A prime number is said to be a strong prime, if it is larger than the average of the two surrounding prime numbers (the previous and the next prime number).
Example:- 37 is a strong prime number. It is larger than the average of the two surrounding primes, i.e. 31 and 41 (31 + 41 = 72, 72/2 = 36).
In other words, the prime numbers which are neither weak nor balanced are called strong prime numbers.
Strong prime numbers between 1 to 100
11, 17, 29, 37, 41, 59, 67, 71, 79, 97
Strong prime numbers between 101 to 500
101, 107, 127, 137, 149, 163, 179, 191, 197, 223, 227, 239, 251, 269, 277, 281, 307, 311, 331, 347, 367, 379, 397, 419, 431, 439, 457, 461, 479, 487, 499
Strong prime numbers between 501 to 1000
521, 541, 557, 569, 587, 599, 613, 617, 631, 641, 659, 673, 701, 719, 727, 739, 751, 769, 787, 809, 821, 827, 853, 857, 877, 881, 907, 929, 937, 967, 991
Strong prime numbers between 1001 to 5000
1009, 1019, 1031, 1049, 1061, 1087, 1091, 1117, 1151, 1163, 1181, 1213, 1229, 1249, 1277, 1289, 1297, 1301, 1319, 1361, 1399, 1423, 1447, 1451, 1471, 1481, 1487, 1523, 1543, 1549, 1567, 1579, 1597, 1607, 1619, 1657, 1667, 1693, 1697, 1721, 1733, 1741, 1777, 1783, 1787, 1801, 1823, 1847, 1861, 1867, 1871, 1877, 1901, 1931, 1949, 1973, 1987, 1993, 1997, 2011, 2027, 2053, 2063, 2081, 2087, 2111, 2129, 2137, 2141, 2153, 2203, 2237, 2267, 2281, 2293, 2309, 2333, 2339, 2347, 2371, 2377, 2381, 2389, 2411, 2437, 2459, 2467, 2473, 2503, 2521, 2531, 2539, 2549, 2579, 2591, 2609, 2617, 2647, 2657, 2671, 2683, 2687, 2707, 2711, 2729, 2741, 2749, 2767, 2789, 2797, 2801, 2819, 2833, 2851, 2857, 2879, 2953, 2969, 2999, 3011, 3019, 3037, 3061, 3079, 3109, 3119, 3163, 3167, 3181, 3187, 3203, 3217, 3257, 3299, 3319, 3329, 3343, 3359, 3371, 3389, 3407, 3433, 3449, 3457, 3461, 3467, 3491, 3511, 3527, 3539, 3557, 3571, 3581, 3607, 3613, 3613, 3659, 3671, 3691, 3697, 3719, 3727, 3761, 3767, 3793, 3821, 3847, 3851, 3877, 3907, 3917, 3929, 3943, 3989, 4001, 4019, 4049, 4073, 4091, 4127, 4153, 4157, 4201, 4211, 4217, 4229, 4241, 4253, 4259, 4271, 4283, 4327, 4337, 4349, 4357, 4391, 4421, 4441, 4447, 4481, 4507, 4513, 4547, 4561, 4583, 4591, 4621, 4637, 4649, 4673, 4721, 4729, 4751, 4783, 4787, 4799, 4813, 4861, 4871, 4903, 4931, 4951, 4967, 4987, 4999
Strong prime numbers between 5001 to 10000
5009, 5201, 5039, 5051, 5077, 5099, 5147, 5167, 5189, 5227, 5231, 5261, 5273, 5279, 5297, 5323, 5347, 5381, 5407, 5413, 5417, 5431, 5437, 5441, 5471, 5477, 5501, 5519, 5527, 5557, 5569, 5623, 5639, 5647, 5651, 5657, 5683, 5689, 5711, 5737, 5741, 5779, 5801, 5821, 5839, 5849, 5857, 5867, 5879, 5897, 5923, 5981, 6007, 6029, 6037, 6043, 6067, 6089, 6113, 6131, 6143, 6163, 6197, 6211, 6217, 6247, 6257, 6269, 6299, 6311, 6337, 6353, 6359, 6389, 6421, 6449, 6469, 6521, 6547, 6551, 6563, 6569, 6577, 6599, 6637, 6653, 6659, 6673, 6689, 6701, 6733, 6761, 6779, 6791, 6823, 6827, 6857, 6869, 6899, 6907, 6947, 6959, 6967, 6991, 6997, 7013, 7039, 7057, 7069, 7103, 7121, 7127, 7151, 7177, 7187, 7207, 7211, 7229, 7237, 7243, 7283, 7297, 7307, 7321, 7331, 7349, 7393, 7411, 7451, 7457, 7477, 7487, 7499, 7517, 7537, 7547, 7559, 7573, 7589, 7603, 7639, 7669, 7681, 7687, 7699, 7717, 7723, 7741, 7753, 7757, 7789, 7817, 7867, 7873, 7877, 7901, 7919, 7927, 7933, 7949, 7993, 8009, 8039, 8053, 8081, 8087, 8111, 8147, 8161, 8167, 8209, 8219, 8231, 8263, 8269, 8287, 8291, 8311, 8353, 8363, 8387, 8419, 8429, 8443, 8461, 8501, 8513, 8521, 8537, 8563, 8573, 8597, 8623, 8627, 8641, 8663, 8677, 8689, 8707, 8731, 8737, 8779, 8803, 8819, 8831, 8837, 8861, 8887, 8923, 8929, 8963, 8969, 8999, 9007, 9029, 9041, 9059, 9091, 9103, 9127, 9133, 9151, 9157, 9173, 9181, 9199, 9221, 9239, 9277, 9281, 9311, 9319, 9337, 9341, 9371, 9391, 9413, 9419, 9431, 9437, 9461, 9491, 9511, 9533, 9547, 9587, 9601, 9613, 9619, 9629, 9643, 9677, 9689, 9719, 9733, 9739, 9767, 9781, 9787, 9803, 9811, 9829, 9851, 9857, 9883, 9901, 9923, 9929, 9941, 9967
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