A023264 -id:A023264 - cp's OEIS frontend

A023295 Primes that remain prime through 3 iterations of function f(x) = 8x + 9.

23, 643, 2293, 5023, 5653, 9643, 10723, 11503, 12823, 15493, 18353, 18773, 28403, 32003, 32183, 41953, 42853, 45233, 49853, 50873, 52103, 53113, 54623, 56123, 76003, 80803, 84443, 86783, 88813, 89413, 92033, 95213, 96823, 97943, 100613, 115793

Offset: 1

David W. Wilson

nonn

Primes p such that 8*p+9, 64*p+81 and 512*p+657 are also primes. - Vincenzo Librandi, Aug 04 2010

John Cerkan, Table of n, a(n) for n = 1..10000
a(n) == 3 (mod 10). - _John Cerkan_, Sep 24 2016

Subsequence of A023232, A023264, and of A153762.

[n: n in [1..450000] | IsPrime(n) and IsPrime(8*n+9) and IsPrime(64*n+81) and IsPrime(512*n+657)]; // Vincenzo Librandi, Aug 04 2010

A023351 Primes that remain prime through 5 iterations of function f(x) = 8x + 9.

Original entry on oeis.org

294793, 2586943, 5360623, 6351613, 7965743, 11141083, 11378453, 13458923, 14884823, 15585523, 18691633, 25387763, 29964293, 30766283, 32388253, 38647723, 40653433, 48716873, 48786593, 52628473, 54270533, 55507853, 56575633, 59103403

Offset: 1

David W. Wilson

nonn

Primes p such that 8*p+9, 64*p+81, 512*p+657, 4096*p+5265 and 32768*p+42129 are also primes. - Vincenzo Librandi, Aug 05 2010

John Cerkan, Table of n, a(n) for n = 1..10000

Subsequence of A023232, A023264, A023295, A023323, and of A153762.

[n: n in [1..19000000] | IsPrime(n) and IsPrime(8*n+9) and IsPrime(64*n+81) and IsPrime(512*n+657) and IsPrime(4096*n+5265) and IsPrime(32768*n+42129)] // Vincenzo Librandi, Aug 05 2010

prp5Q[n_]:=AllTrue[Rest[NestList[8#+9&,n,5]],PrimeQ]; Select[Prime[Range[3513000]],prp5Q] (* Harvey P. Dale, May 25 2024 *)
prp5Q2[n_] := AllTrue[NestList[8 # + 9 &, n, 5], PrimeQ]; Select[Range[23, 59120000, 70], prp5Q2] (* Faster  than the first Mathematica program above. *) (* Harvey P. Dale, May 25 2024 *)

a(n) == 23 (mod 70). - John Cerkan, Nov 13 2016

cp's OEIS Frontend

A023295 Primes that remain prime through 3 iterations of function f(x) = 8x + 9.

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