A208177 Primes of the form 128*k + 1.

257, 641, 769, 1153, 1409, 2689, 3329, 3457, 4481, 4993, 6529, 7297, 7681, 7937, 9473, 9601, 9857, 10369, 10753, 11393, 11777, 12161, 12289, 13313, 13441, 13697, 14081, 14593, 15233, 15361, 16001, 17921, 18049, 18433, 19073, 19457, 19841, 20353, 21121, 21377

Offset

1,1

Comments

Odd primes p such that -1 is a 64th power mod p. - Eric M. Schmidt, Mar 27 2014

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Formula

a(n) ~ 64n log n. - Charles R Greathouse IV, Nov 01 2022

Mathematica

Select[128 Range[167] + 1, PrimeQ]

Prog

(PARI) for(n=1, 167, r=128*n+1; if(isprime(r), print1(r", ")));
(Magma) [ p: p in PrimesUpTo(22000) | p mod 128 eq 1 ];
(Haskell)
a208177 n = a208177_list !! (n-1)
a208177_list = filter ((== 1) . a010051) [1, 129..]
-- Reinhard Zumkeller, Mar 06 2012

Crossrefs

Cf. A065091, A002144, A007519, A094407, A133870, A142925, A208178, A076339.

Sequence in context: A007765 A250726 A142291 * A229855 A229856 A208178

Adjacent sequences: A208174 A208175 A208176 * A208178 A208179 A208180

Keyword

nonn,easy

Author

Bruno Berselli, Feb 25 2012

Status

approved