A142112 -id:A142112 - cp's OEIS frontend

A142114 Primes congruent to 5 mod 37.

5, 79, 227, 449, 523, 967, 1559, 2003, 2447, 2521, 3187, 3557, 3631, 3779, 3853, 4001, 4297, 4519, 4889, 5333, 5407, 5851, 6073, 6221, 6961, 7109, 7331, 8219, 8293, 8663, 8737, 9181, 9403, 9551, 10069, 10513, 10883, 10957, 11549, 12289, 12437, 12511, 12659

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142112, A142113.

[p: p in PrimesUpTo(15000) | p mod 37 eq 5 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[5,20000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)
Select[Prime[Range[5000]],MemberQ[{5},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==5 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A142113 Primes congruent to 4 mod 37.

Original entry on oeis.org

41, 263, 337, 929, 1151, 1373, 1447, 1669, 2039, 2113, 2557, 2927, 3001, 3371, 3593, 3889, 4111, 4259, 4481, 4703, 4999, 5147, 5443, 5591, 5813, 6257, 6553, 6701, 6997, 7219, 7589, 8329, 8699, 9439, 9587, 9661, 9883, 10253, 10771, 10993, 11437, 11807

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142112.

[p: p in PrimesUpTo(15000) | p mod 37 eq 4 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[4,20000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)
Select[Prime[Range[5000]],MemberQ[{4},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==4 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A142115 Primes congruent to 6 mod 37.

Original entry on oeis.org

43, 191, 487, 709, 857, 1153, 1301, 1523, 1597, 2411, 2633, 2707, 3299, 3373, 4261, 4409, 4483, 5297, 5519, 5741, 6037, 6481, 6703, 7369, 7517, 7591, 8627, 8849, 8923, 9293, 9811, 10181, 10477, 10847, 11069, 11587, 12253, 12401, 12697, 12919, 13807, 14029

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142112, A142113, A142114.

[p: p in PrimesUpTo(15000) | p mod 37 eq 6 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[6,20000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)
Select[Prime[Range[5000]],MemberQ[{6},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==6 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016

A216970 Primes congruent to 1 mod 37.

Original entry on oeis.org

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 */

cp's OEIS Frontend

A142114 Primes congruent to 5 mod 37.

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A142113 Primes congruent to 4 mod 37.

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A142115 Primes congruent to 6 mod 37.

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A216970 Primes congruent to 1 mod 37.

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