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| category = Mathematics, Number theory, Integer factorization Classical [[wikipedia:Mersenne number|Mersenne numbers]] are integers of the form: ...

| category = Mathematics, Number theory ...rs]] and the advancement of computational [[wikipedia:Number theory|number theory]]. The project operates on the [[wikipedia:Berkeley Open Infrastructure for ...

...cally select the most efficient factorization method for a given composite number.<ref>{{cite web |url=https://sourceforge.net/projects/yafu/ |title=YAFU pro Integer factorization is an important problem in computational number theory. Many unsolved mathematical questions depend on the ability to decompose ve ...

| category = Mathematics / Number Theory ...eralized [[wikipedia:Sierpinski number|Sierpinski]] and [[wikipedia:Riesel number|Riesel]] conjectures for all integer bases <math>b \leq 1030</math>, workin ...

| category = Mathematics / Algebraic Number Theory ...mber|algebraic numbers]] in the [[wikipedia:Complex_plane|complex plane]]. Number fields are algebraic extensions of the rationals whose elements lie among t ...

...structure for a chemical composition often requires searching an enormous number of possible atomic configurations. For a crystal structure containing many atoms, the number of possible arrangements increases combinatorially. Researchers attempt to ...

| category = Mathematics / Number theory ...3 = 257</math>, and <math>F_4 = 65537</math>.<ref>{{cite web |title=Fermat number |url=https://en.wikipedia.org/wiki/Fermat_number |website=Wikipedia}}</ref> ...

<div class="bs-stat-number">51</div> <div class="bs-stat-number">334</div> ...

...oject has hosted workloads in areas including evolutionary biology, number theory, cryptography, combinatorics, optimization, and algebraic computation. Over ...eral Yoyo@home applications search for solutions to large combinatorial or number theoretic problems where brute force approaches may require evaluating extr ...

...air of numbers ([[wikipedia:220_(number)|'''''220''''']], [[wikipedia:284_(number)|'''''284''''']])]] ...amicable if the sum of the proper divisors of each number equals the other number. ...

| category = Mathematics / Number Theory The mathematical foundations of ODLK2025 rest on the theory of [[wikipedia:Prime k-tuple|prime ''k''-tuples]] and the [[wikipedia:First ...

| category = Mathematics / Number Theory ...uples]] of consecutive primes, a topic in [[wikipedia:Number theory|number theory]]. Volunteers donate idle CPU time on their personal computers to help syst ...

...rations and sequence composition features specifically designed for number theory research.<ref>{{cite web |url=https://loda-lang.org/connect/ |title=Connect ...

...ued fraction conjectures for [[wikipedia:E (mathematical constant)|Euler's number]] <math>e</math>, produced by the MITM-RF algorithm. An example of a proved ...st=Kures |first=Miroslav |title=A note on the remarkable expression of the number <math>8/\pi^2</math> that the Ramanujan Machine discovered |journal=The Mat ...

| Helping physicists compare theory with experiment, in the search for new fundamental particles and answers to | Performs parts of the number field sieve in the factorization of large integers. [[NFS@Home|See more...] ...