Prime Twins

Prime numbers that differ from the next prime by 2

Out of the first 100,000 prime numbers, there are 10,250 prime twins. Here are the first 500:

{3, 5}{5, 7}{11, 13}{17, 19}
{29, 31}{41, 43}{59, 61}{71, 73}
{101, 103}{107, 109}{137, 139}{149, 151}
{179, 181}{191, 193}{197, 199}{227, 229}
{239, 241}{269, 271}{281, 283}{311, 313}
{347, 349}{419, 421}{431, 433}{461, 463}
{521, 523}{569, 571}{599, 601}{617, 619}
{641, 643}{659, 661}{809, 811}{821, 823}
{827, 829}{857, 859}{881, 883}{1019, 1021}
{1031, 1033}{1049, 1051}{1061, 1063}{1091, 1093}
{1151, 1153}{1229, 1231}{1277, 1279}{1289, 1291}
{1301, 1303}{1319, 1321}{1427, 1429}{1451, 1453}
{1481, 1483}{1487, 1489}{1607, 1609}{1619, 1621}
{1667, 1669}{1697, 1699}{1721, 1723}{1787, 1789}
{1871, 1873}{1877, 1879}{1931, 1933}{1949, 1951}
{1997, 1999}{2027, 2029}{2081, 2083}{2087, 2089}
{2111, 2113}{2129, 2131}{2141, 2143}{2237, 2239}
{2267, 2269}{2309, 2311}{2339, 2341}{2381, 2383}
{2549, 2551}{2591, 2593}{2657, 2659}{2687, 2689}
{2711, 2713}{2729, 2731}{2789, 2791}{2801, 2803}
{2969, 2971}{2999, 3001}{3119, 3121}{3167, 3169}
{3251, 3253}{3257, 3259}{3299, 3301}{3329, 3331}
{3359, 3361}{3371, 3373}{3389, 3391}{3461, 3463}
{3467, 3469}{3527, 3529}{3539, 3541}{3557, 3559}
{3581, 3583}{3671, 3673}{3767, 3769}{3821, 3823}
{3851, 3853}{3917, 3919}{3929, 3931}{4001, 4003}
{4019, 4021}{4049, 4051}{4091, 4093}{4127, 4129}
{4157, 4159}{4217, 4219}{4229, 4231}{4241, 4243}
{4259, 4261}{4271, 4273}{4337, 4339}{4421, 4423}
{4481, 4483}{4517, 4519}{4547, 4549}{4637, 4639}
{4649, 4651}{4721, 4723}{4787, 4789}{4799, 4801}
{4931, 4933}{4967, 4969}{5009, 5011}{5021, 5023}
{5099, 5101}{5231, 5233}{5279, 5281}{5417, 5419}
{5441, 5443}{5477, 5479}{5501, 5503}{5519, 5521}
{5639, 5641}{5651, 5653}{5657, 5659}{5741, 5743}
{5849, 5851}{5867, 5869}{5879, 5881}{6089, 6091}
{6131, 6133}{6197, 6199}{6269, 6271}{6299, 6301}
{6359, 6361}{6449, 6451}{6551, 6553}{6569, 6571}
{6659, 6661}{6689, 6691}{6701, 6703}{6761, 6763}
{6779, 6781}{6791, 6793}{6827, 6829}{6869, 6871}
{6947, 6949}{6959, 6961}{7127, 7129}{7211, 7213}
{7307, 7309}{7331, 7333}{7349, 7351}{7457, 7459}
{7487, 7489}{7547, 7549}{7559, 7561}{7589, 7591}
{7757, 7759}{7877, 7879}{7949, 7951}{8009, 8011}
{8087, 8089}{8219, 8221}{8231, 8233}{8291, 8293}
{8387, 8389}{8429, 8431}{8537, 8539}{8597, 8599}
{8627, 8629}{8819, 8821}{8837, 8839}{8861, 8863}
{8969, 8971}{8999, 9001}{9011, 9013}{9041, 9043}
{9239, 9241}{9281, 9283}{9341, 9343}{9419, 9421}
{9431, 9433}{9437, 9439}{9461, 9463}{9629, 9631}
{9677, 9679}{9719, 9721}{9767, 9769}{9857, 9859}
{9929, 9931}{10007, 10009}{10037, 10039}{10067, 10069}
{10091, 10093}{10139, 10141}{10271, 10273}{10301, 10303}
{10331, 10333}{10427, 10429}{10457, 10459}{10499, 10501}
{10529, 10531}{10709, 10711}{10859, 10861}{10889, 10891}
{10937, 10939}{11057, 11059}{11069, 11071}{11117, 11119}
{11159, 11161}{11171, 11173}{11351, 11353}{11489, 11491}
{11549, 11551}{11699, 11701}{11717, 11719}{11777, 11779}
{11831, 11833}{11939, 11941}{11969, 11971}{12041, 12043}
{12071, 12073}{12107, 12109}{12161, 12163}{12239, 12241}
{12251, 12253}{12377, 12379}{12539, 12541}{12611, 12613}
{12821, 12823}{12917, 12919}{13001, 13003}{13007, 13009}
{13217, 13219}{13337, 13339}{13397, 13399}{13679, 13681}
{13691, 13693}{13709, 13711}{13721, 13723}{13757, 13759}
{13829, 13831}{13877, 13879}{13901, 13903}{13931, 13933}
{13997, 13999}{14009, 14011}{14081, 14083}{14249, 14251}
{14321, 14323}{14387, 14389}{14447, 14449}{14549, 14551}
{14561, 14563}{14591, 14593}{14627, 14629}{14867, 14869}
{15137, 15139}{15269, 15271}{15287, 15289}{15329, 15331}
{15359, 15361}{15581, 15583}{15641, 15643}{15647, 15649}
{15731, 15733}{15737, 15739}{15887, 15889}{15971, 15973}
{16061, 16063}{16067, 16069}{16139, 16141}{16187, 16189}
{16229, 16231}{16361, 16363}{16451, 16453}{16631, 16633}
{16649, 16651}{16691, 16693}{16829, 16831}{16901, 16903}
{16979, 16981}{17027, 17029}{17189, 17191}{17207, 17209}
{17291, 17293}{17387, 17389}{17417, 17419}{17489, 17491}
{17579, 17581}{17597, 17599}{17657, 17659}{17681, 17683}
{17747, 17749}{17789, 17791}{17837, 17839}{17909, 17911}
{17921, 17923}{17957, 17959}{17987, 17989}{18041, 18043}
{18047, 18049}{18059, 18061}{18119, 18121}{18131, 18133}
{18251, 18253}{18287, 18289}{18311, 18313}{18521, 18523}
{18539, 18541}{18911, 18913}{18917, 18919}{19079, 19081}
{19139, 19141}{19181, 19183}{19211, 19213}{19379, 19381}
{19421, 19423}{19427, 19429}{19469, 19471}{19541, 19543}
{19697, 19699}{19751, 19753}{19841, 19843}{19889, 19891}
{19961, 19963}{19991, 19993}{20021, 20023}{20147, 20149}
{20231, 20233}{20357, 20359}{20441, 20443}{20477, 20479}
{20507, 20509}{20549, 20551}{20639, 20641}{20717, 20719}
{20747, 20749}{20771, 20773}{20807, 20809}{20897, 20899}
{20981, 20983}{21011, 21013}{21017, 21019}{21059, 21061}
{21191, 21193}{21317, 21319}{21377, 21379}{21491, 21493}
{21521, 21523}{21557, 21559}{21587, 21589}{21599, 21601}
{21611, 21613}{21647, 21649}{21737, 21739}{21839, 21841}
{22037, 22039}{22091, 22093}{22109, 22111}{22157, 22159}
{22271, 22273}{22277, 22279}{22367, 22369}{22481, 22483}
{22541, 22543}{22571, 22573}{22619, 22621}{22637, 22639}
{22697, 22699}{22739, 22741}{22859, 22861}{22961, 22963}
{23027, 23029}{23039, 23041}{23057, 23059}{23201, 23203}
{23291, 23293}{23369, 23371}{23537, 23539}{23561, 23563}
{23627, 23629}{23669, 23671}{23687, 23689}{23741, 23743}
{23831, 23833}{23909, 23911}{24107, 24109}{24179, 24181}
{24371, 24373}{24419, 24421}{24917, 24919}{24977, 24979}
{25031, 25033}{25169, 25171}{25301, 25303}{25307, 25309}
{25409, 25411}{25469, 25471}{25577, 25579}{25601, 25603}
{25799, 25801}{25847, 25849}{25931, 25933}{25997, 25999}
{26111, 26113}{26249, 26251}{26261, 26263}{26681, 26683}
{26699, 26701}{26711, 26713}{26729, 26731}{26861, 26863}
{26879, 26881}{26891, 26893}{26951, 26953}{27059, 27061}
{27107, 27109}{27239, 27241}{27281, 27283}{27407, 27409}
{27479, 27481}{27527, 27529}{27539, 27541}{27581, 27583}
{27689, 27691}{27737, 27739}{27749, 27751}{27791, 27793}
{27917, 27919}{27941, 27943}{28097, 28099}{28109, 28111}
{28181, 28183}{28277, 28279}{28307, 28309}{28349, 28351}
{28409, 28411}{28547, 28549}{28571, 28573}{28619, 28621}
{28661, 28663}{28751, 28753}{29021, 29023}{29129, 29131}
{29207, 29209}{29387, 29389}{29399, 29401}{29567, 29569}
{29669, 29671}{29759, 29761}{29879, 29881}{30011, 30013}
{30089, 30091}{30137, 30139}{30269, 30271}{30389, 30391}
{30467, 30469}{30491, 30493}{30557, 30559}{30839, 30841}
{30851, 30853}{30869, 30871}{31079, 31081}{31121, 31123}
{31151, 31153}{31181, 31183}{31247, 31249}{31319, 31321}
{31391, 31393}{31511, 31513}{31541, 31543}{31721, 31723}
{31727, 31729}{31769, 31771}{31847, 31849}{32027, 32029}
{32057, 32059}{32117, 32119}{32141, 32143}{32189, 32191}
{32297, 32299}{32321, 32323}{32369, 32371}{32411, 32413}
Download all 10,250 prime twins
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