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A212378 Primes congruent to 1 mod 61. 2

%I #12 Sep 08 2022 08:46:02

%S 367,733,977,1709,1831,2441,3539,4027,4271,4637,4759,5003,5857,6101,

%T 6833,7321,7687,8053,8297,8419,8663,9029,9151,9883,10859,12323,12689,

%U 13177,13421,14153,14519,15373,15739,16349,17203,17569,18301,18911,21107,21839,21961

%N Primes congruent to 1 mod 61.

%C 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).

%H Bruno Berselli, <a href="/A212378/b212378.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 60n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2500]], Mod[#, 61] == 1 &]

%t Select[Range[1, 22000, 61], PrimeQ]

%o (Magma) [p: p in PrimesUpTo(22000) | IsOne(p mod 61)];

%o (PARI) is(n)=isprime(n) && n%61==1 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040, A059230, A142800-A142858.

%K nonn,easy

%O 1,1

%A _Bruno Berselli_, Sep 20 2012

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Last modified July 14 01:56 EDT 2024. Contains 374290 sequences. (Running on oeis4.)