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Primes congruent to 1 mod 37.
2

%I #12 Sep 08 2022 08:46:04

%S 149,223,593,1259,1481,1777,1999,2221,2591,2887,3109,3257,3331,3701,

%T 3923,4219,4441,4663,5107,5477,6143,6217,6661,6883,7253,7549,7919,

%U 7993,8363,8807,9029,9103,9473,9547,9769,10139,10657,11027,11471,12211,12433,13099

%N Primes congruent to 1 mod 37.

%C Coincides for the first 38 terms with A059223 (primes p such that x^37 = 2 has no solution mod p), the first divergence is at the term 11471.

%H Bruno Berselli, <a href="/A216970/b216970.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[1700]], Mod[#, 37] == 1 &]

%t Select[Range[1, 14000, 37], PrimeQ]

%o (Magma) [p: p in PrimesUpTo(14000) | IsOne(p mod 37)];

%o (PARI) select(p->p%37==1,primes(10^4)) /* _Joerg Arndt_, Sep 21 2012 */

%Y Cf. A000040, A059223, A100203, A142112-A142145.

%K nonn,easy

%O 1,1

%A _Bruno Berselli_, Sep 21 2012