukee counties; freeway names in southeastern Wisconsin media are used interchangeably with Interstate numbers. The freeway is entirely four lanes from Beloit to New Berlin. A six-lane segment begins where US 45 merges on the Interstate. I-43 connects with US 45 south and WIS 100 at South 108th Street. US 45 joins the highway for , then turns northward onto I-894 west and I-41/US 41 south at the Hale Interchange, while I-43 follows I-894 east and I-41/US 41 south along

title: 300 (number)

text: 300 (number) 300 (three hundred) is the natural number following 299 and preceding 301. The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 300 = 606 = 454 = 363, and also in bases 13, 19, 24, 29, 49 and 59. Three hundred is: 301 = 7 × 43. 301 is the sum of three

title: Pennsylvania State Game Lands Number 43

text: Kenneys, Morgantown, and Pine Swamp. Pennsylvania Route 23 passes immediately to the south of all three parcels, the Interstate 76 section of the Pennsylvania Turnpike passes a mile or so to the south connecting with Interstate 176, Route 23, and Pennsylvania Route 10 at Morgantown about 4 miles west of SGL 43. State Game Lands Number 43 was entered into the Geographic Names Information System on 2 August 1979 as identification number 1188515, its elevation is listed as . Elevations range from to . It consists of in three parcels. Hunting and furtaking species include deer ("Odocoileus virginianus"), ruffed grouse

title: Natural number

text: smaller ordinals." Also, with this definition, different possible interpretations of notations like (-tuples versus mappings of into ) coincide. Even if one does not accept the axiom of infinity and therefore cannot accept that the set of all natural numbers exists, it is still possible to define any one of these sets. Although the standard construction is useful, it is not the only possible construction. Ernst Zermelo's construction goes as follows: Natural number In mathematics, the natural numbers are those used for counting (as in "there are "six" coins on the table") and ordering (as in "this is the "third"

title: Virginia State Route 43

text: south of downtown, SR 43 splits into a pair of two-way street: northbound follows Talbott Street and Otey Street to Main Street while southbound follows South Street, which is one-way southbound for one block immediately south of Main Street. SR 43 turns west onto Main Street and has a very short concurrency with US 460 Bus. Two blocks to the west, SR 43 turns north onto Bridge Street, where the highway runs together with US 221 Bus. (signed as US 221) and SR 122 Bus. across Norfolk Southern's Blue Ridge District. North of the railroad bridge, SR 43 turns west

title: Natural number

text: Some forms of the Peano axioms have 1 in place of 0. In ordinary arithmetic, the successor of formula_8 is formula_11. Replacing Axiom Five by an axiom schema one obtains a (weaker) first-order theory called "Peano Arithmetic." In the area of mathematics called set theory, a specific construction due to John von Neumann defines the natural numbers as follows: With this definition, a natural number is a particular set with elements, and if and only if is a subset of . The standard definition, now called definition of von Neumann ordinals, is: "each ordinal is the well-ordered set of all

title: 300 (number)

text: refers to the displacement in cubic inches of early Chevrolet Big-Block engines. 397, prime number, cuban prime, centered hexagonal number. 398 = 2 × 199, nontotient. 399 = 3 × 7 × 19, sphenic number, smallest Lucas–Carmichael number, Harshad number. 300 (number) 300 (three hundred) is the natural number following 299 and preceding 301. The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 +

title: 300 (number)

text: code, indicating content can be found elsewhere. Model number of the Roland TB-303 synthesizer which is accredited as having been used to create the first acid house music tracks, in the late 1980s. 304 = 2 × 19. 304 is the sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient 304 is the HTTP code indicating the content has not been modified, and the record number of

title: 168 (number)

text: is the sum of four consecutive prime numbers: 37 + 41 + 43 + 47. 168 is also: 168 (number) 168 (one hundred [and] sixty-eight) is the natural number following 167 and preceding 169. 168 is an even number, a composite number, an abundant number, and an idoneal number. There are 168 primes less than 1000. 168 is the product of the first two perfect numbers. 168 is the order of the group PSL(2,7), the second smallest nonabelian simple group. From Hurwitz's automorphisms theorem, 168 is the maximum possible number of automorphisms of a genus 3 Riemann surface, this maximum

title: 131 (number)

text: 131 (number) 131 (one hundred [and] thirty-one) is the natural number following 130 and preceding 132. 131 is a Sophie Germain prime, an irregular prime, the second 3-digit palindromic prime, and also a permutable prime with 113 and 311. It can be expressed as the sum of three consecutive primes, 131 = 41 + 43 + 47. 131 is an Eisenstein prime with no imaginary part and real part of the form formula_1. Because the next odd number, 133, is a semiprime, 131 is a Chen prime. 131 is an Ulam number. 131 is a full reptend prime in base

title: 8.8 cm Pak 43

text: handle in the mud and snow of the Eastern Front and gunners referred to 43/41 as the "barn door" (), a reference to the size and weight of the gun. Nevertheless, the improvised Pak 43/41 proved an effective substitute for the Pak 43 until sufficient numbers of the more complex cruciform mounts could be manufactured to replace it in service. The Pak 43 was also mounted in German armored vehicles, and this version was known as the 8.8 cm KwK 43. Versions of this gun were mounted in a number of German armored vehicles under different designations, including the Tiger

title: 131 (number)

text: 10 (and also in base 2). The decimal expansion of 1/131 repeats the digits 007633587786259541984732824427480916030534351145038167938931 297709923664122137404580152671755725190839694656488549618320 6106870229 indefinitely. 131 is also: 131 (number) 131 (one hundred [and] thirty-one) is the natural number following 130 and preceding 132. 131 is a Sophie Germain prime, an irregular prime, the second 3-digit palindromic prime, and also a permutable prime with 113 and 311. It can be expressed as the sum of three consecutive primes, 131 = 41 + 43 + 47. 131 is an Eisenstein prime with no imaginary part and real part of the form formula_1. Because the next odd number, 133,

title: Illinois Route 43

text: Illinois Route 43 Illinois Route 43 is a major north–south state road in the U.S. state of Illinois. It runs from U.S. Route 30 in Frankfort north to the large intersection of Illinois Route 120 (Belvidere Road) and U.S. Route 41 (Skokie Highway) in Waukegan. Illinois 43 is called Waukegan Road for the first 20 miles (32 km) until its intersection with Oakton Street in Niles; it then follows that road west one block until it turns back south and remains Harlem Avenue for the duration. When Illinois Route 50 begins in Skokie and Illinois Route 171 begins in Chicago,

title: 300 (number)

text: + 41 + 43 + 47 + 53), sum of the first four powers of 4 (4 + 4 + 4 + 4), divisible by the number of primes below it, nontotient, noncototient. 341 = 11 × 31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number. 341 is the smallest Fermat pseudoprime; it is the "least" "composite" "odd" modulus "m" greater than the base "b", that satisfies the "Fermat" property ""b" − 1 is divisible by "m"", for bases up to 128 of

title: 121 (number)

text: 121 (number) 121 (one hundred [and] twenty-one) is the natural number following 120 and preceding 122. One hundred [and] twenty-one is a square and is the sum of three consecutive primes (37 + 41 + 43). There are no squares besides 121 known to be of the form formula_1, where "p" is prime (3, in this case). Other such squares must have at least 35 digits. There are only two other squares known to be of the form n! + 1, supporting Brocard's conjecture. Another example of 121 being of the few examples supporting a conjecture is that Fermat conjectured

title: 311 (number)

text: 59 + 61 + 67 + 71), as a sum of seven consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59), and as a sum of eleven consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). 311 is a strictly non-palindromic number, as it is not palindromic in any base between base 2 and base 309. 311 is the smallest positive integer "d" such that the imaginary quadratic field Q() has class number = 19. 311 (number) 311 (three hundred

title: Nebraska Highway 43

text: Nebraska Highway 43 Nebraska Highway 43 (N-43) is a highway in southeastern Nebraska. It runs for a length of in a south-to-north direction. Its southern terminus is near Adams at an intersection with N-41. Its northern terminus is at an intersection with U.S. Highway 34 (US 34) in Eagle. Nebraska Highway 43 begins near Adams at an intersection with N-41. The highway heads due north into farmland until Bennet. Shortly after Bennet, the highway meets N-2. N-2 and N-43 overlap until Palmyra, which is where N-43 turns north. N-43 goes north for four miles (6 km), west for one, and

title: Cyclic number (group theory)

text: cyclic. The first cyclic numbers are 1, 2, 3, 5, 7, 11, 13, 15, 17, 19, 23, 29, 31, 33, 35, 37, 41, 43, 47, 51, 53, 59, 61, 65, 67, 69, 71, 73, 77, 79, 83, 85, 87, 89, 91, 95, 97, 101, 103, 107, 109, 113, 115, 119, 123, 127, 131, 133, 137, 139, 141, 143, 145, 149, ... . Cyclic number (group theory) A cyclic number is a natural number "n" such that "n" and φ("n") are coprime. Here φ is Euler's totient function. An equivalent definition is that a number "n" is cyclic if and only

title: Natural number

text: not possible to divide one natural number by another and get a natural number as result, the procedure of "division with remainder" is available as a substitute: for any two natural numbers and with there are natural numbers and such that The number is called the "quotient" and is called the "remainder" of the division of by . The numbers and are uniquely determined by and . This Euclidean division is key to several other properties (divisibility), algorithms (such as the Euclidean algorithm), and ideas in number theory. The addition (+) and multiplication (×) operations on natural numbers as defined

title: Interstate 41

text: south of the Wisconsin–Illinois border at the end of the Tri-State Tollway. The highway continues north concurrently with I-94 to the Mitchell Interchange in Milwaukee, turns west to run concurrently with I-894 and I-43 to the Hale Interchange (forming a brief wrong-way concurrency with I-43), and turns north to run concurrently with I-894 and US 45 to the Zoo Interchange, with the US 45 concurrency continuing until the I-41/US 41/US 45 split near Richfield. The Interstate roughly parallels I-43, which runs north–south along Lake Michigan from Milwaukee to Green Bay. I-41 runs through the Fox Valley (including the cities of

title: 280 (number)

text: in "Star Trek", the total number of Rules of Acquisition, repdigit in base 7 (555). 286 = 2·11·13, sphenic number, tetrahedral number, nontotient, also shorthand for the Intel 80286 microprocessor chip. 286 is the smallest even pseudoprime (not divisible by 3) to base 3, which implies 3 ≡ 1 (mod 286). 287 = 7·41, sum of three consecutive primes (89 + 97 + 101), sum of five consecutive primes (47 + 53 + 59 + 61 + 67), sum of nine consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47),

title: Nebraska Highway 43

text: then north for three more miles, where it meets US 34 in Eagle and ends. Nebraska Highway 43 Nebraska Highway 43 (N-43) is a highway in southeastern Nebraska. It runs for a length of in a south-to-north direction. Its southern terminus is near Adams at an intersection with N-41. Its northern terminus is at an intersection with U.S. Highway 34 (US 34) in Eagle. Nebraska Highway 43 begins near Adams at an intersection with N-41. The highway heads due north into farmland until Bennet. Shortly after Bennet, the highway meets N-2. N-2 and N-43 overlap until Palmyra, which is where

title: 300 (number)

text: 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 380 = 2 × 5 × 19, pronic number. 381 = 3 × 127, sum of the first sixteen primes. Palindrome in base 2 and base 8. It is the sum of the 16 consecutive primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 382 = 2 × 191, sum of ten consecutive primes (19 +

title: Natural number

text: this formalism was modified so that a natural number is defined as a particular set, and any set that can be put into one-to-one correspondence with that set is said to have that number of elements. The second class of definitions was introduced by Charles Sanders Peirce, refined by Richard Dedekind, and further explored by Giuseppe Peano; this approach is now called Peano arithmetic. It is based on an axiomatization of the properties of ordinal numbers: each natural number has a successor and every non-zero natural number has a unique predecessor. Peano arithmetic is equiconsistent with several weak systems of

title: Natural number

text: zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers). The natural numbers are a basis from which many other number sets may be built by extension: the integers (Grothendieck group), by including (if not yet in) the neutral element 0 and an additive inverse (−"n") for each nonzero natural number "n"; the rational numbers, by including a multiplicative inverse (1/"n") for each nonzero integer "n" (and also the product of these inverses by integers); the real numbers by including with the rationals the limits of (converging) Cauchy sequences of

title: Natural number

text: if and only if there exists another natural number where . This order is compatible with the arithmetical operations in the following sense: if , and are natural numbers and , then and . An important property of the natural numbers is that they are well-ordered: every non-empty set of natural numbers has a least element. The rank among well-ordered sets is expressed by an ordinal number; for the natural numbers, this is denoted as (omega). In this section, juxtaposed variables such as indicate the product , and the standard order of operations is assumed. While it is in general

title: 8.8 cm Pak 43

text: the 7.5 cm Pak 40, and the semi-automatic gear was a simplified version of that used on the Pak 43. The two-wheel Split-trail carriage was from the 10.5 cm leFH 18 field howitzer, with the wheels from the 15 cm s FH howitzer. The Pak 41 was ballistically identical to the Pak 43 and fired the same ammunition, hence its performance was identical. Sources are unclear as to whether the Pak 41 and the Pak 43 barrels were identical; either way it is responsible for the Pak 43/41 designation for the whole design. The 43/41 proved heavy and awkward to

title: Interstate 41

text: Interstate 41 Interstate 41 (I-41) is a Interstate Highway connecting the interchange of I-94 and U.S. Route 41 (US 41), located south of the Wisconsin–Illinois border at the end of the Tri-State Tollway in metropolitan Chicago, to an interchange with I-43 in metropolitan Green Bay, Wisconsin. The designation travels concurrently with US 41, I-894, US 45, I-43, and sections of I-94 in Wisconsin and Illinois. The route was officially added to the Interstate Highway System on April 7, 2015, and connects Milwaukee and the Fox Cities with Green Bay. I-41 begins at the I-94/US 41 interchange in Russell, Illinois, located

title: 300 (number)

text: 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). 329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a highly cototient number. 330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number (and hence a binomial coefficient formula_1), a pentagonal number, divisible by the number of primes below it, sparsely totient number, and a Harshad number. 331 is a prime number, cuban prime, sum of

title: Natural number

text: first natural number. Since different properties are customarily associated to the tokens and , e.g., neutral elements for addition and multiplications, respectively, it is important to know which version of "natural numbers", generically denoted by formula_1 is employed in the case under consideration. This can be done by explanation in prose, by explicitly writing down the set, or by qualifying the generic identifier with a super- or subscript (see also in #Notation), e.g., like this: Mathematicians use N or (an N in blackboard bold) to refer to the set of all natural numbers. Older texts have also occasionally employed "J"

title: 300 (number)

text: 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number. 383, prime number, safe prime, Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime. 385 = 5 × 7 × 11, sphenic number, square pyramidal number, the number of integer partitions of 18. 386 = 2 × 193, Nontotient, noncototient, centered heptagonal number, 386 is also shorthand for the Intel 80386 microprocessor chip. 386 generation refers to South Koreans, especially politicians, born in the '60s (). 387 = 3 × 43, also shorthand for the Intel 80387, math

title: 300 (number)

text: (and only known) 3-hyperperfect number. 326 = 2 × 163. 326 is a nontotient, noncototient, and an untouchable number. 326 is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). 327 = 3 × 109. 327 is a perfect totient number. 328 = 2 × 41. 328 is a refactorable number, and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 +

title: Existence precedes essence

text: is also claimed that these encounters with the absurd are where we are most in touch with our condition as humans. Such an encounter cannot be without philosophical significance, and existentialist philosophers derive many metaphysical theories from these encounters. These are often related to the self, consciousness and freedom as well as the nature of meaning. Existence precedes essence The proposition that existence precedes essence () is a central claim of existentialism, which reverses the traditional philosophical view that the essence (the nature) of a thing is more fundamental and immutable than its existence (the mere fact of its being).

title: Existence precedes essence

text: Existence precedes essence The proposition that existence precedes essence () is a central claim of existentialism, which reverses the traditional philosophical view that the essence (the nature) of a thing is more fundamental and immutable than its existence (the mere fact of its being). To existentialists, human beings—through their consciousness—create their own values and determine a meaning for their life because the human being does not possess any inherent identity or value. That identity or value must be created by the individual. By posing the acts that constitute them, they make their existence more significant. The idea can be found

title: 400 (number)

text: sum of its own base 10 digits, making it a Harshad number. Four hundred is also A prime number, tetranacci number, sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71), sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Chen prime, Eisenstein prime with no imaginary part, Mertens function returns 0, member of the Mian–Chowla sequence. 402 = 2 × 3 × 67, sphenic number, nontotient, Harshad number, 403 = 13 × 31, Mertens function returns 0. 404

title: Natural number

text: above have several algebraic properties: Two important generalizations of natural numbers arise from the two uses of counting and ordering: cardinal numbers and ordinal numbers. Many well-ordered sets with cardinal number have an ordinal number greater than (the latter is the lowest possible). The least ordinal of cardinality (i.e., the initial ordinal) is . For finite well-ordered sets, there is a one-to-one correspondence between ordinal and cardinal numbers; therefore they can both be expressed by the same natural number, the number of elements of the set. This number can also be used to describe the position of an element in

title: Pennsylvania State Game Lands Number 41

text: Pennsylvania State Game Lands Number 41 The Pennsylvania State Game Lands Number 41 are Pennsylvania State Game Lands in Bedford and Blair Counties in Pennsylvania in the United States providing hunting, bird watching, and other activities. State Game Lands Number 41 consists of two parcels located in Bloomfield and Woodbury Townships in Bedford County near the villages of Bakers Summit, Morrisons Cove, and New Enterprise. Three small parcels are located in Greenfield Township in Blair County. The western parcel is located on the eastern slope of Dunning Mountain, however, the slope averages 30% or more, making accessibility very difficult. The

title: Pennsylvania State Game Lands Number 41

text: State Park lie about to the west. SGL 41 was entered into the Geographic Names Information System on 2 August 1979 as identification number 1188514, its elevation is listed as . The highest elevation given is . It consists of in two parcels. Hunting and furtaking species include coyote "(Canis latrans)", white-tailed deer "(Odocoileus virginianus)", ruffed grouse "(Bonasa umbellus)", Raccoon "(Procyon lotor)", gray squirrel, "(Sciurus carolinensis)", and turkey "(Meleagris gallopavo)". Pennsylvania State Game Lands Number 41 The Pennsylvania State Game Lands Number 41 are Pennsylvania State Game Lands in Bedford and Blair Counties in Pennsylvania in the United States providing

title: Pennsylvania State Game Lands Number 43

text: ("Bonasa umbellus"), rabbit ("Sylvilagus floridanus"), and squirrel ("Sciurus carolinensis"). Pennsylvania State Game Lands Number 43 The Pennsylvania State Game Lands Number 43 are Pennsylvania State Game Lands in Berks and Chester Counties in Pennsylvania in the United States providing hunting, bird watching, and other activities. It is the only State Game Lands located in Chester County. SGL 43 consists of a three parcels located in Caernarvon, Robeson and Union Townships in Berks County and in Warwick and West Nantmeal Townships in Chester County. Tributaries of French Creek drains the Game Lands, part of the Schuylkill River watershed. Nearby communities include

title: Pennsylvania State Game Lands Number 43

text: Pennsylvania State Game Lands Number 43 The Pennsylvania State Game Lands Number 43 are Pennsylvania State Game Lands in Berks and Chester Counties in Pennsylvania in the United States providing hunting, bird watching, and other activities. It is the only State Game Lands located in Chester County. SGL 43 consists of a three parcels located in Caernarvon, Robeson and Union Townships in Berks County and in Warwick and West Nantmeal Townships in Chester County. Tributaries of French Creek drains the Game Lands, part of the Schuylkill River watershed. Nearby communities include the Borough of Elverson and populated places Conestoga, Joanna,

title: 400 (number)

text: + 61 + 67), strictly non-palindromic number 440 = 2 × 5 × 11, the sum of the first seventeen prime numbers, Harshad number, 441 = 3 × 7 = 21 442 = 2 × 13 × 17, sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71) A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659. 444 = 2 × 3 × 37, refactorable number, Harshad number. 445 = 5 ×

title: Natural number

text: rationals; the complex numbers, by including with the real numbers the unresolved square root of minus one (and also the sums and products thereof); and so on. These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems. Properties of the natural numbers, such as divisibility and the distribution of prime numbers, are studied in number theory. Problems concerning counting and ordering, such as partitioning and enumerations, are studied in combinatorics. In common language, for example in primary school, natural numbers may be called counting numbers both to intuitively exclude the negative integers and zero,

title: Natural number

text: Natural number In mathematics, the natural numbers are those used for counting (as in "there are "six" coins on the table") and ordering (as in "this is the "third" largest city in the country"). In common mathematical terminology, words colloquially used for counting are "cardinal numbers" and words connected to ordering represent "ordinal numbers". Some definitions, including the standard ISO 80000-2, begin the natural numbers with , corresponding to the non-negative integers , whereas others start with 1, corresponding to the positive integers . Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with

title: Interstate 43

text: 41, using most of the current alignment of WIS 57 north of WIS 33 in Saukville; additionally, it was proposed to use the Interstate 57 number, though that was changed due to resistance from Illinois to extend its portion through Chicago. But farmers and landowners within the corridor opposed the plan. According to the opponents of the I-43 construction, what the commission revealed as their plan to construct I-43 along the WIS 57 corridor did not reveal that instead of using the existing right-of-way, the freeway was to be built west of WIS 57. This was the case despite the

title: Interstate 43

text: enters urban residential areas as it approaches Green Bay. I-43 junctions with WIS 172 in Allouez then turns northeast to bypass Green Bay to the east, passing under the aforementioned WIS 29. After turning northwestward, the Interstate interchanges with WIS 54 and WIS 57 and crosses the Fox River on the Leo Frigo Memorial Bridge, passing through a heavily industrialized area near the Port of Green Bay. I-43 ends at I-41/US 41/US 141. I-43's lowest traffic volume in this county is at the southernmost entry with a 2006 value of 22,100 vehicles per day near Denmark. Values around Green Bay

title: Natural number

text: a need to improve the logical rigor in the foundations of mathematics. In the 1860s, Hermann Grassmann suggested a recursive definition for natural numbers thus stating they were not really natural but a consequence of definitions. Later, two classes of such formal definitions were constructed; later, they were shown to be equivalent in most practical applications. Set-theoretical definitions of natural numbers were initiated by Frege and he initially defined a natural number as the class of all sets that are in one-to-one correspondence with a particular set, but this definition turned out to lead to paradoxes including Russell's paradox. Therefore,

title: Natural number

text: Some Greek mathematicians treated the number 1 differently than larger numbers, sometimes even not as a number at all. Independent studies also occurred at around the same time in India, China, and Mesoamerica. In 19th century Europe, there was mathematical and philosophical discussion about the exact nature of the natural numbers. A school of Naturalism stated that the natural numbers were a direct consequence of the human psyche. Henri Poincaré was one of its advocates, as was Leopold Kronecker who summarized "God made the integers, all else is the work of man". In opposition to the Naturalists, the constructivists saw

title: Natural number

text: and also to contrast the discreteness of counting to the continuity of measurement, established by the real numbers. The natural numbers can, at times, appear as a convenient set of names (labels), that is, as what linguists call nominal numbers, foregoing many or all of the properties of being a number in a mathematical sense. The most primitive method of representing a natural number is to put down a mark for each object. Later, a set of objects could be tested for equality, excess or shortage, by striking out a mark and removing an object from the set. The first

title: Proper behavior precedes the Torah

text: after which people must pattern their lives in order to become suitable vessels for receiving and internalizing the Torah. Proper behavior precedes the Torah Proper behavior (or Proper ethical behavior) precedes the Torah (Hebrew: דרך ארץ קדמה לתורה) is a Jewish saying based on a passage from the "Chazal" found in the Midrash ("Leviticus Rabbah" 9:3), one of the important interpretations of which is that before one can learn and put into practice the "mitzvot" of the Torah, he or she must pave the path with "Derech Eretz", meaning decent behavior, good personality traits, and suchlike. The text in "Leviticus

title: Gap-43 protein

text: so as to compartmentalize and localize motility of filopodia in growth cones in developing brains, and could also remodel presynaptic terminals in adults in an activity-dependent manner. GAP-43 is also a protein kinase C (PKC) substrate. Phosphorylation of serine-41 on GAP-43 by PKC regulates neurite formation, regeneration, and synaptic plasticity. Because of the association and potential binding of GAP43 with a number of different molecules, including PKC, PIP2, actin, calmodulin, spectrin, palmitate, synaptophysin, amyloid and tau protein, it may be useful to think of GAP43 as an adaptor protein situated within the terminal in a supramolecular complex regulating presynaptic terminal

title: Natural number

text: this kind of infinity. This is also expressed by saying that the cardinal number of the set is aleph-naught (). One can recursively define an addition operator on the natural numbers by setting and for all , . Here should be read as "successor". This turns the natural numbers into a commutative monoid with identity element 0, the so-called free object with one generator. This monoid satisfies the cancellation property and can be embedded in a group (in the mathematical sense of the word "group"). The smallest group containing the natural numbers is the integers. If 1 is defined as

title: Massachusetts Route 43

text: onto Green River Road, which follows its namesake (a tributary of the Hoosac River) around the south and east sides of Stone Hill, before ending at Route 2 just east of the Williams College campus. Massachusetts Route 43 Route 43 is the extension of New York State Route 43 into Massachusetts. Unlike the route it continues, which is signed east-west, Massachusetts Route 43 is a north-south route. Massachusetts Route 43 begins at the eastern end of New York State Route 43 in Hancock. It turns northward through the Kinderhook Creek valley in the Taconic Mountains, passing near Jiminy Peak, and

title: 400 (number)

text: number, Markov number, star number. 434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83), nontotient 435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number, self number 436 = 2 × 109, nontotient, noncototient 437 = 19 × 23 438 = 2 × 3 × 73, sphenic number, Smith number. A prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59

title: Natural number object

text: Natural number object In category theory, a natural number object (NNO) is an object endowed with a recursive structure similar to natural numbers. More precisely, in a category E with a terminal object 1, an NNO "N" is given by: such that for any object "A" of E, global element "q" : 1 → "A", and arrow "f" : "A" → "A", there exists a unique arrow "u" : "N" → "A" such that: In other words, the triangle and square in the following diagram commute. The pair ("q", "f") is sometimes called the "recursion data" for "u", given in

title: Proofs involving the addition of natural numbers

text: on the natural number "a". For the base case "a" = 0, 0 + 0 = 0 by definition [A1]. Now we assume the induction hypothesis, that 0 + "a" = "a". Then This completes the induction on "a". We prove commutativity ("a" + "b" = "b" + "a") by applying induction on the natural number "b". First we prove the base cases "b" = 0 and "b" = "S"(0) = 1 (i.e. we prove that 0 and 1 commute with everything). The base case "b" = 0 follows immediately from the identity element property (0 is an additive identity),

title: Natural number object

text: commute. This same construction defines weak NNOs in cartesian categories that are not cartesian closed. In a category with a terminal object 1 and binary coproducts (denoted by +), an NNO can be defined as the initial algebra of the endofunctor that acts on objects by and on arrows by . Natural number object In category theory, a natural number object (NNO) is an object endowed with a recursive structure similar to natural numbers. More precisely, in a category E with a terminal object 1, an NNO "N" is given by: such that for any object "A" of E, global

title: Existence precedes essence

text: in the works of philosopher Søren Kierkegaard in the 19th century, but was explicitly formulated by philosopher Jean-Paul Sartre in the 20th century. The three-word formula originated in his 1945 lecture "Existentialism Is a Humanism", though antecedent notions can be found in Heidegger's "Being and Time". The Sartrean claim is best understood in contrast to an established principle of metaphysics that "essence" precedes "existence", i.e. a typical claim for this traditional thesis would be that man is essentially selfish, or that he is a rational being. To Sartre, "existence precedes essence" means that a personality is not built over a

title: 400 (number)

text: × 29, primitive abundant number 465 = 3 × 5 × 31, sphenic number, triangular number, member of the Padovan sequence, Harshad number 466 = 2 × 233, noncototient A prime number, safe prime, sexy prime with 461, Chen prime, Eisenstein prime with no imaginary part 468 = 2 × 3 × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), refactorable number, self number, Harshad number 469 = 7 × 67, centered hexagonal number 470 = 2 × 5 × 47, sphenic number,

title: 300 (number)

text: × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number, refactorable number. 373, prime number, balanced prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 565 = 454 = 373 and also in base 4: 11311, two-sided primes. 374 = 2 × 11 × 17, sphenic number, nontotient. 375 = 3 × 5, Harshad number 376 = 2 × 47, pentagonal number, 1-automorphic number, nontotient,

title: Stridsvagn m/41

text: on fortifications. All of the original m/41 were converted to armoured personnel carriers. A Sav m/43 rebuilt as a m/41 is displayed by the "Sveriges Försvarsfordonsmuseum Arsenalen" in Strängnäs. Stridsvagn m/41 Stridsvagn m/41 (Strv m/41) was a Swedish medium tank. A license-built version of the Czechoslovak TNH medium tank, it served into the 1950s. Since 1937, the Swedish army had been interested in the Czechoslovakian TNH tank. In March 1940, some 90 tanks were ordered from ČKD. They were never delivered as Germany, which had occupied Czechoslovakia in 1938, took them for its coming campaign in the East. After negotiations

title: 400 (number)

text: of the Mian–Chowla sequence. 476 = 2 × 7 × 17, Harshad number 477 = 3 × 53, pentagonal number 478 = 2 × 239 A prime number, safe prime, sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime, Eisenstein prime with no imaginary part, self number 480 = 2 × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number, refactorable number, Harshad number 481 = 13 ×

title: 300 (number)

text: 41 + 43 + 47), Motzkin number, self number. A Lucas and Fibonacci pseudoprime. "See 323 (disambiguation)" 324 = 2 × 3 = 18. 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, untouchable number, and a Harshad number. 325 = 5 × 13. 325 is a triangular number, hexagonal number, nonagonal number, centered nonagonal number. 325 is the smallest number to be the sum of two squares in 3 different ways: 1 + 18, 6 + 17 and 10 + 15. 325 is also the smallest

title: 300 (number)

text: = 5 × 67, divisible by the number of primes below it. 336 = 2 × 3 × 7, Harshad number, untouchable number, also the number of dimples on an American golf ball. 337, prime number, permutable prime with 373 and 733, Chen prime, star number 338 = 2 × 13, nontotient. 339 = 3 × 113 340 = 2 × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37

title: USS Hempstead (AVP-43)

text: USS Hempstead (AVP-43) What wouild have been the first USS "Hempstead" (AVP-43) was a proposed United States Navy seaplane tender that was never laid down. "Hempstead" was to have been one of 41 "Barnegat"-class small seaplane tenders the U.S. Navy planned to commission during the early 1940s, and was to have been built at Houghton, Washington, by the Lake Washington Shipyard. However, by the spring of 1943 the Navy deemed that number of seaplane tenders excess to requirements, and decided to complete four of them as motor torpedo boat tenders and one as a catapult training ship. In addition, the

title: Proper behavior precedes the Torah

text: Proper behavior precedes the Torah Proper behavior (or Proper ethical behavior) precedes the Torah (Hebrew: דרך ארץ קדמה לתורה) is a Jewish saying based on a passage from the "Chazal" found in the Midrash ("Leviticus Rabbah" 9:3), one of the important interpretations of which is that before one can learn and put into practice the "mitzvot" of the Torah, he or she must pave the path with "Derech Eretz", meaning decent behavior, good personality traits, and suchlike. The text in "Leviticus Rabbah" (known in Hebrew as "Vayikra Rabbah") comes to show that in human history, proper behavior preceded the Torah,

title: 400 (number)

text: number, sum of five consecutive primes (73 + 79 + 83 + 89 + 97), centered square number, also SMTP code meaning the transmission channel will be closing 422 = 2 × 211, Mertens function returns 0, nontotient 423 = 3 × 47, Mertens function returns 0, Harshad number 424 = 2 × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0, refactorable number, self number 425 = 5 × 17, pentagonal number, sum of three consecutive primes (137 +

title: Parasitic number

text: Parasitic number An "n"-parasitic number (in base 10) is a positive natural number which can be multiplied by "n" by moving the rightmost digit of its decimal representation to the front. Here "n" is itself a single-digit positive natural number. In other words, the decimal representation undergoes a right circular shift by one place. For example, 4•128205=512820, so 128205 is 4-parasitic. Most authors do not allow leading zeros to be used, and this article follows that convention. So even though 4•025641=102564, the number 025641 is "not" 4-parasitic. An "n"-parasitic number can be derived by starting with a digit "k" (which

title: 400 (number)

text: consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61) A prime number, Chen prime, sexy prime with 467, Eisenstein prime with no imaginary part 462 = 2 × 3 × 7 × 11, binomial coefficient formula_2, sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89), pronic number, sparsely totient number A prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number, 464 = 2

title: 400 (number)

text: sum of twelve consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59) 413 = 7 × 59, Mertens function returns 0, self number 414 = 2 × 3 × 23, Mertens function returns 0, nontotient, Harshad number 415 = 5 × 83, 416 = 2 × 13 417 = 3 × 139 418 = 2 × 11 × 19, sphenic number, A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, highly cototient number, Mertens function returns 0 A prime

title: 300 (number)

text: and strictly non-palindromic number. 361 = 19, centered triangular number, centered octagonal number, centered decagonal number, member of the Mian–Chowla sequence; also the number of positions on a standard 19 x 19 Go board. The Bahá'í calendar is based on 19 months of 19 days each. 362 = 2 × 181, Mertens function returns 0, nontotient, noncototient. 363 = 3 × 11, sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0, perfect totient number. 364 = 2 × 7 × 13, tetrahedral number,

title: Interstate 41

text: 41, which correlates with the U.S. Highway it parallels and also complies with the Interstate naming guidelines through the American Association of State Highway and Transportation Officials (AASHTO). The final bill omitted the I-41 designation. In 2009, Green Bay officials began a campaign to have US 41 designated as a northern extension of I-55 from its current termination in Chicago, with the alternative being designated as a spur of I-43. At the spring meeting of the Special Committee on U.S. Route Numbers of AASHTO on May 18, 2012, the I-55 designation was discussed by the committee. Coordination would have been

title: 105 (number)

text: 13, 29, 41, 43, 71, 83 and 97. The distinct prime factors of 105 add up to 15, and so do those of 104, hence the two numbers form a Ruth-Aaron pair under the first definition. 105 is also a number "n" for which formula_1 is prime, for formula_2. (This even works up to formula_3, ignoring the negative sign.) 105 is the smallest integer such that the factorization of formula_4 over Q includes coefficients other than formula_5. In other words, the 105th cyclotomic polynomial, Φ, is the first with coefficients other than formula_5. 105 is also: 105 (number) 105 (one

title: 300 (number)

text: part of a Ruth–Aaron pair with only distinct prime factors counted, Harshad number, Base 10 Armstrong number since 3 + 7 + 0 = 370. System/370 is a computing architecture from IBM. 371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor , the next such composite number is 2935561623745, Armstrong number since 3 + 7 + 1 = 371. 372 = 2 × 3

title: U.S. Route 43

text: highway curves to the north-northeast. It then intersects the eastern terminus of CR 41 (Birdeye Park Road), which leads to Logan and Birdine cemeteries. US 43 crosses over some railroad tracks of BNSF Railway and curves to the north-northwest. It intersects the northern terminus of CR 18, which leads to the Greene County Electric Generating Plant. It curves to the northwest and enters Forkland. After an intersection with the southern terminus of CR 21 (McDaniel Drive), the highway intersects CR 20 (M.L. King Drive), which leads to Boligee. US 43 then intersects the southern terminus of CR 69 (A.L. Isaac

title: Illinois Route 43

text: for Illinois 43 in 1967. The original Illinois 43 is a current section of Illinois Route 4 from Marine to Murphysboro. In Deerfield, Route 43 is designated a Blue Star Memorial Highway. Illinois Route 43 Illinois Route 43 is a major north–south state road in the U.S. state of Illinois. It runs from U.S. Route 30 in Frankfort north to the large intersection of Illinois Route 120 (Belvidere Road) and U.S. Route 41 (Skokie Highway) in Waukegan. Illinois 43 is called Waukegan Road for the first 20 miles (32 km) until its intersection with Oakton Street in Niles; it then

title: 300 (number)

text: + 31 + 37 + 41 + 43 + 47) 319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109), Smith number, cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10 "319" is a song by Prince. British Rail Class 319s are dual-voltage electric multiple unit trains 320 = 2 × 5 = (2) × (2 × 5). 320 is a Leyland number, maximum determinant of a 10 by 10 matrix of zeros and ones, and a Harshad number. A popular bitrate. 321 =

title: 300 (number)

text: sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44). The total number of gifts received in the song "The Twelve Days of Christmas". 365 = 5 × 73 366 = 2 × 3 × 61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap

title: 300 (number)

text: 3 × 107, a Delannoy number An area code in central Florida. 322 = 2 × 7 × 23. 322 is a sphenic, nontotient, untouchable, Lucas number, and a Harshad number. It is also seen as a Skull and Bones reference of power 323 = 17 × 19. 323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), the sum of the 13 consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 +

title: RPG-43

text: RPG-43 The RPG-43 (for "ruchnaya protivotankovaya granata obraztca 1943 goda" meaning "hand-held anti-tank grenade") was a high explosive anti-tank (HEAT) hand grenade used by the Soviet Union during the Second World War. It entered service in 1943, replacing the earlier models RPG-40 and RPG-41. The RPG-43 used a shaped charge HEAT warhead, whereas the RPG-40 used the simpler HE (high explosive) warhead. The RPG-43 had a penetration of around 75 mm of rolled homogeneous armour at a 90 degree angle. Later in the war, it was improved and became the RPG-6. During the early days of Operation Barbarossa, the USSR's

title: U.S. Route 41

text: US 41 continues on to Oconto and Peshtigo before reaching the Michigan border at Marinette. US 41 is a freeway for nearly 70% of its length through Wisconsin, with the exceptions being an expressway section north of Green Bay and surface streets in Marinette. US 41 was officially designated Interstate 41 between Green Bay and the Wisconsin–Illinois state line on April 9, 2015. I-41 has been cosigned with US 41 along the freeway sections between a point just south of the Illinois state line where US 41 and I-94 split, and the I-43 interchange northwest of Green Bay. US 41

title: Stormartillerivagn m/43

text: 1973. Stormartillerivagn m/43 Stormartillerivagn m/43 (Sav m/43) () was an assault gun based on Stridsvagn m/41 SII chassis, a Swedish development of a license-built Czechoslovak TNH medium tank. The Sav m/43 was first armed with a 75 mm gun, later they were rearmed with a 105 mm m/44 gun. The Sav m/43 was used by the artillery in A9 Regiment at Kristinehamn. In 1951, they were transferred to the armored forces. With one Sav m/43 used in training, they were allocated to infantry assault gun companies with six assault guns in each brigade. They were phased out of active service

title: Stormartillerivagn m/43

text: Stormartillerivagn m/43 Stormartillerivagn m/43 (Sav m/43) () was an assault gun based on Stridsvagn m/41 SII chassis, a Swedish development of a license-built Czechoslovak TNH medium tank. The Sav m/43 was first armed with a 75 mm gun, later they were rearmed with a 105 mm m/44 gun. The Sav m/43 was used by the artillery in A9 Regiment at Kristinehamn. In 1951, they were transferred to the armored forces. With one Sav m/43 used in training, they were allocated to infantry assault gun companies with six assault guns in each brigade. They were phased out of active service in

title: 1942–43 Yorkshire Cup

text: was declared null and void when it was discovered they had played an ineligible player). They were also runners-up in the Championship in 1943–44, Challenge Cup winners in 1943 and Yorkshire Cup Final appearances in this season 1940–41 and winners in 1942–43. This season there were no junior/amateur clubs taking part, Bramley, Castleford and Hunslet withdrew, and St. Helens joined, which with the continued presence of the two Lancashire clubs, Wigan and Oldham resulted in the number of entrants decreasing by two to a total of fourteen. This in turn resulted in two byes in the first round. For the

title: Louisiana Highway 43

text: of I-12 is an intersection with LA 1040 (Old Baton Rouge Highway), an older alignment of US 190. LA 43 enters the village of Albany and becomes known as Montpelier Road. In the center of town, LA 43 intersects US 190 (Florida Boulevard), which serves local traffic along the I-12 corridor. Immediately north of this junction, LA 43 crosses the Canadian National Railway (CN) line at grade. North of Albany, LA 43 travels between the Tickfaw River and Little Natalbany River toward the St. Helena Parish village of Montpelier. During this stretch are junctions with LA 1064, LA 442, and

title: 8.8 cm KwK 43

text: mount), PaK 43/41 (two-wheel split-trail carriage), PaK 43/1 (Nashorn), and PaK 43/2 (Ferdinand/Elefant), all with monobloc (one-piece) barrels; PaK 43/3 and 43/4 (Jagdpanther) with two-piece barrels, and KwK 43 (Tiger II) with a two-piece barrel. 8.8 cm KwK 43 The 8.8 cm KwK 43 L/71 (Kampfwagenkanone —"fighting vehicle cannon") was an 88 mm 71 calibre tank gun designed by Krupp and used by the German Wehrmacht during the Second World War. It was mounted as the primary armament on the Panzerkampfwagen VI Ausf. B "Tiger II" and the 8.8 cm PaK 43, an anti-tank gun, was very similar in design

title: Natural number

text: which is equivalent to the fact that is not closed under subtraction (i.e., subtracting one natural from another does not always result in another natural), means that is "not" a ring; instead it is a semiring (also known as a "rig"). If the natural numbers are taken as "excluding 0", and "starting at 1", the definitions of + and × are as above, except that they begin with and . In this section, juxtaposed variables such as indicate the product , and the standard order of operations is assumed. A total order on the natural numbers is defined by letting

title: U.S. Route 43

text: southern terminus of CR 41. The concurrency curves to the east-southeast and then heads to the northeast again. They enter Hackleburg. They curve to the east-northeast. In the main part of town is an intersection with SR 172 and the southern terminus of SR 253 (Clay Street). US 43 and SR 17 leave Hackleburg. They then enter Franklin County. US 43 and SR 17 pass Dismals Canyon before intersecting the eastern terminus of CR 8, the southern terminus of CR 143, the western terminus of CR 51, and a brief unsigned concurrency with CR 16 (Gravel Hill Road/College Road; which