A023249 -id:A023249 - cp's OEIS frontend

A023310 Primes that remain prime through 4 iterations of function f(x) = 3x + 10.

3, 199, 233, 709, 1361, 1367, 2137, 2879, 5519, 5987, 7283, 9719, 11699, 14983, 16417, 17881, 20939, 24481, 30467, 31663, 31741, 35107, 35863, 46811, 47869, 49261, 58207, 60497, 63317, 64781, 68777, 73453, 74021, 79901, 85487, 85571, 94327, 94999

Offset: 1

David W. Wilson

nonn

Primes p such that 3*p+10, 9*p+40, 27*p+130 and 81*p+400 are also primes. - Vincenzo Librandi, Aug 04 2010

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

Subsequence of A023211, A023249, and A023280.

[n: n in [1..1000000] | IsPrime(n) and IsPrime(3*n+10) and IsPrime(9*n+40) and IsPrime(27*n+130) and IsPrime(81*n+400)] // Vincenzo Librandi, Aug 04 2010

Select[Range[10^5], Times @@ Boole@ PrimeQ@ NestList[3 # + 10 &, #, 4] > 0 &] (* Michael De Vlieger, Oct 04 2016 *)

is(n)=isprime(n) && isprime(3*n+10) && isprime(9*n+40) && isprime(27*n+130) && isprime(81*n+400) \\ Charles R Greathouse IV, Oct 04 2016

a(n) == 3 or 9 (mod 14). - John Cerkan, Oct 04 2016

A023338 Primes that remain prime through 5 iterations of function f(x) = 3x + 10.

Original entry on oeis.org

233, 709, 11699, 16417, 24481, 31663, 63317, 94999, 172279, 185243, 205081, 228713, 240347, 266681, 285539, 334511, 372059, 395719, 479327, 583501, 734197, 786613, 856627, 863711, 1146091, 1187167, 1188259, 1423067, 1534591, 1562269, 1594301

Offset: 1

David W. Wilson

nonn

Primes p such that 3*p+10, 9*p+40, 27*p+130, 81*p+400 and 243*p+1210 are also primes. - Vincenzo Librandi, Aug 05 2010

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

Subsequence of A023211, A023249, A023280, and A023310.

[n: n in [1..25000000] | IsPrime(n) and IsPrime(3*n+10) and IsPrime(9*n+40) and IsPrime(27*n+130) and IsPrime(81*n+400) and IsPrime(243*n+1210)] // Vincenzo Librandi, Aug 05 2010

rp5Q[p_]:=AllTrue[Rest[NestList[3#+10&,p,5]],PrimeQ]; Select[Prime[ Range[ 150000]],rp5Q] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 17 2020 *)

is(n)=isprime(n) && isprime(3*n+10) && isprime(9*n+40) && isprime(27*n+130) && isprime(81*n+400) && isprime(243*n+1210) \\ Charles R Greathouse IV, Oct 11 2016

a(n) == 9 (mod 14). - John Cerkan, Oct 11 2016

Definition clarified by Harvey P. Dale, Mar 17 2020

cp's OEIS Frontend

A023310 Primes that remain prime through 4 iterations of function f(x) = 3x + 10.

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