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 A176934 #15 Sep 08 2022 08:45:53 %S A176934 2,17,149,12401 %N A176934 Primes of the form 7^m+10^m. %C A176934 No more terms with m < 5000. - _Vincenzo Librandi_, Jan 03 2014 %C A176934 From _Jeppe Stig Nielsen_, Feb 05 2022 (Start) %C A176934 Exponent m must be zero or a power of two. Because if m>0 has a nontrivial odd divisor, then the polynomial X^m+Y^m is reducible, and the corresponding number 10^m+7^m has an algebraic factor. %C A176934 It can be conjectured that no more terms exist. From the factordb.com link it can be inferred that for any new terms the exponent m must be at least 2^23. %C A176934 Factors of larger candidates are being collected, see Keller link. %C A176934 (End) %H A176934 Wilfrid Keller, <a href="http://www.prothsearch.com/GFNfacs.html">Factors of generalized Fermat numbers found after Björn & Riesel</a> %H A176934 Markus Tervooren, factordb.com, <a href="http://factordb.com/index.php?query=10%5E%282%5En%29%2B7%5E%282%5En%29">Factors of 10^(2^n)+7^(2^n)</a> %t A176934 Select[Table[7^m + 10^m, {m, 0, 1500}], PrimeQ] (* _Vincenzo Librandi_, Jan 03 2014 *) %o A176934 (Magma) [a: m in [0..1500] | IsPrime(a) where a is 7^m+10^m]; %Y A176934 Primes in A245807. %K A176934 nonn %O A176934 1,1 %A A176934 _Vincenzo Librandi_, Apr 29 2010