116,969 = 114,660 + 2309, and offset 2309 = prime
I found a website which reports the rank of a given small prime number.
It reports that 2309 is the 343rd prime, but it only confirms that 116969
is a prime, without telling its rank...
Incidentally, 343 = 7^3.
In Dec 2020 I added a post in this thread discussing the clustering of primes
around N = 114,660, and noting that M = 120,120 would be another cluster
point we could watch out for in future. The discussion was at
It was noted that if a prime has composite offset from 120120, the prime factors
of the composite offset must be at least as large as 17. (Indeed, if the absolute
value of the offset is q, and 1 < q < 289 = 17^2, then q must be prime.)
We could now look at the offset of 116969 from 120120:
116,969 = 120,120 - 3151 and the offset is composite: 3151 = 23 x 137.