First 250 good primes

Good primes: Primes such that its square is greater than the product of any two primes at the same number of positions before and after it in the sequence of primes.

First 250 good primes have values between 5 and 19207.

Checkout list of first: 10, 50, 100, 500, 1000 good primes. You can also check all good primes.

5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257, 269, 307, 311, 331, 347, 419, 431, 541, 557, 563, 569, 587, 593, 599, 641, 727, 733, 739, 809, 821, 853, 929, 937, 967, 1009, 1031, 1087, 1151, 1213, 1277, 1367, 1399, 1423, 1427, 1543, 1597, 1847, 1861, 1867, 1871, 1973, 1987, 1993, 1997, 2063, 2203, 2237, 2267, 2333, 2339, 2521, 2531, 2539, 2609, 2647, 2657, 2677, 2683, 2687, 2999, 3163, 3167, 3251, 3299, 3433, 3449, 3457, 3461, 3511, 3527, 3821, 3847, 3907, 3989, 4001, 4201, 4211, 4217, 4229, 4441, 4447, 4481, 4507, 4621, 4637, 4783, 4861, 4871, 4903, 4931, 4967, 5381, 5387, 5407, 5413, 5623, 5639, 5647, 5651, 6007, 6029, 6037, 6043, 6067, 6197, 6257, 6263, 6521, 6547, 6551, 6563, 6637, 6653, 6659, 6689, 6761, 6779, 6823, 6947, 7411, 7451, 7457, 7477, 7517, 7523, 7537, 8039, 8053, 8081, 8087, 8161, 8167, 8209, 8219, 8501, 8513, 8521, 8597, 8623, 8663, 8677, 8689, 8999, 9103, 9127, 9133, 9151, 9277, 9311, 9319, 9337, 9371, 9391, 9397, 9413, 9613, 10007, 10037, 10061, 10067, 10091, 10133, 10589, 10597, 10831, 10847, 10853, 11047, 11057, 11239, 11657, 11677, 11699, 11777, 11807, 11887, 11897, 12197, 12227, 12239, 12373, 12377, 12473, 12487, 12889, 13669, 13679, 13687, 14243, 14293, 14321, 14369, 14387, 14401, 14407, 14519, 14533, 14699, 14713, 15013, 15053, 15073, 15217, 15227, 15259, 15269, 16411, 16417, 16547, 16811, 16823, 16829, 16871, 16879, 16979, 17291, 17317, 17377, 17383, 17783, 17827, 17837, 17881, 17903, 17909, 18899, 18911, 19001, 19139, 19207

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