A158017 -id:A158017 - cp's OEIS frontend

A158015 Primes p such that 6*p-1 is also prime.

2, 3, 5, 7, 17, 19, 23, 29, 43, 47, 53, 59, 67, 103, 107, 109, 113, 127, 137, 157, 163, 197, 199, 227, 229, 239, 269, 283, 313, 317, 347, 359, 373, 379, 383, 389, 397, 439, 443, 449, 457, 463, 467, 523, 569, 577, 593, 599, 613, 617, 647, 653, 709, 733, 743, 773

Offset: 1

Roger L. Bagula, Mar 11 2009

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

Cf. A005382 for the type 2p-1, A062737 for 4p-1, A158016 for 8p-1, A158017 for 10p-1.

Primes in A024898, i.e., intersection of A024898 with A000040.

[p: p in PrimesUpTo(800) | IsPrime(6*p-1)]; // Vincenzo Librandi, Apr 14 2013

Select[Prime[Range[200]], PrimeQ[(6 # - 1)]&] (* Vincenzo Librandi, Apr 14 2013 *)

Edited by the Associate Editors of the OEIS, Apr 22 2009

A023237 Primes p such that 10*p + 1 is also prime.

Original entry on oeis.org

3, 7, 13, 19, 31, 43, 97, 103, 109, 151, 157, 181, 193, 211, 241, 271, 337, 349, 367, 409, 421, 439, 487, 523, 547, 571, 601, 613, 631, 691, 733, 769, 811, 823, 829, 883, 937, 1009, 1021, 1033, 1039, 1063, 1069, 1117, 1201, 1249, 1279, 1291, 1459, 1483, 1489

Offset: 1

David W. Wilson

Primes which with a 1 appended stay prime.
Corresponding values of 10n + 1 in A055781. - Jaroslav Krizek, Jul 14 2010
Subsequence of A024912. - Michel Marcus, May 21 2014

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

Cf. A024912, A055781, A105435, A005384 (2*p + 1), A158017 (10*p - 1).

[n: n in [0..1000] | IsPrime(n) and IsPrime(10*n+1)]; // Vincenzo Librandi, Nov 20 2010

[p: p in PrimesUpTo(1100)| IsPrime(10*p+1)]; // Vincenzo Librandi, May 21 2014

with(numtheory); for i from 1 to 500 do if isprime(10*ithprime(i)+1) then printf(`%d,`, ithprime(i)) fi: od: # James Sellers, Apr 09 2005

Select[Prime[Range[ 240]], PrimeQ[FromDigits[Join[IntegerDigits[ # ], {1}]]] &] (* Robert G. Wilson v, Apr 09 2005 *)
Select[Prime[Range[900]], PrimeQ[10 # + 1] &] (* Vincenzo Librandi, May 21 2014 *)

Edited by N. J. A. Sloane at the suggestion of M. F. Hasler, Aug 24 2007

A158016 Primes p such that 8*p-1 is also prime.

Original entry on oeis.org

3, 13, 19, 61, 79, 103, 163, 181, 193, 223, 229, 313, 331, 349, 409, 433, 439, 541, 571, 613, 619, 691, 751, 769, 853, 859, 919, 991, 1021, 1033, 1039, 1321, 1381, 1423, 1483, 1543, 1549, 1621, 1699, 1759, 1801, 1861, 1873, 1879, 1951, 1999, 2011, 2029, 2113

Offset: 1

Roger L. Bagula, Mar 11 2009

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

Cf. A005382 for the type 2p-1, A062737 for 4p-1, A158015 for 6p-1, A158017 for 10p-1.

[p: p in PrimesUpTo(2200) | IsPrime(8*p - 1)]; // Vincenzo Librandi, Apr 14 2013

Select[Prime[Range[600]], PrimeQ[(8 # - 1)]&] (* Vincenzo Librandi, Apr 14 2013 *)

Edited by the Associate Editors of the OEIS, Apr 22 2009

A276732 Primes p such that (p + 1)/10 is also prime.

Original entry on oeis.org

19, 29, 109, 229, 409, 709, 829, 1009, 1069, 1129, 1489, 1669, 1789, 2269, 2389, 2689, 3109, 3169, 3469, 3529, 3889, 4789, 4909, 5209, 5569, 5689, 5869, 6469, 6529, 6829, 8089, 8209, 8269, 8389, 8629, 9109, 9769, 9829, 10909, 12289, 12589, 12829, 12889, 13009, 13669, 13729, 14389

Offset: 1

Zak Seidov, Sep 16 2016

nonn

Zak Seidov, Table of n, a(n) for n = 1..9259

Cf. A137516, A158017.

Select[Prime@ Range@ 1800, PrimeQ[(# + 1)/10] &] (* Michael De Vlieger, Sep 16 2016 *)

a(n) = 10*A158017(n)-1.

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A158015 Primes p such that 6*p-1 is also prime.

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A023237 Primes p such that 10*p + 1 is also prime.

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A158016 Primes p such that 8*p-1 is also prime.

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A276732 Primes p such that (p + 1)/10 is also prime.

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