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 A048737 #19 Jul 02 2025 16:01:57 %S A048737 1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,30, %T A048737 31,32,34,35,36,38,39,40,42,45,48,49,50,51,52,54,56,57,60,61,62,63,64, %U A048737 65,68,70,72,75,76,78,80,81,84,85,89,90,91,93,95,96,98,100,102,104,105 %N A048737 Numbers whose prime divisors consist of primes p such that 2^p-1 is prime. %C A048737 Multiplicative closure of A000043. - _Charles R Greathouse IV_, Feb 21 2013 %H A048737 Ivan Neretin, <a href="/A048737/b048737.txt">Table of n, a(n) for n = 1..10000</a> %F A048737 a(n) = A122254(n) = A122260(n) for n < 22. - _Reinhard Zumkeller_, Aug 29 2006 %F A048737 Sum_{n>=1} 1/a(n) = Product_{p in A000043} p/(p-1) = 5.7838... - _Amiram Eldar_, Sep 27 2020 %e A048737 10 = 2 * 5 is a term since both 2 and 5 are Mersenne exponents (A000043). %t A048737 p = Join[{1}, MersennePrimeExponent @ Range[12]]; Select[Range[p[[-1]]], AllTrue[FactorInteger[#][[;; , 1]], MemberQ[p, #] &] &] (* _Amiram Eldar_, Sep 27 2020 *) %Y A048737 Cf. A000043, A122254, A122260. %K A048737 nonn %O A048737 1,2 %A A048737 _J. Lowell_ %E A048737 More terms from _James Sellers_, Apr 22 2000