A216866 Prime numbers that are congruent to 8 mod (3*5*17*257*65537).

12884901893, 21474836483, 201863462873, 227633266643, 236223201233, 296352743363, 347892350903, 408021893033, 493921238933, 528280977293, 545460846473, 614180323193, 622770257783, 631360192373, 717259538273, 751619276633, 794568949583, 811748818763

Offset

1,1

Comments

Note that 3, 5, 17, 257, and 65537 are Fermat primes (A019434).

Links

Table of n, a(n) for n=1..18.

Shalom Eliahou and Jorge Ramírez Alfonsín, Two-generator numerical semigroups and Fermat and Mersenne numbers, SIAM J. Discrete Math., 25(2), 2011, 622-630.

Prog

(PARI) p5fm8(k) = {pf5 = 3*5*17*257*65537; for (i=1, k, p = pf5*i + 8; if (isprime(p), print1 (p, ", ")); ); }

Crossrefs

Sequence in context: A287747 A113642 A329417 * A034657 A204096 A113639

Adjacent sequences: A216863 A216864 A216865 * A216867 A216868 A216869

Keyword

nonn

Author

Michel Marcus, Sep 18 2012

Status

approved