[DOC] [TLE] Mathematical mysteries: the Goldbach conjecture | plus.maths.org [PAR] Can every even whole number greater than 2 be written as the sum of two primes
? A prime is a whole number which is only divisible by 1 and itself. ... enormous 
gap and proved that the result is true for all odd numbers greater than 5. ... the 
strong Goldbach conjecture is to say that every integer n is the average of two 
odd... [DOC] [TLE] Number Theory - UCLA [PAR] A number that has as factors only itself and one is called prime. ... He says: We 
might ask, does (this) have any solution in positive integers ... In 1742 Goldbach 
conjectured that every even integer greater than 2 is the sum of two primes. ... for 
all even numbers less than 100,000 but no one has been able to prove it [2, p. 5]. [DOC] [TLE] Every odd integer larger than 1 is the sum of at most five primes ... [PAR] Feb 1, 2012 ... In the minor arc case, the prime number theorem is not strong ... is due to Liu and 
Wang, who established that all odd numbers larger ... it as the sum of three odd 
primes and a natural number between {2} ... is small (say {1 < q < x^{1/3}} ) ... 
factor in them, but we use the effective Vinogradov theorem of Liu... [DOC] [TLE] Prime Number -- from Wolfram MathWorld [PAR] Although the number 1 used to be considered a prime (Goldbach 1742; Lehmer 
... many definitions and applications involving primes greater than or equal to 2 
that it is ... However, since 2 is the only even prime (which, ironically, in some 
sense makes .... In this method, all possible factors are systematically tested 
using trial... [DOC] [TLE] Factors and Primes - Developmental Math Topic Text [PAR] Natural numbers, also called counting numbers (1, 2, 3, and so on), can be ... 
When one number can be divided by another number with no remainder, we say 
the first ... by 2. A number is divisible by 3 if the sum of all the digits is divisible by 
3. .... The number 1 is considered neither prime nor composite, as its only factor is 
1. [DOC] [TLE] 3.1 Prime Numbers [PAR] Chapter 3  Number Theory ... As you may recall, an integer n greater than one 
is prime if its only positive ... In this context, n is called a divisor of m or a factor of 
m. ... Question 3.1.2 List every positive divisor of the integers 98 and 120. ..... all 
even numbers are the sum of two primes, as well as Chen Jing-Run's proof in the
. [DOC] [TLE] The Prime Numbers [PAR] Recall that integers a, b are said to be relatively prime if gcd(a, b) = 1. ... that a 
divides their sum, so a divides c. Definition. A prime number is a positive integer 
with exactly two positive ... If p is a prime then its only two divisors are necessarily 
1 and p itself, since ... Every integer greater than 1 has at least one prime divisor. [DOC] [TLE] RECENT PROGRESS IN THE GOLDBACH PROBLEM 1 ... [PAR] a letter written by Goldbach to Euler in 1742 [4J.1 In the letter, ... (A) every even 
integer greater than 2 is a sum of two primes, and ... 1 Numbers in brackets refer 
to the references cited at the end of the paper. ... F(x; 2, x1/u) is the number of odd 
integers n ^x such that neither n nor ... Hence all the prime ... than u  1 of them. [DOC] [TLE] download this paper (free) - International Journal of Pure and ... [PAR] Note that in 1921, Hardy said ... Goldbach problem or 3-primes problem, stated 
that: any number greater than 7 ... almost all the even number is the sum of two 
primes. .... of interest (we care only for n > 2), it is obvious that Eq(1) makes sense 
only ... dense the feasible space of prime numbers in N by a factor of 3 (i.e.

Question: A number with factors of only 1 & itself; a 1742 theory says all even numbers over 2 are the sum of 2 of them
Answer: Prime numbers