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.

A117360 Numbers m such that m and 2*m+1 have the same number of prime factors.

This page as a plain text file.
%I A117360 #10 Apr 30 2016 19:18:24
%S A117360 2,3,4,5,10,11,23,25,29,34,38,40,41,46,52,53,55,57,76,77,83,89,91,93,
%T A117360 106,113,118,123,129,130,131,133,143,145,159,161,169,171,172,173,177,
%U A117360 179,185,191,201,203,205,206,212,213,218,220,226,233,235,238,239,251
%N A117360 Numbers m such that m and 2*m+1 have the same number of prime factors.
%C A117360 A001222(a(n)) = A001222(2*a(n)+1);
%C A117360 Sophie Germain primes are a subsequence, see A005384.
%H A117360 R. Zumkeller, <a href="/A117360/b117360.txt">Table of n, a(n) for n = 1..10000</a>
%e A117360 m=52=2*2*13, 2*52+1=105=3*5*7, therefore 52 is a term.
%t A117360 Select[Range[255], PrimeOmega[#] == PrimeOmega[2 # + 1] &] (* _Ivan Neretin_, Apr 30 2016 *)
%o A117360 (PARI) is(n)=bigomega(n)==bigomega(2*n+1) \\ _Charles R Greathouse IV_, Apr 30 2016
%Y A117360 Cf. A068406.
%K A117360 nonn
%O A117360 1,1
%A A117360 _Reinhard Zumkeller_, Mar 10 2006