Just for the sake of completeness, I've updated the table this time
searching for all primes with n>100k. My previous list just searched
for primes currently on the top-5000 list...
Code:
Score K Primes already on top-5000 list with n>100k
2481891 8331405 186251, 198122, 199127, 200363, 205885, 207555, 220532, 222399, 264459, 269433, 274141
2545731 49335 184364, 199133, 242161
2552143 26565 109141, 112017, 113640, 114935, 124714, 135551, 141212, 145695, 151485, 164728, 179468, 181672, 198349, 217001
2744279 25935 117344, 121855, 139225, 152803, 173518, 219995
2819593 6555 211720, 235260, 236514
2850866 19635 125045, 156800, 189197
2955186 373065 138979, 150532, 161917, 178284
2990424 102765 None!
3013362 62985 None!
3062642 67773 None!
3085355 5865 None!
3098476 3009765 None!
3119285 7526103585 None!
3123287 743411955 None!
3180954 2330445 None!
3197466 19437 None!
3222459 465465 None!
3238416 2805 200212
3242361 685084785 None!
3244999 2667885 None!