A354533 - OEIS

A354533

Even terms in A354525.

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

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OFFSET

1,1

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.

LINKS

Table of n, a(n) for n=1..16.

FORMULA

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

EXAMPLE

See A354532.

PROG

(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

CROSSREFS

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

Sequence in context: A295974 A324365 A346208 * A192764 A055691 A072171

Adjacent sequences: A354530 A354531 A354532 * A354534 A354535 A354536

KEYWORD

nonn,hard

AUTHOR

Jianing Song, Aug 16 2022

STATUS

approved