A045469 -id:A045469 - cp's OEIS frontend

A042992 Primes congruent to {0, 2, 3, 5, 6} (mod 7).

2, 3, 5, 7, 13, 17, 19, 23, 31, 37, 41, 47, 59, 61, 73, 79, 83, 89, 97, 101, 103, 107, 131, 139, 149, 157, 163, 167, 173, 181, 191, 199, 223, 227, 229, 233, 241, 251, 257, 269, 271, 283, 293, 307, 311, 313, 317, 331, 349, 353, 359, 367, 373, 383, 397, 401

Offset: 1

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 1..6000

Cf. A000040, A045469 (complement).

[p: p in PrimesUpTo(500) | p mod 7 in [0, 2, 3, 5, 6]]; // Vincenzo Librandi, Aug 09 2012

Select[Prime[Range[120]], MemberQ[{0, 2, 3, 5, 6}, Mod[#, 7]] &] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2012 *)

A045461 Primes congruent to {0, 1, 4} mod 7.

Original entry on oeis.org

7, 11, 29, 43, 53, 67, 71, 109, 113, 127, 137, 151, 179, 193, 197, 211, 239, 263, 277, 281, 337, 347, 379, 389, 421, 431, 449, 463, 487, 491, 547, 557, 571, 599, 613, 617, 631, 641, 659, 673, 683, 701, 739, 743

Offset: 1

N. J. A. Sloane

The same as A045469 but without the initial 7 (the only prime congruent to 0 mod 7).

Vincenzo Librandi, Table of n, a(n) for n = 1..3000

Cf. A045312 (complement).

[ p: p in PrimesUpTo(1000) | p mod 7 in {0, 1, 4} ]; // Vincenzo Librandi, Aug 13 2012

Select[Prime[Range[120]], MemberQ[{0, 1, 4}, Mod[#, 7]] &] (* From Alonso del Arte based on Orlovsky's program for A042992, Feb 18 2012 *)

forprime(p=2,1e3,if((n->n<2||n==4)(p%7),print1(p", "))) \\ Charles R Greathouse IV, Feb 20 2012

a(n) ~ 3 n log n. [Charles R Greathouse IV, Feb 20 2012]

A215163 Primes congruent to {1, 4} mod 11.

Original entry on oeis.org

23, 37, 59, 67, 89, 103, 191, 199, 257, 331, 353, 367, 389, 397, 419, 433, 463, 499, 521, 587, 617, 631, 653, 661, 683, 719, 727, 829, 859, 881, 947, 983, 991, 1013, 1049, 1093, 1123, 1181, 1277, 1291, 1321, 1409, 1423, 1453, 1489, 1511, 1607, 1621, 1709, 1753, 1783, 1871, 1907

Offset: 1

Vincenzo Librandi, Aug 06 2012

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

Cf. A000040, A045469.

[ p: p in PrimesUpTo(2000) | p mod 11 in {1, 4} ];

Select[Prime[Range[2000]],MemberQ[{1,4},Mod[#,11]]&]

A215164 Primes congruent to {1, 4} mod 13.

Original entry on oeis.org

17, 43, 53, 79, 131, 157, 173, 199, 251, 277, 313, 433, 443, 521, 547, 563, 599, 641, 677, 719, 797, 823, 859, 911, 937, 953, 1031, 1093, 1109, 1171, 1187, 1213, 1223, 1249, 1291, 1301, 1327, 1447, 1483, 1499, 1613, 1733, 1759, 1811, 1847, 1873, 1889, 1951, 1993

Offset: 1

Vincenzo Librandi, Aug 06 2012

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

Cf. A000040, A045469.

[ p: p in PrimesUpTo(2000) | p mod 13 in {1, 4} ];

 Select[Prime[Range[2000]],MemberQ[{1,4},Mod[#,13]]&]

A215165 Primes congruent to {1, 4} mod 17.

Original entry on oeis.org

89, 103, 137, 157, 191, 239, 293, 307, 409, 443, 463, 599, 613, 647, 701, 769, 919, 953, 1021, 1109, 1123, 1259, 1279, 1327, 1361, 1381, 1429, 1483, 1531, 1619, 1667, 1721, 1789, 1823, 1871, 1973, 1993, 2027, 2129, 2143, 2333, 2347, 2381, 2503, 2551, 2687

Offset: 1

Vincenzo Librandi, Aug 06 2012

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

Cf. A000040, A045469.

[ p: p in PrimesUpTo(3000) | p mod 17 in {1, 4} ];

Select[Prime[Range[3000]],MemberQ[{1,4},Mod[#,17]]&]

A215166 Primes congruent to {1, 4} mod 19.

Original entry on oeis.org

23, 61, 137, 191, 229, 251, 419, 457, 479, 571, 593, 631, 647, 761, 821, 859, 1049, 1087, 1103, 1163, 1201, 1217, 1277, 1429, 1483, 1543, 1559, 1597, 1619, 1657, 1733, 1787, 1847, 1901, 1999, 2053, 2113, 2129, 2243, 2281, 2341, 2357, 2417, 2531, 2683

Offset: 1

Vincenzo Librandi, Aug 06 2012

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

Cf. A000040, A045469.

[ p: p in PrimesUpTo(3000) | p mod 19 in {1, 4} ];

Select[Prime[Range[3000]],MemberQ[{1,4},Mod[#,19]]&]

A215370 Primes congruent to {0, 2, 3, 5, 6} mod 11.

Original entry on oeis.org

2, 3, 5, 11, 13, 17, 47, 61, 71, 79, 83, 101, 113, 127, 137, 149, 157, 167, 179, 181, 193, 211, 223, 233, 269, 277, 281, 311, 313, 347, 379, 401, 409, 421, 431, 443, 457, 467, 479, 487, 509, 523, 541, 563, 577, 599, 607, 619, 641, 643, 673, 677, 709, 739

Offset: 1

Vincenzo Librandi, Aug 09 2012

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

Cf. A000040, A042992, A045469.

[p: p in PrimesUpTo(800) | p mod 11 in [0, 2, 3, 5, 6]];

Select[Prime[Range[400]],MemberQ[{0,2,3,5,6},Mod[#,11]]&]

A215371 Primes congruent to {0, 2, 3, 5, 6} mod 13.

Original entry on oeis.org

2, 3, 5, 13, 19, 29, 31, 41, 67, 71, 83, 97, 107, 109, 149, 197, 211, 223, 227, 239, 263, 317, 331, 353, 367, 379, 383, 409, 419, 421, 431, 457, 461, 487, 499, 509, 523, 577, 587, 601, 613, 617, 643, 653, 691, 733, 743, 757, 769, 773, 809, 811, 821, 863

Offset: 1

Vincenzo Librandi, Aug 09 2012

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

Cf. A000040, A042992, A045469.

[p: p in PrimesUpTo(1000) | p mod 13 in [0, 2, 3, 5, 6]];

Select[Prime[Range[400]],MemberQ[{0,2,3,5,6},Mod[#,13]]&]

A215372 Primes congruent to {0, 2, 3, 5, 6} mod 17.

Original entry on oeis.org

2, 3, 5, 17, 19, 23, 37, 53, 71, 73, 107, 139, 173, 193, 223, 227, 241, 257, 277, 311, 359, 379, 397, 431, 461, 479, 499, 547, 563, 601, 617, 631, 683, 719, 733, 751, 787, 821, 839, 853, 887, 907, 937, 941, 971, 991, 1009, 1039, 1091, 1093, 1193

Offset: 1

Vincenzo Librandi, Aug 09 2012

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

Cf. A000040, A042992, A045469.

[p: p in PrimesUpTo(1200) | p mod 17 in [0, 2, 3, 5, 6]];

Select[Prime[Range[400]],MemberQ[{0,2,3,5,6},Mod[#,17]]&]

A215373 Primes congruent to {0, 2, 3, 5, 6} mod 19.

Original entry on oeis.org

2, 3, 5, 19, 41, 43, 59, 79, 97, 101, 139, 157, 173, 193, 211, 233, 269, 271, 307, 347, 367, 383, 401, 421, 439, 443, 461, 499, 557, 613, 709, 727, 743, 823, 839, 857, 877, 937, 953, 971, 991, 1009, 1013, 1031, 1051, 1069, 1123, 1181, 1237, 1259, 1279, 1297

Offset: 1

Vincenzo Librandi, Aug 09 2012

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

Cf. A000040, A042992, A045469.

[p: p in PrimesUpTo(1500) | p mod 19 in [0, 2, 3, 5, 6]];

Select[Prime[Range[400]],MemberQ[{0,2,3,5,6},Mod[#,19]]&]

cp's OEIS Frontend

A042992 Primes congruent to {0, 2, 3, 5, 6} (mod 7).

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Magma

Mathematica

A045461 Primes congruent to {0, 1, 4} mod 7.

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Magma

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PARI

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A215163 Primes congruent to {1, 4} mod 11.

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Magma

Mathematica

A215164 Primes congruent to {1, 4} mod 13.

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Magma

Mathematica

A215165 Primes congruent to {1, 4} mod 17.

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Magma

Mathematica

A215166 Primes congruent to {1, 4} mod 19.

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Magma

Mathematica

A215370 Primes congruent to {0, 2, 3, 5, 6} mod 11.

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Magma

Mathematica

A215371 Primes congruent to {0, 2, 3, 5, 6} mod 13.

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Magma

Mathematica

A215372 Primes congruent to {0, 2, 3, 5, 6} mod 17.

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