A345982 - OEIS

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A345982

Numbers k such that prime(2^k) - prime(2^(k-1)) + 1 is prime.

1, 2, 3, 5, 6, 7, 9, 12, 14, 46, 53, 55

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..12.

MATHEMATICA

Select[Range[20], PrimeQ[Prime[2^#] - Prime[2^(# - 1)] + 1] &] (* The program generates the first 9 terms of the sequence. To generate more, increase the Range constant but the program may take a long time to run. *) (* Harvey P. Dale, Jul 08 2021 *)

CROSSREFS

Cf. A033844, A092262.

Sequence in context: A108130 A195060 A153763 * A050747 A261514 A215798

Adjacent sequences: A345979 A345980 A345981 * A345983 A345984 A345985

KEYWORD

nonn,more,hard

AUTHOR

N. J. A. Sloane, Jul 07 2021

EXTENSIONS

a(10)-a(12) from Chai Wah Wu, Jul 07 2021 using A033844

STATUS

approved