A212379 Primes congruent to 1 mod 41.

83, 739, 821, 1231, 1559, 1723, 2297, 2543, 2707, 2789, 2953, 3527, 3691, 4019, 5003, 5167, 5413, 5659, 5741, 5987, 6151, 6397, 6971, 7873, 8447, 8693, 9103, 9349, 9431, 9677, 9923, 10169, 10333, 11071, 11317, 11399, 12301, 12547, 13121, 13367, 13613, 13859

Offset: 1

Author

Bruno Berselli, Sep 20 2012

Keywords

• nonn
• easy

Comments

Coincides for the first 49 terms with A059236, that is the sequence of primes p such that x^41 = 2 has no solution mod p (first divergence is at 17467).

Links

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

Crossrefs

Cf. A000040, A059236, A142199-A142237.

Programs

Magma

[p: p in PrimesUpTo(14000) | IsOne(p mod 41)];

Mathematica

Select[Prime[Range[1800]], Mod[#, 41] == 1 &]
Select[Range[1, 14000, 41], PrimeQ]

PARI

select(p->p%41==1, primes(999)) \\ Charles R Greathouse IV, Sep 20 2012