Update on k<300 minmax primes:
Code:
k largest prime
233 179992
13 233207
191 240802
249 251036
All are tested up to n=1M or more.
The largest primes of all other Ks have 300k digits or more.
k=283 was removed from the top of the list by Cruelty.
Its largest prime was at n=149351, but now it's at n=1702599.
The previous status can be found
here.