login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Squarefree numbers (from A005117) with prime divisors in a 2p+1 progression.
4

%I #7 Nov 19 2013 13:11:00

%S 10,21,55,110,253,1081,1265,1711,2530,3403,5671,11891,13861,15931,

%T 25651,34453,59455,60031,64261,73153,108811,114481,118910,126253,

%U 158203,171991,258121,351541,371953,392941,482653,518671,568301,703891,822403,853471,869221,933661

%N Squarefree numbers (from A005117) with prime divisors in a 2p+1 progression.

%C Squarefree numbers with k>=2 prime divisors of the form p_1 * p_2 * … * p_k, where p_1 < p_2 < … < p_k = primes with p_k = 2 * p_(k-1) + 1.

%C Supersequence of A156592 (numbers of the form p*q, p and q prime with q=2*p+1; see A005384 and A005385).

%e 118910 = 2*5*11*23*47, where 5 = 2*2 + 1, 11 = 2*5 + 1, 23 = 2*11 + 1, 47 = 2*23 + 1.

%Y Cf. A005117, A156592, A005384, A005385, A000040, A231967, A231968, A231969.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Nov 16 2013