Good primes up to 35193

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.

There is 344 good primes smaller than 35193.

Checkout good primes up to: 100, 500, 1000, 10000.

List#

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, 19373, 19379, 19417, 19421, 19889, 19913, 19961, 20681, 20707, 20717, 20743, 20849, 20873, 20897, 20981, 21139, 21313, 21377, 21467, 21481, 21487, 21491, 21557, 22531, 22541, 22613, 22619, 22637, 22691, 22697, 22961, 23003, 23497, 23531, 23537, 23549, 23557, 23741, 24763, 24841, 24907, 24917, 25087, 25111, 25117, 25147, 25301, 25523, 25537, 25561, 25577, 25913, 26669, 26681, 27397, 27407, 27427, 27611, 27673, 27689, 27733, 27737, 28277, 28387, 28403, 28493, 28537, 28571, 28591, 28597, 29833, 29983, 30011, 30059, 30089, 30491, 30631, 30637, 30671, 30757, 30803, 31121, 31139, 31147, 31957, 32027, 32051, 32057, 32297, 32969, 33287, 33311, 33329, 34123

Table#

 12345678910
1 - 105111729374153596771
11 - 2097101127149179191223227251257
21 - 30269307311331347419431541557563
31 - 40569587593599641727733739809821
41 - 50853929937967100910311087115112131277
51 - 601367139914231427154315971847186118671871
61 - 701973198719931997206322032237226723332339
71 - 802521253125392609264726572677268326872999
81 - 903163316732513299343334493457346135113527
91 - 1003821384739073989400142014211421742294441
101 - 1104447448145074621463747834861487149034931
111 - 1204967538153875407541356235639564756516007
121 - 1306029603760436067619762576263652165476551
131 - 1406563663766536659668967616779682369477411
141 - 1507451745774777517752375378039805380818087
151 - 1608161816782098219850185138521859786238663
161 - 1708677868989999103912791339151927793119319
171 - 18093379371939193979413961310007100371006110067
181 - 19010091101331058910597108311084710853110471105711239
191 - 20011657116771169911777118071188711897121971222712239
201 - 21012373123771247312487128891366913679136871424314293
211 - 22014321143691438714401144071451914533146991471315013
221 - 23015053150731521715227152591526916411164171654716811
231 - 24016823168291687116879169791729117317173771738317783
241 - 25017827178371788117903179091889918911190011913919207
251 - 26019373193791941719421198891991319961206812070720717
261 - 27020743208492087320897209812113921313213772146721481
271 - 28021487214912155722531225412261322619226372269122697
281 - 29022961230032349723531235372354923557237412476324841
291 - 30024907249172508725111251172514725301255232553725561
301 - 31025577259132666926681273972740727427276112767327689
311 - 32027733277372827728387284032849328537285712859128597
321 - 33029833299833001130059300893049130631306373067130757
331 - 34030803311213113931147319573202732051320573229732969
341 - 35033287333113332934123      
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