A139303 a(n) = (2^(2p - 1)/16)-1, where p is the n-th Mersenne prime A000668(n).

1, 511, 144115188075855871, 904625697166532776746648320380374280103671755200316906558262375061821325311

Offset: 1

Author

Omar E. Pol, Apr 13 2008

Keywords

• nonn

Crossrefs

Cf. A000668, A139294, A139295, A139296, A139297, A139298, A139299, A139300, A139301, A139302, A139304, A139305, A139306.

Programs

Mathematica

a[n_] := 2^(2^(MersennePrimeExponent[n] + 1) - 7) - 1; Array[a, 4] (* Amiram Eldar, Jul 10 2025 *)

Formula

a(n) = (2^(2*A000668(n)-1)/16)-1 = (A139294(n)/16)-1.

Extensions

a(4) from Amiram Eldar, Jul 10 2025