

A342692


a(n) is the smallest prime p which is greater than the exponent of the nth Mersenne prime.


0



3, 5, 7, 11, 17, 19, 23, 37, 67, 97, 109, 131, 523, 613, 1283, 2207, 2287, 3221, 4259, 4441, 9697, 9949, 11239, 19949, 21713, 23227, 44501, 86249, 110527, 132059, 216103, 756853, 859447, 1257827, 1398281, 2976229, 3021407, 6972607, 13466923, 20996023
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OFFSET

1,1


LINKS



FORMULA



EXAMPLE

Terms begin as follows:
. a(n) =
n nth Mersenne prime exponent q nextprime(q)
   
1 2^2  1 = 3 2 3
2 2^3  1 = 7 3 5
3 2^5  1 = 31 5 7
4 2^7  1 = 127 7 11
5 2^13  1 = 8191 13 17
6 2^17  1 = 131071 17 19
7 2^19  1 = 524287 19 23
8 2^31  1 = 2147483647 31 37


MATHEMATICA

Table[NextPrime[MersennePrimeExponent[n]], {n, 1, 47}]


CROSSREFS



KEYWORD

hard,less,nonn


AUTHOR



STATUS

approved



