A301580 a(n) is the number of positive integers between successive Mersenne primes.

3, 23, 95, 8063, 122879, 393215, 2146959359, 2305843007066210303, 618970017336847128235868159, 162258657859193720701440560726015, 170141021201192402518323912137873817599

Offset

1,1

Links

Table of n, a(n) for n=1..11.

Caldwell and Honaker, 61897...68159 (27-digits), Prime Curios!

Formula

a(n) = A139231(n) - 1. - Omar E. Pol, Mar 23 2018

Example

a(2) = 23 because there are 23 positive integers between successive Mersenne primes 7 and 31.

Mathematica

-1 + Differences@ Array[2^MersennePrimeExponent[#] - 1 &, 12] (* Michael De Vlieger, Apr 21 2018 *)

Crossrefs

Cf. A000668, A139231.

Sequence in context: A196318 A213846 A376963 * A112459 A197303 A039506

Adjacent sequences: A301577 A301578 A301579 * A301581 A301582 A301583

Keyword

nonn

Author

G. L. Honaker, Jr., Mar 23 2018

Status

approved