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There is a page named "Perrin pseudoprime" on Wikipedia

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  • Thumbnail for Perrin number
    restricted Perrin pseudoprimes. There are only nine such numbers below 109. While Perrin pseudoprimes are rare, they overlap with Fermat pseudoprimes. Of the...
    23 KB (3,614 words) - 15:33, 28 March 2025
  • Elliptic pseudoprime Euler pseudoprime Euler–Jacobi pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Perrin pseudoprime Somer–Lucas...
    3 KB (357 words) - 00:52, 22 February 2025
  • In number theory, a Frobenius pseudoprime is a pseudoprime, whose definition was inspired by the quadratic Frobenius test described by Jon Grantham in...
    15 KB (2,201 words) - 00:16, 28 December 2024
  • Lucas pseudoprimes and Fibonacci pseudoprimes are composite integers that pass certain tests which all primes and very few composite numbers pass: in...
    25 KB (3,584 words) - 15:36, 30 December 2024
  • Thumbnail for Carmichael number
    However, no Carmichael number is either an Euler–Jacobi pseudoprime or a strong pseudoprime to every base relatively prime to it so, in theory, either...
    28 KB (3,570 words) - 09:51, 23 December 2024
  • In mathematics, an odd composite integer n is called an Euler pseudoprime to base a, if a and n are coprime, and a ( n − 1 ) / 2 ≡ ± 1 ( mod n ) {\displaystyle...
    9 KB (547 words) - 13:30, 16 November 2024
  • Thumbnail for Prime number
    certainly composite. A composite number that passes such a test is called a pseudoprime. In contrast, some other algorithms guarantee that their answer will...
    117 KB (14,179 words) - 14:11, 24 March 2025
  • Thumbnail for Fibonacci sequence
    If n is composite and satisfies the formula, then n is a Fibonacci pseudoprime. When m is large – say a 500-bit number – then we can calculate Fm (mod...
    86 KB (13,044 words) - 19:15, 29 March 2025
  • composites also pass, making them "pseudoprimes". Unlike the Fermat pseudoprimes, for which there exist numbers that are pseudoprimes to all coprime bases (the...
    10 KB (1,336 words) - 13:24, 16 November 2024
  • specifically number theory, an odd and composite number N is a Somer–Lucas d-pseudoprime (with given d ≥ 1) if there exists a nondegenerate Lucas sequence U (...
    2 KB (262 words) - 20:44, 12 December 2024
  • All composite divisors of prime-exponent Mersenne numbers are strong pseudoprimes to the base 2. With the exception of 1, a Mersenne number cannot be a...
    71 KB (6,412 words) - 23:44, 5 March 2025
  • Thumbnail for Abundant number
    pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    8 KB (1,067 words) - 00:14, 28 January 2025
  • above congruence, then n is called an Euler–Jacobi pseudoprime (or, more commonly, an Euler pseudoprime) to base a. As long as a is not a multiple of n (usually...
    4 KB (440 words) - 13:27, 16 November 2024
  • pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    6 KB (866 words) - 18:13, 3 March 2025
  • Thumbnail for Triangular number
    pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    25 KB (3,543 words) - 05:17, 5 March 2025
  • Thumbnail for Composite number
    pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    6 KB (846 words) - 21:28, 27 March 2025
  • pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    4 KB (581 words) - 19:48, 12 February 2025
  • pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    4 KB (601 words) - 21:33, 5 December 2024
  • Thumbnail for Exponentiation
    pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Lucas–Carmichael number Perrin pseudoprime Somer–Lucas pseudoprime Strong pseudoprime...
    105 KB (13,577 words) - 14:58, 21 March 2025
  • Fermat number is a strong pseudoprime to base 2. This is because all strong pseudoprimes to base 2 are also Fermat pseudoprimes – i.e., 2 F n − 1 ≡ 1 (...
    46 KB (4,717 words) - 18:38, 10 February 2025
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