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 A125243 #28 May 07 2025 11:17:47 %S A125243 0,22,86,154,160,488,705,958,975,1262,1932,2845,12718,14434,20337, %T A125243 38834,40433,44874,68279,68724,89911,104765 %N A125243 Numbers k such that binomial(5k, k) + 1 is prime. %C A125243 a(22) > 100000. - _Robert Price_, Mar 20 2025 %t A125243 Do[f=Binomial[5n, n]+1; If[PrimeQ[f], Print[n]], {n, 1, 1000}] %Y A125243 Cf. A125242, A066699, A066726. %Y A125243 Cf. A125220, A125221, A125240, A125241, A125244, A125245. %K A125243 hard,more,nonn %O A125243 1,2 %A A125243 _Alexander Adamchuk_, Nov 25 2006 %E A125243 More terms from _Ryan Propper_, Jan 05 2007 %E A125243 a(1)=0 prepended and a(13)-a(18) added by _Robert Price_, May 11 2019 %E A125243 a(19)-a(21) from _Robert Price_, Mar 20 2025 %E A125243 a(22) from _Georg Grasegger_, May 06 2025