| category = Mathematics, Number theory, Integer factorization
Classical [[wikipedia:Mersenne number|Mersenne numbers]] are integers of the form:
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9 KB (1,086 words) - 19:30, 23 May 2026
| 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
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12 KB (1,583 words) - 04:06, 28 May 2026
...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
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10 KB (1,281 words) - 13:18, 29 May 2026
| 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
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15 KB (2,104 words) - 22:33, 28 May 2026
| 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
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21 KB (2,910 words) - 11:54, 31 May 2026
...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
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10 KB (1,305 words) - 04:09, 28 May 2026
| 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>
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16 KB (2,213 words) - 15:12, 26 May 2026
<div class="bs-stat-
number">51</div>
<div class="bs-stat-
number">334</div>
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13 KB (1,287 words) - 02:20, 30 May 2026
...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
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14 KB (1,789 words) - 15:27, 29 May 2026
...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.
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17 KB (2,258 words) - 13:14, 20 May 2026
| 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
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16 KB (2,153 words) - 13:51, 29 May 2026
| 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
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21 KB (2,838 words) - 03:57, 24 May 2026
...rations and sequence composition features specifically designed for number theory research.<ref>{{cite web |url=https://loda-lang.org/connect/ |title=Connect
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10 KB (1,270 words) - 00:31, 25 May 2026
...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
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21 KB (2,668 words) - 01:14, 23 May 2026
| 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...]
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94 KB (12,386 words) - 17:21, 28 May 2026