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.
%I A172192 #18 Aug 16 2025 14:57:51 %S A172192 4,9,10,12,14,19,29,46,57,59,66,71,72,84,85,90,95,96,97,114,119,122, %T A172192 155,157,190,191,204,207,212,221,222,244,251,256,276,285,286,289,294, %U A172192 300,301,307,319,320,337,344,355,359,380,382,392,400,411,422,426,441,451 %N A172192 Numbers k such that k^6 - (k+1)^5 is prime. %C A172192 Corresponding primes are in A171771. Negative values of primes are obtained for 1 and 2. %e A172192 4^6-(4+1)^5 = 971 is prime, so 4 is in the sequence. %e A172192 5^6-(5+1)^5 = 7849 = 47*167 is composite, so 5 is not in the sequence. %e A172192 9^6-(9+1)^5 = 431441 is prime, so 9 is in the sequence. %t A172192 Select[Range[3,500],PrimeQ[#^6-(#+1)^5]&] (* _Harvey P. Dale_, Apr 25 2011 *) %o A172192 (Magma) [ n: n in [1..460] | IsPrime(p) and p gt 0 where p is n^6-(n+1)^5 ]; %o A172192 (PARI) is(n)=isprime(n^6-(n+1)^5) \\ _Charles R Greathouse IV_, Jun 13 2017 %Y A172192 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 A172192 nonn,easy %O A172192 1,1 %A A172192 Ulrich Krug (leuchtfeuer37(AT)gmx.de), Jan 29 2010 %E A172192 Edited, extended, non-specific references removed and MAGMA program added by Associate Editors OEIS, Mar 05 2010