A353085 a(n) = nextprime(A138198(n-1)). Largest of a pair of consecutive primes whose prime gap is the first occurrence of n^2 or -1 if such a gap never occurs.

3, 11, 1847, 9587, 89753, 396833, 11981587, 70396589, 1872852203, 10958688203, 47203303559, 767644375301, 8817792099037, 78610833115937, 497687231721941, 2069461000670881, 22790428875365903, 78944802602540033

Offset

1,1

Links

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

Formula

a(n) = A151800(A138198(n-1)).

Crossrefs

Cf. A138198, A151800.

Sequence in context: A006938 A124984 A287432 * A034797 A212814 A101710

Adjacent sequences: A353082 A353083 A353084 * A353086 A353087 A353088

Keyword

nonn

Author

Chai Wah Wu, Apr 22 2022

Status

approved