A156107 -id:A156107 - cp's OEIS frontend

A156104 Primes p such that p+36 is also prime.

5, 7, 11, 17, 23, 31, 37, 43, 47, 53, 61, 67, 71, 73, 101, 103, 113, 127, 131, 137, 157, 163, 191, 193, 197, 227, 233, 241, 257, 271, 277, 281, 311, 313, 317, 331, 337, 347, 353, 373, 383, 397, 421, 431, 443, 463, 467, 487, 521, 541, 557, 563, 571, 577, 607

Offset: 1

Vincenzo Librandi, Feb 08 2009

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

Cf. A156112.

Cf. sequences of the type p+n are primes: A001359 (n=2), A023200 (n=4), A023201 (n=6), A023202 (n=8), A023203 (n=10), A046133 (n=12), A153417 (n=14), A049488 (n=16), A153418 (n=18), A153419 (n=20), A242476 (n=22), A033560 (n=24), A252089 (n=26), A252090 (n=28), A049481 (n=30), A049489 (n=32), A252091 (n=34), this sequence (n=36); A062284 (n=50), A049490 (n=64), A156105 (n=72), A156107 (n=144).

[p: p in PrimesUpTo(1000) | IsPrime(p + 36)]; // Vincenzo Librandi, Oct 31 2012

Select[Prime[Range[1000]], PrimeQ[(#+ 36)]&] (* Vincenzo Librandi, Oct 31 2012 *)

A252089 Primes p such that p + 26 is prime.

Original entry on oeis.org

3, 5, 11, 17, 41, 47, 53, 71, 83, 101, 113, 131, 137, 167, 173, 197, 251, 257, 281, 311, 347, 353, 383, 431, 461, 521, 587, 593, 617, 647, 683, 701, 743, 761, 797, 827, 857, 881, 911, 941, 971, 983, 1013, 1061, 1091, 1097, 1103, 1187, 1223, 1277, 1301, 1373

Offset: 1

Vincenzo Librandi, Dec 14 2014

			17 is in this sequence because 17+26 = 43 is prime.
431 is in this sequence because 431+26 = 457 is prime.

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. sequences of the type p+n are primes: A001359 (n=2), A023200 (n=4), A023201 (n=6), A023202 (n=8), A023203 (n=10), A046133 (n=12), A153417 (n=14), A049488 (n=16), A153418 (n=18), A153419 (n=20), A242476 (n=22), A033560 (n=24), this sequence (n=26), A252090 (n=28), A049481 (n=30), A049489 (n=32), A252091 (n=34), A156104 (n=36); A062284 (n=50), A049490 (n=64), A156105 (n=72), A156107 (n=144).

[NthPrime(n): n in [1..250] | IsPrime(NthPrime(n)+26)];

Select[Prime[Range[200]], PrimeQ[# + 26] &]

A156124 Primes p, such that p+72 and p+144 are both prime.

Original entry on oeis.org

7, 29, 37, 67, 79, 107, 127, 139, 167, 239, 277, 317, 347, 359, 419, 449, 499, 547, 739, 809, 839, 919, 947, 1019, 1217, 1229, 1289, 1327, 1367, 1399, 1409, 1427, 1439, 1549, 1597, 1789, 1997, 2017, 2069, 2237, 2239, 2267, 2477, 2549, 2647, 2657, 2659, 2897

Offset: 1

Vincenzo Librandi, Feb 08 2009

A156105 INTERSECT A156107. [R. J. Mathar, Jul 13 2009]

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

Cf. A156105, A156107.

[p: p in PrimesUpTo(3000)|IsPrime(p + 72)and IsPrime (p + 144)]; // Vincenzo Librandi, Oct 31 2012

Select[Prime[Range[3000]], And @@ PrimeQ[{# + 72, # + 144}]&] (* Vincenzo Librandi, Oct 31 2012 *)

More terms from R. J. Mathar, Jul 13 2009

A156111 Primes p such that p+18 and p+144 are both prime.

Original entry on oeis.org

5, 13, 19, 23, 29, 53, 79, 83, 89, 113, 139, 149, 163, 173, 193, 223, 239, 313, 379, 443, 449, 503, 599, 613, 643, 683, 709, 733, 739, 743, 809, 839, 919, 953, 1069, 1153, 1163, 1279, 1283, 1289, 1303, 1409, 1453, 1493, 1549, 1553, 1579, 1609, 1723, 1993, 1999

Offset: 1

Vincenzo Librandi, Feb 08 2009

A153418 INTERSECT A156107. [Bruno Berselli, Nov 01 2012]

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

Cf. A153418, A156107.

[p: p in PrimesUpTo(2000)|IsPrime(p + 18) and IsPrime (p + 144)]; // Vincenzo Librandi, Oct 30 2012

Select[Prime[Range[2000]], And @@ PrimeQ[{# + 18, # + 144}]&] (* Vincenzo Librandi, Oct 30 2012 *)

13 inserted and extended by R. J. Mathar, Feb 19 2009

A156123 Primes p such that p+36 and p+144 are both prime.

Original entry on oeis.org

5, 7, 23, 37, 47, 53, 67, 113, 127, 137, 163, 193, 257, 277, 313, 317, 347, 397, 443, 463, 487, 557, 607, 617, 683, 733, 823, 827, 947, 1087, 1093, 1223, 1283, 1423, 1453, 1523, 1657, 1723, 1787, 1993, 2017, 2063, 2143, 2203, 2207, 2237, 2273, 2297, 2503, 2543

Offset: 1

Vincenzo Librandi, Feb 08 2009

A156104 INTERSECT A156107. - Vincenzo Librandi, Nov 01 2012

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

Cf. A156104, A156107.

[p: p in PrimesUpTo(3000)|IsPrime(p + 36) and IsPrime (p + 144)]; // Vincenzo Librandi, Oct 31 2012

Select[Prime[Range[3000]], And @@ PrimeQ[{# + 36, # + 144}]&] (* Vincenzo Librandi, Oct 31 2012 *)

137 inserted and sequence extended by R. J. Mathar, Feb 19 2009

cp's OEIS Frontend

A156104 Primes p such that p+36 is also prime.

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A252089 Primes p such that p + 26 is prime.

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A156124 Primes p, such that p+72 and p+144 are both prime.

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A156111 Primes p such that p+18 and p+144 are both prime.

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Magma

Mathematica

Extensions

A156123 Primes p such that p+36 and p+144 are both prime.

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Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Extensions