A023288 -id:A023288 - cp's OEIS frontend

A023317 Primes that remain prime through 4 iterations of function f(x) = 6x + 5.

11, 13, 83, 151, 317, 373, 1721, 3529, 4153, 4243, 4637, 4783, 5209, 5849, 5923, 6661, 8431, 10903, 11329, 14519, 16183, 16979, 20149, 26669, 27509, 27827, 29873, 29947, 32987, 33637, 33937, 34919, 35099, 35543, 36277, 36691, 38069, 38461, 41651, 47407

Offset: 1

David W. Wilson

nonn

Primes p such that 6*p+5, 36*p+35, 216*p+215 and 1296*p+1295 are also primes. - Vincenzo Librandi, Aug 04 2010

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

Subsequence of A023221, A023257, A023288, and A059325.

[n: n in [1..1000000] | IsPrime(n) and IsPrime(6*n+5) and IsPrime(36*n+35) and IsPrime(216*n+215) and IsPrime(1296*n+1295)] // Vincenzo Librandi, Aug 04 2010

if4Q[n_]:=AllTrue[Rest[NestList[6#+5&,n,4]],PrimeQ]; Select[Prime[ Range[ 5000]],if4Q] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 10 2018 *)

A023345 Primes that remain prime through 5 iterations of function f(x) = 6x + 5.

Original entry on oeis.org

13, 4637, 5849, 5923, 16183, 16979, 34919, 36277, 67003, 79337, 115571, 159739, 175141, 245753, 249133, 305717, 341569, 359353, 383833, 437263, 455317, 498497, 511519, 567121, 579961, 581699, 633797, 683831, 693431, 849197, 972197, 1022449

Offset: 1

David W. Wilson

nonn

Primes p such that 6*p+5, 36*p+35, 216*p+215, 1296*p+1295 and 7776*p+7775 are also primes. - Vincenzo Librandi, Aug 05 2010

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

Subsequence of A023221, A023257, A023288, A023317, and A059325.

[n: n in [1..10000000] | IsPrime(n) and IsPrime(6*n+5) and IsPrime(36*n+35) and IsPrime(216*n+215) and IsPrime(1296*n+1295) and IsPrime(7776*n+7775)] // Vincenzo Librandi, Aug 05 2010

Select[Range[1100000],And@@PrimeQ[NestList[6#+5&,#,5]]&] (* Harvey P. Dale, Mar 31 2012 *)

cp's OEIS Frontend

A023317 Primes that remain prime through 4 iterations of function f(x) = 6x + 5.

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