nBAB::Collection::Strong Prime Numbers

OEIS.org::A051634 (Strong primes)

A strong prime is a greater than the average of the two primes that immediately proceed and follow it.

There are 574 Strong primes that are less than 10,000. 64 of those 574 Strong primes had nBABs when this collection was created on 5 June 2016.

11, 17, 29, 37, 41, 59, 67, 
71, 79, 97, 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, 521, 
541, 557, 569, 587, 599, 613, 617, 
631, 641, 659, 673, 701, 719, 727, 
739, 751, 757, 769, 787, 809, 821, 
827, 853, 857, 877, 881, 907, 929, 
937, 967, 991, 1009, 1019, 1031, 1049, 
1061, 1087, 1091, 1117, 1151, 1163, 1181, 
1213, 1229, 1249, 1277, 1289, 1297, 1301, 
1319, 1361, 1399, 1423, 1427, 1447, 1451, 
1471, 1481, 1487, 1523, 1543, 1549, 1567, 
1579, 1597, 1607, 1619, 1657, 1663, 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, 2897, 2953, 2969, 2999, 3011, 
3019, 3037, 3061, 3079, 3109, 3119, 3163, 
3167, 3181, 3187, 3203, 3217, 3251, 3257, 
3299, 3319, 3329, 3343, 3359, 3371, 3389, 
3407, 3433, 3449, 3457, 3461, 3467, 3491, 
3511, 3527, 3539, 3557, 3571, 3581, 3607, 
3613, 3631, 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, 4517, 
4547, 4561, 4583, 4591, 4621, 4637, 4649, 
4673, 4721, 4729, 4751, 4783, 4787, 4799, 
4813, 4861, 4871, 4903, 4931, 4951, 4967, 
4987, 4999, 5009, 5021, 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, 9011, 
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, 
Strong Primes Greater Than 10,000
..., 19991, ..., 71317, ..., 72727, ..., 73037, ..., 73237, ..., 73637, ..., 74047, ..., 74747, ..., 76367, ..., 76667, ..., 77377, ..., 77477, ..., 77977, ..., 78787, ..., 78887, ..., 79397, ..., 79697, ..., 79997, ..., 97379, ..., 97879, ...

This C++ program was modified to generate the Strong primes collection and to test if a number is a Strong prime.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 05 June 2016
+ added 367 on 05 June 2016
+ added 19991 on 06 July 2016
+ added 97379 on 06 August 2016
+ added 97879 on 07 August 2016
+ added 71317 on 25 September 2016
+ added 1801 on 25 September 2016
+ added 4271 on 31 December 2016
+ added 379 on 02 January 2017
+ added 72727 on 07 January 2017
+ added 397 on 01 February 2017
+ added 73037 on 18 March 2017
+ added 73237 on 18 March 2017
+ added 73637 on 23 April 2017
+ added 419 on 02 May 2017
+ added 431 on 02 May 2017
+ added 439 on 08 May 2017
+ added 74047 on 05 June 2017
+ added 74747 on 06 June 2017
+ added 76367 on 10 June 2017
+ added 76667 on 10 June 2017
+ added 77377 on 11 June 2017
+ added 77477 on 11 June 2017
+ added 77977 on 08 August 2017
+ added 78787 on 10 August 2017
+ added 78887 on 10 August 2017
+ added 79397 on 11 August 2017
+ added 79697 on 11 August 2017
+ added 79997 on 11 August 2017
+ added 457 on 31 December 2017
+ added 461 on 06 January 2018
+ added 487 on 04 June 2018
+ added 521 on 27 June 2018

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This work is licensed under a Creative Commons Attribution 3.0 United States License.