cp's OEIS Frontend

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.

A247820 Numbers k such that sigma(2*k-1) is a prime p.

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%I A247820 #16 Nov 11 2024 01:57:29
%S A247820 5,13,145,365,841,1201,1741,2521,3961,5101,7813,8581,13945,14281,
%T A247820 14965,41761,42925,73345,139921,229165,245701,265721,276025,289561,
%U A247820 298765,341965,351961,353641,367225,414961,595141,601705,676285,697381,711625,740545,942565
%N A247820 Numbers k such that sigma(2*k-1) is a prime p.
%C A247820 Supersequence of A247789.
%C A247820 Corresponding values of primes p for a(n) are A008438(a(n)-1) or A247837.
%H A247820 Martin Møller Skarbiniks Pedersen, <a href="/A247820/b247820.txt">Table of n, a(n) for n = 1..1000</a>
%e A247820 Number 13 is in sequence because sigma(2*13-1) = sigma(25) = 31 (prime).
%o A247820 (Magma) [n: n in [1..10000000] | IsPrime(SumOfDivisors(2*n-1))];
%o A247820 (PARI) for(n=1,10^7,if(isprime(sigma(2*n-1)),print1(n,", "))) \\ _Derek Orr_, Sep 25 2014
%Y A247820 Cf. A000203, A008438, A247789, A247837.
%K A247820 nonn
%O A247820 1,1
%A A247820 _Jaroslav Krizek_, Sep 24 2014