A181710 Near-perfect numbers (A181595) of the form m*2^p, where m = 2^(p-1)*(2^p-1) is a perfect number (A000396).

24, 224, 15872, 1040384, 274844352512, 1125891316908032, 72057456598974464, 4951760154835678090382802944, 6129982163463555430774932117031404988667342368173719552

Offset: 1

Author

Vladimir Shevelev, Nov 07 2010

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..14

Crossrefs

Subsequence of A181595 and A181702.

Cf. A000043, A000396, A147538, A181596, A000396, A181701, A181702.

Programs

Mathematica

With[{p = MersennePrimeExponent[Range[10]]}, 2^(2*p - 1)*(2^p - 1)] (* Amiram Eldar, Apr 29 2024 *)

Formula

a(n) = A147538(A000043(n)). - Amiram Eldar, Apr 29 2024

Extensions

a(6)-a(9) from Amiram Eldar, Apr 29 2024