prime number
Language: English
Part of speech: noun
Forms: form: prime numbers
Senses: examples: text: The fundamental theorem of arithmetic states that every natural number greater than 1 can be factorized into prime numbers in a way that is unique up to the order in which the factors are written.
text: 2007, James Alfred Walker, Julian Francis Miller, Predicting Prime Numbers Using Cartesian Genetic Programming, Marc Ebner, Michael O'Neill, Anikó Ekárt, Anna Isabel Esparcia-Alcázar, Leonardo Vanneschi (editors), Genetic Programming: 10th European Conference, EuroGP 2007, Proceedings, Springer, LNCS 4445, page 215,
As the evolved solution for the first 16 prime numbers was capable of accepting inputs up to 31, we decided to extend the experiment to see how the solution generalised on 15 previously unseen inputs (just as we did with the integer-based approach). From the 15 unseen inputs, 7 of the predicted 15 outputs were prime numbers, which is just below 50%, indicating that the solution had learned something about "primeness" or favoured prime numbers.
text: The most common definition of a prime number used in school seems to be 'an integer whose only factors are one and itself', which unfortunately leaves open the question of whether one is itself a prime number. Until the nineteenth century, most mathematicians regarded one as a prime number – Henri Lebesgue (1875–1941) is often said to be the last professional mathematician to call one prime – so it is a little unfair to regard learners as silly for thinking this today, or for questioning why we do not now regard one as a prime number – it is still a good question.
ref: 2010, Colin Foster, Resources for Teaching Mathematics: 14-16, Continuum International Publishing Group, page 168:
text: Some poems, echoing the purpose of early poetic treatises on scientific principles, attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.
ref: 2013 July-August, Sarah Glaz, “Ode to Prime Numbers”, in American Scientist, volume 101, number 4:
topics: mathematics
number-theory
sciences
glosses: Any natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
topics: mathematics
number-theory
sciences
glosses: Any natural number (including 1) that is divisible only by itself and 1.
Synonyms: sense: natural number >1 divisible only by itself and 1
word: prime
Hypernyms: integer
natural number
number
Hyponyms: additive prime number
annihilating prime number
Bell number prime number
Carol prime number
Catalan prime number
centered decagonal prime number
centered heptagonal prime number
centered square prime number
centered triangular prime number
Chen prime number
circular prime number
cousin prime number
Cuban prime number
Cullen prime number
Delannoy number prime number
deletable prime number
dihedral prime number
double factorial prime number
double Mersenne prime number
Eisenstein prime number without imaginary part
emirp
Euclid-Mullin Sequence prime number
Euclid prime number
Euler irregular prime number
even prime number
factorial prime number
Fermat prime number
Fibonacci prime number
fortunate prime number
Gaussian prime number
generalized Fermat prime number base 10
Genocchi number prime number
Gilda's prime number
good prime number
happy prime number
harmonic prime number
Higgs prime number for squares
highly cototient number prime number
irregular prime number
isolated prime number
Kynea prime number
left-truncatable prime number
Leyland prime number
long prime number
Lucas prime number
lucky prime number
Markov prime number
Mersenne prime number
Mills prime number
minimal prime number
Motzkin prime number
Newman–Shanks–Williams prime number
non-generous prime number
odd prime number
Padovan prime number
palindromic prime number
palindromic wing prime number
partition prime number
Pell prime number
permutable prime number
Perrin prime number
Pierpont prime number
Pillai prime number
prime number of Binary Quadratic Form
primeval prime number
primorial prime number
Proth prime number
Pythagorean prime number
Quartan prime number
Ramanujan prime number
regular prime number
repunit prime number
right-truncatable prime number
safe prime number
Schröder-Hipparchus number prime number
Schröder prime number
self prime number
sexy prime number
Smarandache-Wellin prime number
Smarandache–Wellin prime number
Solinas prime number
Sophie Germain prime number
star prime number
Stern prime number
super-prime number
supersingular prime number
swinging prime number
Thabit number prime number
twin prime number
two-sided prime number
Ulam number prime number
unique prime number
Wagstaff prime number
Wall–Sun–Sun prime number
Weakly prime numbers
Wedderburn-Etherington number prime number
Wieferich prime number
Wilson prime number
Wolstenholme prime number
Woodall prime number
Derived terms: prime constellation
prime factor
prime factorization
prime number theorem
Related terms: primality
divisor
factor