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A109503 Numbers k such that 66 * 10^k + 1 is prime. 0

%I #11 Apr 29 2024 09:30:39

%S 0,1,4,5,11,30,60,64,869,1685,12109,39684,65460,80064

%N Numbers k such that 66 * 10^k + 1 is prime.

%C All terms proved prime. Proof for the largest: PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 66*10^12109+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 69.89% 66*10^12109+1 is prime! (27.9892s+0.0059s). No more terms up to 38800, although another is 65460 found by Peter Benson (listed at Caldwell's Top-5000 Primes site).

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 660w1</a>.

%o (PARI) is(n)=ispseudoprime(66*10^n+1) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn

%O 1,3

%A _Jason Earls_, Aug 29 2005

%E a(12)-a(14) from Kamada data by _Tyler Busby_, Apr 29 2024

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Last modified June 8 09:36 EDT 2024. Contains 373217 sequences. (Running on oeis4.)