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A176559 The number of primes between two consecutive Mersenne primes. 3
1, 6, 19, 996, 11222, 31138, 105054174, 55890483939986569, 10201730748372641087928204 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
G. L. Honaker, Jr. and C. Caldwell, 19, Prime Curios!.
FORMULA
a(n) = A059305(n+1) - A059305(n) - 1. - Amiram Eldar, May 14 2023
EXAMPLE
a(3) = 19 because between 3rd and fourth Mersenne primes (31 and 127) there are 19 primes (37, 41, 43, ... 113).
MATHEMATICA
(* Run the program for A000668 first *) Table[-1 + PrimePi[A000668[[n + 1]]] - PrimePi[A000668[[n]]], {n, 7}] (* Alonso del Arte, Dec 07 2010 *)
CROSSREFS
Cf. A000040, A000668 (Mersenne primes), A059305.
Sequence in context: A091876 A041066 A060748 * A241715 A224919 A282377
KEYWORD
nonn,hard,more
AUTHOR
G. L. Honaker, Jr., Dec 07 2010
EXTENSIONS
a(9) from the data at A059305 added by Amiram Eldar, May 14 2023
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)