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 A065913 #8 Feb 26 2017 16:30:11
%S A065913 3,5,7,61,11,13,1273609,17,19,331,23,6431804812640900941,547,29,31,
%T A065913 371281,919,37,723901,41,43
%N A065913 Smallest prime of form (n+1)^k-n^k.
%C A065913 Comments from _Alexander Adamchuk_, Dec 01 2006: (Start)
%C A065913 All odd primes appear in a(n) at least once. The first appearance of an odd prime p is at n = (p-1)/2.
%C A065913 a((p-1)/2) = p for an odd prime p.
%C A065913 a(22) = 23^229 - 22^229 is too large to include. It has 312 decimal digits.
%C A065913 a(23)-a(46) = {47, 1801, 1951, 53, 2269, 2437, 59, 61, 4925281, 3169, 67, 3571, 71, 73, 4219, 4447, 79, 30914273881, 83, 5419, 3679488080703419029992001830200360494989758810080014618823621, 89, 6211, 23382031}.
%C A065913 a(47) = 48^58543 - 47^58543 is too large to include. It has 98425 decimal digits.
%C A065913 a(48)-a(58) = {97, 7351, 101, 103, 8269, 107, 109, 9241, 113, 54664711, 10267}.
%C A065913 a(59) = 60^4663 - 59^4663. It has 8292 decimal digits.
%C A065913 a(60) = 61^54517 - 60^54517. It has 97331 decimal digits.
%C A065913 a(61)-a(81) = {713835580568173731369609539971, 11719, 127, 86548801, 131, 13267, 13669, 137, 139, 496940436849933148484939822444032113390611498072883923298539774627631945868169334995191, 113800495603976028899998661913482644451644387715995710215436605525039737336830571095980506932977448410777858266201, 58329802318048613482563140972219929, 2639948386755753473388124912433009743732807, 149, 151, 153322207649456947462552507840652437, 1517045588059, 157, 1767611013841, 19441, 163}.
%C A065913 a(82) = 83^331 - 82^331. It has 636 decimal digits.
%C A065913 a(83) = 167.
%C A065913 a(84) = 85^179 - 84^179. It has 346 decimal digits.
%C A065913 a(85)-a(105) = 267217051, 173, 293109961, 23497, 179, 181, 25117, 488904527834196204158742748944541, 26227, 2081544344660333015884252162151127102699920950101669675583052736376217501372173959207735927588562334550194111760450436831, 191, 193, 6014268846559, 197, 199, 53397779357967755570376892781394768316196882820228621180807406343608647492333350034301, 530707531, 17492708299776808914354631, 8605791381097, 596286601, 211. (End)
%H A065913 Ray Chandler, <a href="/A065913/b065913.txt">Table of n, a(n) for n = 1..46</a>
%F A065913 a(n) = (n+1)^A058013(n)-n^A058013(n)
%Y A065913 Cf. A058013
%K A065913 nonn
%O A065913 1,1
%A A065913 _Labos Elemer_, Nov 28 2001