A383591 Smallest prime p where the absolute difference of the gaps to the adjacent primes exceeds n*log(p).
7, 113, 1327, 15683, 31397, 31397, 360653, 1349533, 1357333, 17051887, 20831323, 47326913, 436273291, 3842610773, 3842610773, 22367084959, 25056082087, 25056082087, 304599509051, 1346294310749
Offset: 1
Examples
a(3) = 1327 because we have abs(1321 - 2*1327 + 1361) = 28, which is greater than 3*log(1327) ≈ 21.57, and no smaller prime meets this condition.