A100964 Smallest prime number that begins a prime gap of at least 2n.

3, 7, 23, 89, 113, 113, 113, 523, 523, 887, 1129, 1327, 1327, 1327, 1327, 1327, 1327, 9551, 15683, 15683, 15683, 15683, 19609, 19609, 19609, 19609, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 31397, 155921, 155921, 155921, 155921

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..775

Formula

a(n) = prime(A144309(n)). - Michel Marcus, Nov 02 2013

Example

a(5) = a(6) = a(7) = 113 because there is a gap of 14 between 113 and 127.

Mathematica

k=1; Table[While[Prime[k+1]-Prime[k] < 2n, k++ ]; Prime[k], {n, 48}]

Prog

(PARI) lista(pmax) = {my(k = 1, prv = 2, m = 2, kprv = 2); forprime(p = 3, pmax, k++; if(p - prv >= m, for(i = 1, (p - prv - m)/2 + 1, print1(prv, ", ")); m = p - prv + 2; kprv = k); prv = p); } \\ Amiram Eldar, Sep 06 2024

Crossrefs

Cf. A000230, A002386, A005250, A144309.

Sequence in context: A113860 A080355 A366694 * A080077 A096318 A373608

Adjacent sequences: A100961 A100962 A100963 * A100965 A100966 A100967

Keyword

nonn

Author

T. D. Noe, Nov 23 2004

Status

approved