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A241886 a(n) = smallest prime p such that there is a gap of n*(n+1) between p and the next prime. 1
3, 23, 199, 887, 4297, 16141, 82073, 31397, 404851, 1468277, 1357201, 17983717, 36271601, 20831323, 391995431, 1851255191, 3917587237, 12010745569, 23323808741, 82490815123, 400729567081, 1339347750707, 2210401546601, 4872634110067, 5120731250207 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Jens Kruse Andersen, Table of n, a(n) for n = 1..36

Thomas R. Nicely, First occurrence prime gaps.

FORMULA

a(n) = A000230(n*(n+1)/2). - Jens Kruse Andersen, Oct 01 2014

EXAMPLE

a(3) = 199 because 199 and 211 are consecutive primes with difference 3*4=12.

PROG

(Python)

import sympy

n=1

while n>=0:

....p=2

....while  sympy.nextprime(p)-p!=(n*(n+1))

........p=sympy.nextprime(p)

....print(p)

....n=n+1

....p=sympy.nextprime(p)

CROSSREFS

Cf. A000230, A001223.

Sequence in context: A060880 A331718 A093155 * A096649 A235131 A235360

Adjacent sequences:  A241883 A241884 A241885 * A241887 A241888 A241889

KEYWORD

nonn,hard

AUTHOR

Abhiram R Devesh, Aug 09 2014

EXTENSIONS

Definition corrected and more terms using Nicely link from Jens Kruse Andersen, Oct 01 2014

STATUS

approved

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Last modified September 19 03:31 EDT 2021. Contains 347550 sequences. (Running on oeis4.)