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A023350 Primes that remain prime through 5 iterations of function f(x) = 8x + 7. 1

%I #19 Sep 08 2022 08:44:47

%S 25589,220469,225629,286619,783269,1215629,1407389,1542029,1642919,

%T 2329469,2776979,3104159,4082759,4229129,5405999,5905619,6548849,

%U 6862859,7681409,7904669,8623799,8971049,9599309,9658469,9725039,11420579

%N Primes that remain prime through 5 iterations of function f(x) = 8x + 7.

%C Primes p such that 8*p+7, 64*p+63, 512*p+511, 4096*p+4095 and 32768*p+32767 are also primes. - _Vincenzo Librandi_, Aug 05 2010

%H John Cerkan, <a href="/A023350/b023350.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) == 29 (mod 30). - _John Cerkan_, Nov 08 2016

%o (Magma) [n: n in [1..19000000] | IsPrime(n) and IsPrime(8*n+7) and IsPrime(64*n+63) and IsPrime(512*n+511) and IsPrime(4096*n+4095) and IsPrime(32768*n+32767)] // _Vincenzo Librandi_, Aug 05 2010

%Y Subsequence of A023231, A023263, A023294, A023322, and A139487.

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)