A092178 -id:A092178 - cp's OEIS frontend

A140371 Primes of the form 26k + 7.

7, 59, 137, 163, 241, 293, 397, 449, 631, 683, 709, 761, 787, 839, 1021, 1151, 1229, 1307, 1489, 1567, 1619, 1697, 1723, 1801, 1879, 1931, 2087, 2113, 2243, 2269, 2347, 2399, 2477, 2503, 2633, 2659, 2711, 2789, 2971, 3023, 3049, 3257, 3361, 3413, 3491, 3517

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

nonn

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Cf. A059245, A100202, A102732, A093191, A093350, A092178.

[a: n in [0..250]|IsPrime(a) where a is 26*n+7] // Vincenzo Librandi, Dec 18 2010

Select[Range[7, 30000, 26], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 21 2011 *)

Edited by R. J. Mathar, Jun 16 2008

A140373 Primes of the form 26*n+11.

Original entry on oeis.org

11, 37, 89, 167, 193, 271, 349, 401, 479, 557, 661, 739, 947, 1051, 1103, 1129, 1181, 1259, 1493, 1571, 1597, 1753, 1831, 1987, 2039, 2143, 2221, 2273, 2351, 2377, 2663, 2689, 2741, 2767, 2819, 2897, 3001, 3079, 3209, 3313, 3391, 3469, 3547, 3677, 3833

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

Also primes of the form 13*n+11. - N. J. A. Sloane, Jul 11 2008

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Cf. A059245, A100202, A102732, A093191, A093350, A092178, A111369 (gives 2*n).

[a: n in [0..250]|IsPrime(a) where a is 26*n+11] // Vincenzo Librandi, Dec 18 2010

Select[Range[11, 50000, 13], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 13 2011 *)

Edited by R. J. Mathar, Jun 16 2008

A155937 Numbers n such that 13*n + 8 is a prime.

Original entry on oeis.org

3, 5, 11, 17, 21, 23, 27, 35, 41, 45, 47, 63, 65, 75, 77, 81, 83, 93, 101, 105, 107, 111, 123, 137, 143, 153, 165, 167, 177, 195, 201, 203, 207, 213, 215, 231, 233, 237, 243, 251, 255, 273, 275, 287, 303, 311, 317, 327, 333, 335, 341, 345, 347, 353, 357, 371

Offset: 1

Vincenzo Librandi, Jan 31 2009

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

Cf. A092178, A155938, A155939.

[n: n in [0..400] | IsPrime(13*n + 8)]; // Vincenzo Librandi, Oct 16 2012

Select[Range[600], PrimeQ[13 # + 8] &] (* Vincenzo Librandi, Oct 16 2012 *)

A155939 Numbers k such that 13*k + 8 is not a prime.

Original entry on oeis.org

0, 1, 2, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 22, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 78, 79, 80, 82, 84, 85, 86, 87, 88

Offset: 1

Vincenzo Librandi, Jan 31 2009

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

Cf. A092178, A155937 (complement).

[n: n in [0..90] |not IsPrime(13*n + 8)]; // Vincenzo Librandi, Oct 15 2012

Select[Range[0, 90], !PrimeQ[13 # + 8] &] (* Vincenzo Librandi, Oct 15 2012 *)

A140375 Primes of the form 26n+23.

Original entry on oeis.org

23, 101, 127, 179, 257, 283, 439, 491, 569, 647, 673, 751, 829, 881, 907, 1063, 1193, 1297, 1427, 1453, 1531, 1583, 1609, 1973, 1999, 2129, 2207, 2311, 2389, 2441, 2467, 2753, 2857, 2909, 3169, 3221, 3299, 3533, 3559, 3637, 3767, 3793, 3923, 4001, 4027

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

Also primes congruent to 10 mod 13. - N. J. A. Sloane, Jul 11 2008

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

Cf. A000040, A059245, A100202, A102732, A093191, A093350, A092178.

[a: n in [0..250]|IsPrime(a) where a is 26*n+23]; // Vincenzo Librandi, Dec 18 2010

Select[Range[10, 50000, 13], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 13 2011 *)
Select[Prime[Range[200]],MemberQ[{10},Mod[#,13]]&] (* Vincenzo Librandi, Aug 15 2012 *)

Edited by R. J. Mathar, Jun 16 2008

A155938 Primes p such that 13*p + 8 is also prime.

Original entry on oeis.org

3, 5, 11, 17, 23, 41, 47, 83, 101, 107, 137, 167, 233, 251, 311, 317, 347, 353, 383, 467, 503, 521, 587, 593, 647, 683, 761, 797, 857, 941, 1013, 1031, 1103, 1181, 1187, 1223, 1301, 1433, 1493, 1571, 1607, 1721, 1847, 1907, 1913, 1931, 1973, 1997, 2081, 2153

Offset: 1

Vincenzo Librandi, Jan 31 2009

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

Cf. A092178, A155937, A155939.

[p: p in PrimesUpTo(2200)| IsPrime(13*p + 8)]; // Vincenzo Librandi, Oct 30 2012

Select[Prime[Range[2500]], PrimeQ[(13*# + 8)]&] (* Vincenzo Librandi, Oct 30 2012 *)

A140372 Primes of the form 26k + 9.

Original entry on oeis.org

61, 113, 139, 191, 269, 347, 373, 503, 607, 659, 919, 971, 997, 1049, 1153, 1231, 1283, 1361, 1439, 1543, 1621, 1699, 1777, 1907, 1933, 2011, 2063, 2089, 2141, 2297, 2531, 2557, 2609, 2687, 2713, 2791, 2843, 2999, 3181, 3259, 3389, 3467, 3571, 3623, 3701

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

Also primes of the form 13k + 9. - N. J. A. Sloane, Jul 11 2008

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A059245, A100202, A102732, A093191, A093350, A092178.

[a: n in [0..250]|IsPrime(a) where a is 26*n+9] // Vincenzo Librandi, Dec 18 2010

Select[Range[9, 30000, 26], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 21 2011 *)

Edited by R. J. Mathar, Jun 16 2008

A140374 Primes of the form 26k + 15.

Original entry on oeis.org

41, 67, 197, 223, 353, 379, 431, 457, 509, 587, 613, 691, 743, 769, 821, 977, 1237, 1289, 1367, 1471, 1523, 1549, 1601, 1627, 1783, 1861, 1913, 2017, 2069, 2251, 2381, 2459, 2693, 2719, 2797, 2927, 2953, 3083, 3109, 3187, 3343, 3499, 3733, 3863, 3889

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

nonn

Cf. A059245, A100202, A102732, A093191, A093350, A092178.

[a: n in [0..250]|IsPrime(a) where a is 26*n+15] // Vincenzo Librandi, Dec 18 2010

Select[Range[15, 20000, 26], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 18 2011 *)

Edited by R. J. Mathar, Jun 16 2008

A140376 Nonprimes of the form 26n+1.

Original entry on oeis.org

1, 27, 105, 183, 209, 235, 261, 287, 339, 365, 391, 417, 469, 495, 573, 625, 651, 703, 729, 755, 781, 807, 833, 885, 963, 989, 1015, 1041, 1067, 1119, 1145, 1197, 1275, 1353, 1379, 1405, 1431, 1457, 1509, 1535, 1561, 1587, 1639, 1665, 1691, 1717, 1743

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

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

Cf. A059245, A100202, A102732, A093191, A093350, A092178.

[a: n in [0..80] | not IsPrime(a) where a is 26*n+1]; // Vincenzo Librandi, Mar 22 2014

Select[26 Range[0, 100] + 1, ! PrimeQ@# &] (* Vincenzo Librandi, Mar 22 2014 *)

Edited by R. J. Mathar, Jun 16 2008

A140370 Composites of the form 26k + 21.

Original entry on oeis.org

21, 99, 125, 177, 203, 255, 333, 385, 411, 437, 489, 515, 567, 645, 671, 697, 723, 749, 775, 801, 879, 905, 931, 957, 1035, 1113, 1139, 1165, 1191, 1243, 1269, 1295, 1347, 1425, 1477, 1503, 1529, 1555, 1581, 1633, 1659, 1685, 1711, 1737, 1763, 1815, 1841

Offset: 1

Juri-Stepan Gerasimov, Jun 14 2008

Cf. A092178.

[(26*n+21): n in [0..100]|not IsPrime(26*n+21)] // Vincenzo Librandi, Dec 18 2010

Edited by R. J. Mathar, Jun 16 2008

cp's OEIS Frontend

A140371 Primes of the form 26k + 7.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

Extensions

A140373 Primes of the form 26*n+11.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Extensions

A155937 Numbers n such that 13*n + 8 is a prime.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

A155939 Numbers k such that 13*k + 8 is not a prime.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

A140375 Primes of the form 26n+23.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Extensions

A155938 Primes p such that 13*p + 8 is also prime.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

A140372 Primes of the form 26k + 9.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Extensions

A140374 Primes of the form 26k + 15.

Views

Author

Keywords

Crossrefs

Programs

Magma

Mathematica

Extensions