|
%I #24 Sep 08 2022 08:44:47
%S 103,281,293,823,937,1733,3361,3919,4129,6101,8443,15413,16217,17959,
%T 21067,26459,26479,30253,31247,36691,37171,38561,40493,41411,46451,
%U 57709,60869,64621,79433,79987,89821,92821,113567,114997,118873,125539,142573
%N Primes that remain prime through 4 iterations of function f(x) = 9x + 10.
%C Primes p such that 9*p+10, 81*p+100, 729*p+910 and 6561*p+8200 are also primes. - _Vincenzo Librandi_, Aug 04 2010
%H John Cerkan, <a href="/A023327/b023327.txt">Table of n, a(n) for n = 1..10000</a>
%e 103 is in the sequence because it is prime, 9*103 + 10 = 937 is prime, 9*937 + 10 = 8443 is prime, 9*8443 + 10 = 75997 is prime, and 9*75997 + 10 = 683983 is prime. - _Michael B. Porter_, Aug 23 2016
%p A023327:=n->`if`(isprime(n) and isprime(9*n+10) and isprime(81*n+100) and isprime(729*n+910) and isprime(6561*n+8200), n, NULL): seq(A023327(n), n=1..5*10^5); # _Wesley Ivan Hurt_, Aug 23 2016
%o (Magma) [n: n in [1..5000000] | IsPrime(n) and IsPrime(9*n+10) and IsPrime(81*n+100) and IsPrime(729*n+910) and IsPrime(6561*n+8200)] // _Vincenzo Librandi_, Aug 04 2010
%Y Cf. A023299, A023355.
%K nonn
%O 1,1
%A _David W. Wilson_
|
