A212377 Primes congruent to 1 mod 53.

107, 743, 1061, 1697, 2333, 2969, 3181, 3499, 3923, 4241, 4877, 5407, 6043, 6361, 6679, 6997, 7103, 7951, 8269, 8693, 9011, 9859, 10177, 10601, 11131, 12721, 13463, 13781, 14629, 14947, 15053, 15583, 15901, 16007, 17491, 17597, 18127, 18233, 18869, 19081

Offset

1,1

Comments

Coincides for the first 166 terms with A059258, that is the sequence of primes p such that x^53 = 2 has no solution mod p (first divergence is at 91373).

Links

Bruno Berselli, Table of n, a(n) for n = 1..1000

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2200]], Mod[#, 53] == 1 &]
Select[Range[1, 20000, 53], PrimeQ]

Prog

(Magma) [p: p in PrimesUpTo(20000) | IsOne(p mod 53)];
(PARI) is(n)=isprime(n) && n%53==1 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040, A059258, A142532-A142582.

Sequence in context: A069759 A183057 A059258 * A113932 A357551 A250154

Adjacent sequences: A212374 A212375 A212376 * A212378 A212379 A212380

Keyword

nonn,easy

Author

Bruno Berselli, Sep 20 2012

Status

approved