A074626 Prime following the n-th Mersenne prime.

5, 11, 37, 131, 8209, 131101, 524309, 2147483659, 2305843009213693967, 618970019642690137449562141, 162259276829213363391578010288167, 170141183460469231731687303715884105757

Offset: 1

Author

Labos Elemer, Aug 26 2002

Keywords

• nonn
• hard

Links

• Amiram Eldar, Table of n, a(n) for n = 1..18

Crossrefs

Cf. A000668, A073715, A151800, A365160.

Programs

Maple

a:= n-> nextprime(numtheory[mersenne]([n])):
seq(a(n), n=1..12);  # Alois P. Heinz, Oct 30 2024

Mathematica

Table[NextPrime[2^MersennePrimeExponent[n] - 1], {n, 1, 12}] (* Amiram Eldar, Aug 10 2024 *)

Formula

a(n) = prime(primepi(A000668(n))+1).

From Amiram Eldar, Aug 10 2024: (Start)

a(n) = A151800(A000668(n)).

a(n) = A000668(n) + A365160(n). (End)