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

%I #30 Sep 08 2022 08:44:47

%S 11,43,83,103,281,293,641,823,937,1069,1489,1733,2237,2251,2521,2539,

%T 2647,2671,3361,3529,3919,4129,4759,5531,5867,6101,6299,7417,7669,

%U 7853,7951,8443,8737,9547,10597,12041,12641,12821,14813,15083,15091,15413

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

%C Primes p such that 9*p+10, 81*p+100 and 729*p+910 are primes. - _Vincenzo Librandi_, Aug 04 2010

%H John Cerkan, <a href="/A023299/b023299.txt">Table of n, a(n) for n = 1..10000</a>

%e 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

%p 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

%o (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

%Y Cf. A023327, A023355.

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 25 09:11 EDT 2024. Contains 371964 sequences. (Running on oeis4.)