A354533 Even terms in A354525.

2, 6, 14, 62, 254, 1022, 16382, 262142, 1048574, 4294967294, 4611686018427387902, 295147905179352825854, 1237940039285380274899124222, 324518553658426726783156020576254, 340282366920938463463374607431768211454, 348449143727040986586495598010130648530942

Offset: 1

Author

Jianing Song, Aug 16 2022

Keywords

• nonn
• hard

Comments

Even numbers k such that for every prime factor p of k we have gpf(k+p) = p, gpf = A006530.

Even numbers k such that for every prime factor p of k, k+p is p-smooth.

Examples

			See A354532.
		

Crossrefs

Cf. A006530, A354525, A354531, A354532, A354534, A354536.

Programs

PARI

lista(nn,{lim=256},{lim_p=1<<32}) = for(n=1, nn, if(isA354531(n,lim,lim_p), print1(2*(2^n-1), ", "))) \\ See A354531 for the function isA354531

Formula

a(n) = 2*(2^A354531(n) - 1).