First 900 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 900 good primes have values between 5 and 165437.

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

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, 35729, 35747, 35797, 35801, 35831, 35951, 35963, 36433, 36451, 36467, 36523, 36527, 36671, 38113, 38149, 38167, 38177, 38543, 38557, 38593, 38651, 38669, 39079, 39089, 40423, 40427, 40459, 40471, 40483, 40693, 40697, 40739, 40751, 40759, 40801, 40813, 40819, 41011, 41039, 41113, 41131, 41141, 41177, 41507, 41513, 41579, 41593, 41603, 41843, 41849, 41879, 41887, 41941, 41947, 43573, 43577, 43889, 43933, 43943, 43961, 44449, 44483, 44491, 44497, 45817, 45943, 46021, 46049, 46091, 46133, 46141, 46399, 46439, 46993, 47041, 47051, 47087, 47111, 47119, 47269, 47279, 47287, 47293, 47491, 47497, 48299, 48311, 48337, 48397, 48407, 48463, 48473, 48479, 48731, 48751, 48757, 48973, 48989, 49103, 50741, 50767, 50821, 50833, 51109, 51131, 51193, 51197, 51329, 51341, 51407, 51413, 51419, 52501, 52511, 52529, 52541, 53591, 54251, 54269, 54311, 54319, 54347, 54361, 54367, 54401, 55579, 55603, 55619, 55661, 55763, 55787, 55793, 56359, 56369, 56377, 56431, 56437, 56467, 56473, 58889, 58897, 60589, 60601, 60607, 61211, 61253, 61283, 61331, 61441, 61463, 61469, 62459, 62467, 63241, 63277, 63299, 63311, 64553, 64567, 64577, 64601, 64849, 64871, 64877, 64997, 65027, 65089, 65099, 65353, 65407, 65519, 65537, 66293, 66337, 66343, 66359, 66449, 66457, 66491, 66697, 66841, 66851, 66919, 67033, 67121, 69653, 69677, 69737, 69761, 69809, 69821, 69827, 69991, 69997, 70001, 70099, 70111, 70117, 70823, 70841, 70913, 71143, 71233, 73277, 73291, 73303, 73327, 73351, 73361, 73517, 73523, 73547, 73939, 73999, 74017, 74047, 74131, 74143, 74159, 74687, 74699, 74707, 75133, 75149, 75161, 75167, 76463, 77137, 77237, 77261, 77417, 77471, 77477, 79031, 79087, 79103, 79133, 79147, 79273, 79531, 79549, 79601, 79757, 79769, 79801, 79811, 80141, 80147, 80447, 80471, 80599, 80651, 80669, 80909, 84047, 84053, 84121, 84127, 84179, 84299, 84307, 84313, 84389, 84947, 84961, 85427, 85991, 86011, 86069, 86077, 86111, 86161, 86239, 88463, 88589, 88643, 88651, 88771, 88789, 88799, 88807, 89363, 89491, 89513, 89519, 91079, 91121, 91127, 91753, 91801, 91807, 91909, 91939, 92107, 92143, 92173, 92177, 92219, 92297, 92311, 92333, 92347, 92353, 92551, 92567, 92623, 92639, 93809, 93851, 93871, 93887, 94291, 94307, 94397, 97367, 98179, 98207, 98297, 98317, 98369, 98407, 98711, 98801, 98837, 98867, 98887, 98893, 100267, 100333, 100357, 100907, 100927, 101081, 101107, 101111, 101267, 103289, 103387, 103391, 103511, 103549, 103787, 103801, 103903, 103951, 103963, 103967, 103979, 104459, 104471, 104677, 105227, 106087, 106103, 106163, 106181, 106187, 106207, 106261, 106273, 107563, 107581, 107599, 107671, 107687, 107693, 107827, 107837, 108707, 108739, 108751, 108791, 108863, 108877, 108881, 110419, 110431, 110477, 110527, 110557, 110563, 111409, 111427, 111467, 111487, 112757, 112901, 112909, 112997, 113011, 114451, 114467, 114547, 114571, 114593, 114599, 114641, 115547, 115589, 115727, 115751, 115757, 115763, 115769, 116789, 116903, 116923, 119489, 119503, 119533, 119549, 119611, 119653, 119657, 120503, 120539, 120551, 120557, 120641, 120661, 120811, 120817, 120823, 127031, 127189, 127207, 127217, 127241, 127247, 127447, 127481, 127579, 127591, 127597, 127637, 128099, 128111, 128147, 128189, 128201, 128287, 128311, 128321, 128339, 128389, 131413, 131431, 131437, 131671, 131687, 131701, 132229, 132491, 132511, 132523, 132589, 132607, 132619, 134033, 134153, 134837, 134989, 135173, 135193, 135271, 135347, 135389, 136013, 136027, 136163, 136177, 136189, 136207, 136303, 136319, 136327, 136333, 139241, 139267, 139291, 139297, 139301, 143239, 143387, 143401, 143443, 143461, 143477, 144139, 144161, 144241, 144247, 145253, 145349, 145381, 145391, 145417, 145451, 145459, 148061, 148123, 148139, 148147, 148151, 148331, 148361, 148627, 148663, 148853, 148859, 148913, 148991, 149011, 149053, 149057, 150767, 150827, 150869, 150881, 151141, 151153, 156577, 156589, 156619, 156659, 156671, 156941, 156967, 157007, 157013, 157037, 157049, 157163, 157177, 158507, 159013, 159059, 159157, 159389, 159403, 159457, 159617, 159623, 159667, 159671, 160541, 160579, 160619, 162251, 162389, 162493, 162517, 162523, 165287, 165311, 165437

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 - 35033287333113332934123357293574735797358013583135951
351 - 36035963364333645136467365233652736671381133814938167
361 - 37038177385433855738593386513866939079390894042340427
371 - 38040459404714048340693406974073940751407594080140813
381 - 39040819410114103941113411314114141177415074151341579
391 - 40041593416034184341849418794188741941419474357343577
401 - 41043889439334394343961444494448344491444974581745943
411 - 42046021460494609146133461414639946439469934704147051
421 - 43047087471114711947269472794728747293474914749748299
431 - 44048311483374839748407484634847348479487314875148757
441 - 45048973489894910350741507675082150833511095113151193
451 - 46051197513295134151407514135141952501525115252952541
461 - 47053591542515426954311543195434754361543675440155579
471 - 48055603556195566155763557875579356359563695637756431
481 - 49056437564675647358889588976058960601606076121161253
491 - 50061283613316144161463614696245962467632416327763299
501 - 51063311645536456764577646016484964871648776499765027
511 - 52065089650996535365407655196553766293663376634366359
521 - 53066449664576649166697668416685166919670336712169653
531 - 54069677697376976169809698216982769991699977000170099
541 - 55070111701177082370841709137114371233732777329173303
551 - 56073327733517336173517735237354773939739997401774047
561 - 57074131741437415974687746997470775133751497516175167
571 - 58076463771377723777261774177747177477790317908779103
581 - 59079133791477927379531795497960179757797697980179811
591 - 60080141801478044780471805998065180669809098404784053
601 - 61084121841278417984299843078431384389849478496185427
611 - 62085991860118606986077861118616186239884638858988643
621 - 63088651887718878988799888078936389491895138951991079
631 - 64091121911279175391801918079190991939921079214392173
641 - 65092177922199229792311923339234792353925519256792623
651 - 66092639938099385193871938879429194307943979736798179
661 - 67098207982979831798369984079871198801988379886798887
671 - 68098893100267100333100357100907100927101081101107101111101267
681 - 690103289103387103391103511103549103787103801103903103951103963
691 - 700103967103979104459104471104677105227106087106103106163106181
701 - 710106187106207106261106273107563107581107599107671107687107693
711 - 720107827107837108707108739108751108791108863108877108881110419
721 - 730110431110477110527110557110563111409111427111467111487112757
731 - 740112901112909112997113011114451114467114547114571114593114599
741 - 750114641115547115589115727115751115757115763115769116789116903
751 - 760116923119489119503119533119549119611119653119657120503120539
761 - 770120551120557120641120661120811120817120823127031127189127207
771 - 780127217127241127247127447127481127579127591127597127637128099
781 - 790128111128147128189128201128287128311128321128339128389131413
791 - 800131431131437131671131687131701132229132491132511132523132589
801 - 810132607132619134033134153134837134989135173135193135271135347
811 - 820135389136013136027136163136177136189136207136303136319136327
821 - 830136333139241139267139291139297139301143239143387143401143443
831 - 840143461143477144139144161144241144247145253145349145381145391
841 - 850145417145451145459148061148123148139148147148151148331148361
851 - 860148627148663148853148859148913148991149011149053149057150767
861 - 870150827150869150881151141151153156577156589156619156659156671
871 - 880156941156967157007157013157037157049157163157177158507159013
881 - 890159059159157159389159403159457159617159623159667159671160541
891 - 900160579160619162251162389162493162517162523165287165311165437
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