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 A342692 a(n) is the smallest prime p which is greater than the exponent of the n-th 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..40. GIMPS, Known Mersenne primes Eric Weisstein's World of Mathematics, Mersenne Prime Wikipedia, Mersenne Prime FORMULA a(n) = A151800(A000043(n)). EXAMPLE Terms begin as follows: . a(n) = n n-th 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 Cf. A000043 (Mersenne prime exponents), A000668 (Mersenne primes), A151800 (next prime). Sequence in context: A128926 A139559 A158361 * A048184 A290283 A163420 Adjacent sequences: A342689 A342690 A342691 * A342693 A342694 A342695 KEYWORD hard,less,nonn AUTHOR David R. Kirkby, May 18 2021 STATUS approved

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Last modified December 6 22:36 EST 2023. Contains 367616 sequences. (Running on oeis4.)