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%I A128026 #15 Jul 29 2023 18:32:38
%S A128026 2,3,5,37,599,38393,51431,118681,376417
%N A128026 Numbers n such that (10^n - 3^n)/7 is prime.
%C A128026 All terms are primes.
%C A128026 No other terms < 1000000.
%H A128026 Jon Grantham and Andrew Granville, <a href="https://arxiv.org/abs/2307.07894">Fibonacci primes, primes of the form 2^n-k and beyond</a>, arXiv:2307.07894 [math.NT], 2023.
%t A128026 k=7; Select[ Prime[ Range[1,200] ], PrimeQ[ ((k+3)^# - 3^#)/k ]& ]
%o A128026 (PARI) forprime(p=2,1e4,if(ispseudoprime((10^p-3^p)/7),print1(p", "))) \\ _Charles R Greathouse IV_, Jun 05 2011
%Y A128026 Cf. A028491 = numbers n such that (3^n - 1)/2 is prime.
%Y A128026 Cf. A057468 = numbers n such that 3^n - 2^n is prime.
%Y A128026 Cf. A059801 = numbers n such that 4^n - 3^n is prime.
%Y A128026 Cf. A121877 = numbers n such that (5^n - 3^n)/2 is a prime.
%Y A128026 Cf. A128024, A128025, A128027, A128028, A128029, A128030, A128031, A128032.
%K A128026 hard,nonn
%O A128026 1,1
%A A128026 _Alexander Adamchuk_, Feb 11 2007
%E A128026 a(6)-a(7) from _Robert Price_, Jun 04 2011
%E A128026 a(8)-a(9) from _Jon Grantham_, Jul 29 2023

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