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 A128457 #19 Jun 11 2021 08:40:20 %S A128457 1,2,4,5,12,78,80,90,117,120,813,1502,2306,2946,6308,13320,26369, %T A128457 31868,44265,81008 %N A128457 Numbers k such that 13^k - 2 is a prime. %C A128457 13320 is a term found by Lelio R Paula 11/2006. %C A128457 Numbers corresponding to a(13)..a(16) are probable primes. If n is of the form 4k+3 then 13^n-2 is composite, because 13^n-2 == (3^4)^k*3^3 - 2 == 25 == 0 (mod 5). So there is no term of the form 4k+3. - _Farideh Firoozbakht_, Dec 07 2009 %C A128457 a(21) > 2*10^5. - _Robert Price_, Oct 03 2014 %t A128457 Do[ f = 13^n - 2; If[ PrimeQ[ f ], Print[ {n, f} ] ], {n,1,1000} ] %Y A128457 Cf. A084714 (smallest prime of the form (2n-1)^k - 2). %Y A128457 Cf. A128472 (smallest prime of the form (2n-1)^k - 2 for k > (2n-1)). %Y A128457 Cf. A014224, A109080, A090669, A128455, A128458, A128459, A128460, A128461. %K A128457 nonn,hard,more %O A128457 1,2 %A A128457 _Alexander Adamchuk_, Mar 14 2007 %E A128457 813 from _Stefan Steinerberger_, May 05 2007 %E A128457 a(12) from _M. F. Hasler_, Feb 07 2009 %E A128457 a(13)-a(16) from _Farideh Firoozbakht_, Dec 07 2009 %E A128457 a(17)-a(20) from _Robert Price_, Oct 03 2014