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A301580 a(n) is the number of positive integers between successive Mersenne primes. 0
3, 23, 95, 8063, 122879, 393215, 2146959359, 2305843007066210303, 618970017336847128235868159, 162258657859193720701440560726015, 170141021201192402518323912137873817599 (list; graph; refs; listen; history; text; internal format)
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: A196339 A196318 A213846 * A112459 A197303 A039506

Adjacent sequences:  A301577 A301578 A301579 * A301581 A301582 A301583

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified July 21 17:20 EDT 2019. Contains 325198 sequences. (Running on oeis4.)