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 A085498 #9 Oct 04 2020 11:55:34 %S A085498 3,5,7,11,17,19,23,29,31,41,47,53,59,71,79,83,89,103,107,127,131,139, %T A085498 149,167,179,191,197,199,223,227,233,239,251,263,269,271,293,307,311, %U A085498 347,349,359,367,379,383,389,419,431,439,449,461,463,467,479,499,503 %N A085498 Primes p having at least one partition into distinct divisors of p + 1. %H A085498 Amiram Eldar, <a href="/A085498/b085498.txt">Table of n, a(n) for n = 1..2000</a> %F A085498 A085496(a(n)) > 0. %t A085498 seqQ[p_] := Module[{d = Most[Divisors[p+1]]}, SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, p}], p] > 0]; Select[Range[500], PrimeQ[#] && seqQ[#] &] (* _Amiram Eldar_, Jan 13 2020 *) %t A085498 Select[Prime[Range[100]],MemberQ[Total/@Subsets[Divisors[#+1]],#]&] (* _Harvey P. Dale_, Oct 04 2020 *) %Y A085498 Subsequence of A085493. %Y A085498 Cf. A085496, A085497, A085499. %K A085498 nonn %O A085498 1,1 %A A085498 _Reinhard Zumkeller_, Jul 03 2003