A142216 -id:A142216 - cp's OEIS frontend

A142217 Primes congruent to 20 mod 41.

61, 307, 389, 881, 1291, 1373, 1619, 1783, 2029, 2111, 2357, 2521, 2767, 3259, 3833, 4079, 4243, 4817, 5227, 5309, 5801, 6047, 6211, 6703, 6949, 7523, 7687, 7933, 8179, 8753, 8999, 9491, 9901, 10639, 11131, 11213, 12197, 12689, 12853, 13099, 13591, 14083

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142216.

[p: p in PrimesUpTo(16000) | p mod 41 eq 20 ]; // Vincenzo Librandi, Aug 23 2012

Select[Range[20,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)
Select[Prime[Range[5000]],MemberQ[{20},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)

is(n)=isprime(n) && n%41==20 \\ Charles R Greathouse IV, Jul 02 2016

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 02 2016

A142218 Primes congruent to 21 mod 41.

Original entry on oeis.org

103, 349, 431, 677, 1087, 1579, 1907, 2153, 2399, 3137, 3301, 3547, 3793, 5023, 5351, 5843, 6007, 6089, 6581, 6827, 6991, 7237, 8221, 8467, 8713, 9041, 9533, 9697, 10271, 11173, 12157, 12239, 13469, 13633, 13879, 14207, 14699, 15601, 15683, 16339, 16421

Offset: 1

N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A142216, A142217.

[p: p in PrimesUpTo(17000) | p mod 41 eq 21 ]; // Vincenzo Librandi, Aug 23 2012

Select[Range[21,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)
Select[Prime[Range[5000]],MemberQ[{21},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)

is(n)=isprime(n) && n%41==21 \\ Charles R Greathouse IV, Jul 03 2016

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 03 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

A142217 Primes congruent to 20 mod 41.

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A142218 Primes congruent to 21 mod 41.

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A274202 Primes congruent to 31 mod 65.

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