A142126 -id:A142126 - cp's OEIS frontend

A142127 Primes congruent to 18 mod 37.

277, 499, 647, 1091, 1609, 1831, 1979, 2053, 2423, 2719, 3089, 3163, 3533, 3607, 4051, 4273, 4421, 4643, 5087, 5309, 5531, 5827, 6197, 6271, 6863, 7159, 7307, 7529, 7603, 8269, 8713, 8861, 9157, 9601, 9749, 10193, 10267, 10711, 10859, 11821, 11969, 12043

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142124, A142125, A142126.

[p: p in PrimesUpTo(15000) | p mod 37 eq 18 ]; // Vincenzo Librandi, Aug 19 2012

Select[Range[18,30000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 11 2011 *)
Select[Prime[Range[5000]],MemberQ[{18},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==18 \\ Charles R Greathouse IV, Jul 02 2016

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

A142128 Primes congruent to 19 mod 37.

Original entry on oeis.org

19, 167, 241, 389, 463, 907, 1129, 1277, 1499, 1721, 2017, 2239, 2609, 2683, 3571, 3719, 3793, 4903, 5051, 5273, 5347, 5569, 5717, 5791, 5939, 6679, 6827, 7789, 7937, 8011, 8233, 8677, 9343, 9491, 9787, 10009, 10453, 10601, 11119, 11489, 11933, 12007, 12377

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142126, A142127.

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

Select[Range[19,30000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 11 2011 *)
Select[Prime[Range[5000]],MemberQ[{19},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

is(n)=isprime(n) && n%37==19 \\ Charles R Greathouse IV, Jul 02 2016

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

A274202 Primes congruent to 31 mod 65.

Original entry on oeis.org

31, 421, 811, 941, 1201, 1721, 2111, 2371, 3541, 3671, 3931, 4451, 5101, 5231, 5881, 6011, 6271, 6661, 6791, 8221, 8741, 9001, 9391, 9521, 9781, 10301, 10691, 11471, 11731, 12251, 12511, 12641, 13291, 13421, 13681, 14071, 14461, 14591, 14851, 15241, 15761

Offset: 1

Vincenzo Librandi, Jun 13 2016

Subsequence of A030430 and A102732.

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

Cf. A000040, A030430, A102732.

Cf. similar sequences of the type primes congruent to k mod 2*k+3: A045392 (k=2), A102732 (k=5), A138629 (k=7), A141873 (k=8), A141914 (k=10), A141935 (k=11), A141989 (k=13), A142018 (k=14), A142086 (k=16), A142126 (k=17), A142216 (k=19), A142269 (k=20), A142373 (k=22), A142433 (k=23), A142555 (k=25), A142619 (k=26), A142755 (k=28), A142827 (k=29), this sequence (k=31), A154621 (k=32), A154624 (k=34), A154628 (k=35).

[p: p in PrimesUpTo(20000) | p mod 65 eq 31];

Select[Prime[Range[2000]], MemberQ[{31}, Mod[#, 65]] &]
Select[Range[31,16000,65],PrimeQ] (* Harvey P. Dale, May 06 2018 *)

cp's OEIS Frontend

A142127 Primes congruent to 18 mod 37.

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A142128 Primes congruent to 19 mod 37.

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Magma

Mathematica

PARI

Formula

A274202 Primes congruent to 31 mod 65.

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Mathematica