A212378 Primes congruent to 1 mod 61.

367, 733, 977, 1709, 1831, 2441, 3539, 4027, 4271, 4637, 4759, 5003, 5857, 6101, 6833, 7321, 7687, 8053, 8297, 8419, 8663, 9029, 9151, 9883, 10859, 12323, 12689, 13177, 13421, 14153, 14519, 15373, 15739, 16349, 17203, 17569, 18301, 18911, 21107, 21839, 21961

Offset

1,1

Comments

Coincides for the first 58 terms with A059230, that is the sequence of primes p such that x^61 = 2 has no solution mod p (first divergence is at 34039).

Links

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

Formula

a(n) ~ 60n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], Mod[#, 61] == 1 &]
Select[Range[1, 22000, 61], PrimeQ]

Prog

(Magma) [p: p in PrimesUpTo(22000) | IsOne(p mod 61)];
(PARI) is(n)=isprime(n) && n%61==1 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040, A059230, A142800-A142858.

Sequence in context: A186467 A054827 A059230 * A060518 A065556 A068357

Adjacent sequences: A212375 A212376 A212377 * A212379 A212380 A212381

Keyword

nonn,easy

Author

Bruno Berselli, Sep 20 2012

Status

approved