cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A128029 Numbers n such that (14^n - 3^n)/11 is prime.

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%I A128029 #11 Feb 17 2017 11:56:07
%S A128029 2,5,13,67,2657,3547,15649
%N A128029 Numbers n such that (14^n - 3^n)/11 is prime.
%C A128029 All terms are primes.
%C A128029 There is no further term up to prime(1400)=11657. - _Farideh Firoozbakht_, Apr 04 2007
%C A128029 No other terms < 100,000.
%t A128029 k=11; Select[ Prime[ Range[1,200] ], PrimeQ[ ((k+3)^# - 3^#)/k ]& ]
%o A128029 (PARI) is(n)=isprime((14^n-3^n)/11) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y A128029 Cf. A028491 = numbers n such that (3^n - 1)/2 is prime. Cf. A057468 = numbers n such that 3^n - 2^n is prime. Cf. A059801 = numbers n such that 4^n - 3^n is prime. Cf. A121877 = numbers n such that (5^n - 3^n)/2 is a prime. Cf. A128024, A128025, A128026, A128027, A128028, A128030, A128031, A128032.
%K A128029 hard,nonn
%O A128029 1,1
%A A128029 _Alexander Adamchuk_, Feb 11 2007
%E A128029 More terms from _Farideh Firoozbakht_, Apr 04 2007
%E A128029 Added term a(7)=15649 by _Robert Price_, Sep 12 2011