A100203 -id:A100203 - cp's OEIS frontend

A216970 Primes congruent to 1 mod 37.

149, 223, 593, 1259, 1481, 1777, 1999, 2221, 2591, 2887, 3109, 3257, 3331, 3701, 3923, 4219, 4441, 4663, 5107, 5477, 6143, 6217, 6661, 6883, 7253, 7549, 7919, 7993, 8363, 8807, 9029, 9103, 9473, 9547, 9769, 10139, 10657, 11027, 11471, 12211, 12433, 13099

Offset: 1

Bruno Berselli, Sep 21 2012

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.

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

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

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

Select[Prime[Range[1700]], Mod[#, 37] == 1 &]
Select[Range[1, 14000, 37], PrimeQ]

select(p->p%37==1,primes(10^4)) /* Joerg Arndt, Sep 21 2012 */

A100494 Primes of the form 47*k + 3.

Original entry on oeis.org

3, 97, 191, 379, 661, 1319, 1601, 1789, 2447, 2729, 2917, 3011, 4139, 4327, 4421, 4703, 5737, 6113, 6301, 6959, 7523, 7993, 8087, 8369, 8839, 8933, 9403, 9497, 9967, 10061, 10343, 10531, 11471, 11941, 13163, 13633, 14009, 14197, 14479, 15137

Offset: 1

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Jan 11 2005

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A100203, A142200, A142252, A142416, A142533.

[a: n in [0..400] | IsPrime(a) where a is 47*n+3 ]; // Vincenzo Librandi, Jul 18 2012

Select[47 Range[0,500]+3, PrimeQ] (* Harvey P. Dale, Feb 26 2011 *)

[47*n+3 for n in (0..500) if is_prime(47*n+3)] # G. C. Greubel, Apr 03 2023

cp's OEIS Frontend

A216970 Primes congruent to 1 mod 37.

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