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 A227654 #19 Apr 09 2025 07:25:28 %S A227654 89460294,151165960539,3089285427491,6999761340223,7539504384825 %N A227654 Ruth-Aaron triples (1): sum of primes dividing n = sum of primes dividing (n+1) = sum of primes dividing (n+2). %C A227654 a(6) > 10^13. Taking into account primes multiplicity (A039752), the only triples up to 10^13 are those starting at 417162 and 6913943284. %H A227654 Shyam Sunder Gupta, <a href="https://doi.org/10.1007/978-981-97-2465-9_4">Smith Numbers</a>, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157. %H A227654 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_358.htm">Puzzle 358. Ruth-Aaron Pairs Revisited</a>, The Prime Puzzles and Problems Connection. %H A227654 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Ruth-AaronPair.html">Ruth-Aaron Pair</a>. %H A227654 Wikipedia, <a href="http://en.wikipedia.org/wiki/Ruth-Aaron_pair">Ruth-Aaron pair</a>. %e A227654 7539504384825 = 3^2 * 5^2 * 7^2 * 43 * 251 * 63361, %e A227654 7539504384826 = 2 * 19 * 367 * 10181 * 53101, %e A227654 7539504384827 = 17 * 457 * 26309 * 36887 and %e A227654 3 + 5 + 7 + 43 + 251 + 63361 = 2 + 19 + 367 + 10181 + 53101 = 17 + 457 + 26309 + 36887. %Y A227654 Cf. A006145, A039752. %K A227654 nonn,hard,more %O A227654 1,1 %A A227654 _Giovanni Resta_, Jul 19 2013