A045313 -id:A045313 - cp's OEIS frontend

A045460 Primes congruent to {0, 4, 6} mod 7.

7, 11, 13, 41, 53, 67, 83, 97, 109, 137, 139, 151, 167, 179, 181, 193, 223, 251, 263, 277, 293, 307, 347, 349, 389, 419, 431, 433, 461, 487, 503, 557, 571, 587, 599, 601, 613, 641, 643, 683, 727, 739, 769, 797

Offset: 1

N. J. A. Sloane

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

Cf. A045313 (complement).

[ p: p in PrimesUpTo(1000) | p mod 7 in {0, 4, 6} ]; // Vincenzo Librandi, Aug 13 2012

Select[Prime[Range[200]],MemberQ[{0,4,6},Mod[#,7]]&] (* Vincenzo Librandi, Aug 13 2012 *)
Select[Flatten[#+{0,4,6}&/@Range[7,1000,7]],PrimeQ] (* Harvey P. Dale, Dec 14 2019 *)

A215308 Primes congruent to {1, 2, 3, 5} mod 17.

Original entry on oeis.org

2, 3, 5, 19, 37, 53, 71, 73, 103, 107, 137, 139, 173, 223, 239, 241, 257, 277, 307, 311, 359, 379, 409, 443, 461, 479, 547, 563, 613, 617, 631, 647, 683, 719, 733, 751, 787, 821, 853, 887, 919, 937, 953, 971, 991, 1021, 1039, 1091, 1093, 1123, 1193

Offset: 1

Vincenzo Librandi, Aug 08 2012

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

Cf. A000040, A042998, A045313.

[p: p in PrimesUpTo(1200) | p mod 17 in [1, 2, 3, 5]];

Select[Prime[Range[500]],MemberQ[{1,2,3,5},Mod[#,17]]&]

A215306 Primes congruent to {1, 2, 3, 5} mod 11.

Original entry on oeis.org

2, 3, 5, 13, 23, 47, 67, 71, 79, 89, 101, 113, 137, 157, 167, 179, 181, 199, 211, 223, 233, 269, 277, 311, 313, 331, 353, 379, 397, 401, 409, 419, 421, 431, 443, 463, 467, 487, 509, 541, 563, 577, 599, 607, 617, 619, 641, 643, 661, 673, 683, 709, 727

Offset: 1

Vincenzo Librandi, Aug 08 2012

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

Cf. A000040, A042998, A045313.

[p: p in PrimesUpTo(1000) | p mod 11 in [1, 2, 3, 5]];

Select[Prime[Range[400]],MemberQ[{1,2,3,5},Mod[#,11]]&]

A215307 Primes congruent to {1, 2, 3, 5} mod 13.

Original entry on oeis.org

2, 3, 5, 29, 31, 41, 53, 67, 79, 83, 107, 109, 131, 157, 197, 211, 223, 239, 263, 313, 317, 353, 367, 379, 419, 421, 431, 443, 457, 499, 509, 521, 523, 547, 577, 587, 599, 601, 613, 653, 677, 691, 733, 743, 757, 769, 809, 811, 821, 859, 863, 887, 911

Offset: 1

Vincenzo Librandi, Aug 08 2012

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

Cf. A000040, A042998, A045313.

[p: p in PrimesUpTo(1000) | p mod 13 in [1, 2, 3, 5]];

Select[Prime[Range[400]],MemberQ[{1,2,3,5},Mod[#,13]]&]

A215309 Primes congruent to {1, 2, 3, 5} mod 19.

Original entry on oeis.org

2, 3, 5, 41, 43, 59, 79, 97, 157, 173, 191, 193, 211, 229, 233, 269, 271, 307, 347, 383, 401, 419, 421, 439, 457, 461, 499, 571, 613, 647, 727, 743, 761, 839, 857, 877, 953, 971, 991, 1009, 1031, 1069, 1103, 1123, 1181, 1217, 1237, 1259, 1297

Offset: 1

Vincenzo Librandi, Aug 08 2012

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

Cf. A000040, A045313.

[p: p in PrimesUpTo(1300) | p mod 19 in [1, 2, 3, 5]];

Select[Prime[Range[500]],MemberQ[{1,2,3,5},Mod[#,19]]&]

cp's OEIS Frontend

A045460 Primes congruent to {0, 4, 6} mod 7.

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Magma

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A215308 Primes congruent to {1, 2, 3, 5} mod 17.

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Magma

Mathematica

A215306 Primes congruent to {1, 2, 3, 5} mod 11.

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Magma

Mathematica

A215307 Primes congruent to {1, 2, 3, 5} mod 13.

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Magma

Mathematica

A215309 Primes congruent to {1, 2, 3, 5} mod 19.

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Magma

Mathematica