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%I #13 Sep 08 2022 08:45:50
%S 4,9,10,12,14,19,29,46,57,59,66,71,72,84,85,90,95,96,97,114,119,122,
%T 155,157,190,191,204,207,212,221,222,244,251,256,276,285,286,289,294,
%U 300,301,307,319,320,337,344,355,359,380,382,392,400,411,422,426,441,451
%N Numbers n such that n^6-(n+1)^5 is prime.
%C Corresponding primes are in A171771. Negative values of primes are obtained for 1 and 2.
%e 4^6-(4+1)^5 = 971 is prime, so 4 is in the sequence.
%e 5^6-(5+1)^5 = 7849 = 47*167 is composite, so 5 is not in the sequence.
%e 9^6-(9+1)^5 = 431441 is prime, so 9 is in the sequence.
%t Select[Range[3,500],PrimeQ[#^6-(#+1)^5]&] (* _Harvey P. Dale_, Apr 25 2011 *)
%o (Magma) [ n: n in [1..460] | IsPrime(p) and p gt 0 where p is n^6-(n+1)^5 ];
%o (PARI) is(n)=isprime(n^6-(n+1)^5) \\ _Charles R Greathouse IV_, Jun 13 2017
%Y Cf. A171771, A002327 (primes of form n^2-n-1), A140719 (primes of form n^3-(n+1)^2), A087191 (primes of form n^4-(n+1)^3).
%K nonn,easy
%O 1,1
%A Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 29 2010
%E Edited, extended, non-specific references removed and MAGMA program added by Associate Editors OEIS, Mar 05 2010
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