A134266 Primes associated with the prime gaps listed in A085237.

2, 3, 5, 7, 13, 19, 23, 31, 47, 53, 61, 73, 83, 89, 113, 293, 317, 523, 887, 1129, 1327, 8467, 9551, 12853, 14107, 15683, 19609, 25471, 31397, 155921, 338033, 360653, 370261, 492113, 1349533, 1357201, 1561919, 2010733, 4652353, 11113933, 15203977, 17051707, 20831323, 47326693, 122164747, 189695659, 191912783

Offset

1,1

Comments

The smallest prime p(n) such that p(n+1)-p(n) is nondecreasing. The smallest prime p(n) such that (p(n+1)/p(n))^p(n) is increasing. [Thomas Ordowski, May 26 2012]

a(n) is the last prime in the n-th sublist of prime numbers defined in A348178. - Ya-Ping Lu, Oct 19 2021

Links

Table of n, a(n) for n=1..47.

Michel Planat and Patrick Solé, Improving Riemann prime counting, arXiv preprint arXiv:1410.1083 [math.NT], 2014.

Formula

a(n) = A000040(A085500(n)). - M. F. Hasler, Apr 26 2014

Prog

(Python)
from sympy import nextprime; p, r = 2, 0
while p < 2*10**8:
    q = nextprime(p); g = q - p
    if g >= r: print(p, end = ', '); r = g
    p = q # Ya-Ping Lu, Jan 23 2024

Crossrefs

See also A205827(n) = A000040(A214935(n)), A182514(n) = A000040(A241540(n)).

Cf. A348178.

Sequence in context: A038917 A124661 A319126 * A233043 A231099 A062252

Adjacent sequences: A134263 A134264 A134265 * A134267 A134268 A134269

Keyword

nonn

Author

David W. Wilson, Dec 31 2007

Status

approved