A023299 Primes that remain prime through 3 iterations of function f(x) = 9x + 10.

11, 43, 83, 103, 281, 293, 641, 823, 937, 1069, 1489, 1733, 2237, 2251, 2521, 2539, 2647, 2671, 3361, 3529, 3919, 4129, 4759, 5531, 5867, 6101, 6299, 7417, 7669, 7853, 7951, 8443, 8737, 9547, 10597, 12041, 12641, 12821, 14813, 15083, 15091, 15413

Offset

1,1

Comments

Primes p such that 9*p+10, 81*p+100 and 729*p+910 are primes. - Vincenzo Librandi, Aug 04 2010

Links

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

Example

11 is in the sequence because it is prime, 9*11 + 10 = 109 is prime, 9*109 + 10 = 991 is prime, and 9*991 + 10 = 8929 is prime. - Michael B. Porter, Aug 23 2016

Maple

A023299:=n->`if`(isprime(n) and isprime(9*n+10) and isprime(81*n+100) and isprime(729*n+910) , n, NULL): seq(A023299(n), n=1..10^5); # Wesley Ivan Hurt, Aug 23 2016

Prog

(Magma) [n: n in [1..450000] | IsPrime(n) and IsPrime(9*n+10) and IsPrime(81*n+100) and IsPrime(729*n+910)] // Vincenzo Librandi, Aug 04 2010

Crossrefs

Cf. A023327, A023355.

Sequence in context: A222184 A141195 A139853 * A031904 A305708 A022279

Adjacent sequences: A023296 A023297 A023298 * A023300 A023301 A023302

Keyword

nonn

Author

David W. Wilson

Status

approved