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%I #23 Jul 04 2021 08:43:43
%S 3,19,29,37,1879,3181,3331,19597,38993,84239,90679
%N Numbers k such that 53^k - 52^k is a prime.
%C Terms greater than 1000 often correspond only to strong pseudoprimes. [Clarified by _M. F. Hasler_, Sep 15 2013]
%C All terms are prime. - _Robert Price_, Jan 20 2013
%C a(12) > 10^5. - _Robert Price_, Jan 20 2013
%C To elaborate on Robert Price's comment that all terms are prime: This is also true for all other sequences of numbers n such that k^n - (k-1)^n is prime. It is easy to prove by elementary means that if n = a * b, then k^n - (k-1)^n is divisible by k^(n-a) - (k-1)^(n-a) and k^(n-b) - (k-1)^(n-b). - _Alonso del Arte_, Sep 15 2013
%Y Cf. A000043, A057468, A059801, A059802, A062572-A062666.
%K nonn,hard
%O 1,1
%A _Mike Oakes_, May 18 2001, May 19 2001
%E a(8)-a(11) from _Robert Price_, Jan 20 2013