# Twin Primes

New! See the expanded and extended list: twin-primes.txt

The three pairs of twin primes "greater than" and "less than" a power of 2 are given. For example, the six pairs of twin primes which surround 2^4=16 are {16-12 +/- 1}, {16-10 +/- 1}, {16-4 +/- 1}, {16+2 +/- 1}, {16+14 +/- 1}, {16+26 +/- 1} (that is, {3,5}, {5,7}, {11,13}, {17,19}, {29,31}, {41,43}).

```2^4 [-12,-10,-4,2,14,26]
2^5 [-20,-14,-2,10,28,40]
2^6 [-34,-22,-4,8,38,44]
2^7 [-56,-26,-20,10,22,52]
2^8 [-58,-28,-16,14,26,56]
2^9 [-92,-80,-50,10,58,88]
2^10 [-166,-142,-4,8,26,38]
2^11 [-98,-50,-20,34,40,64]
2^12 [-76,-46,-4,32,62,122]
2^13 [-242,-182,-104,28,40,100]
2^14 [-196,-154,-22,68,248,266]
2^15 [-206,-158,-50,34,64,142]
2^16 [-268,-88,-16,2,44,164]
2^17 [-422,-230,-62,40,178,376]
2^18 [-172,-94,-34,8,206,368]
2^19 [-620,-86,-68,64,100,124]
2^20 [-448,-358,-4,314,554,566]
2^21 [-242,-194,-20,106,136,298]
2^22 [-1054,-754,-502,278,296,374]
2^23 [-800,-650,-158,10,154,454]
2^24 [-316,-244,-76,74,116,464]
2^25 [-662,-464,-422,70,148,208]
2^26 [-826,-664,-196,458,1286,1604]
2^27 [-680,-326,-290,52,202,310]
2^28 [-676,-478,-448,122,632,806]
2^29 [-1082,-350,-74,106,178,808]
2^30 [-1042,-514,-106,8,146,848]
2^31 [-986,-830,-698,220,394,574]
2^32 [-2398,-1624,-1456,92,266,722]
2^33 [-620,-452,-302,298,988,1318]
2^34 [-832,-502,-376,248,1004,1076]
2^35 [-1910,-1190,-1070,322,334,490]
2^36 [-1384,-1006,-346,116,176,764]
2^37 [-1712,-1664,-200,568,976,1036]
2^38 [-2296,-1792,-316,1328,1748,2156]
2^39 [-746,-740,-530,412,562,1030]
2^40 [-1726,-1468,-1378,554,626,794]
2^41 [-1964,-1250,-74,988,1216,1786]
2^42 [-3256,-3142,-1366,326,1298,1448]
2^43 [-1916,-1430,-800,184,1690,1702]
2^44 [-4654,-2704,-118,2066,2864,3584]
2^45 [-1334,-752,-512,2566,2836,3508]
2^46 [-3232,-2434,-886,416,728,1184]
2^47 [-2540,-1820,-1628,880,1870,2164]
2^48 [-1048,-568,-526,242,764,4034]
2^49 [-2912,-2102,-1994,460,646,808]
2^50 [-2692,-2032,-652,644,1244,3158]
2^51 [-3638,-2930,-788,1210,1390,2062]
2^52 [-5128,-3574,-634,392,1046,2534]
2^53 [-4424,-3194,-2450,1156,1546,3706]
2^54 [-1426,-1342,-256,1478,2144,3464]
2^55 [-1586,-1316,-170,1450,2242,3130]
2^56 [-4678,-3448,-2128,176,962,1652]
2^57 [-6074,-3650,-1604,130,598,3538]
2^58 [-3232,-2044,-1966,1046,2234,4646]
2^59 [-2366,-1526,-1058,1042,1714,1954]
2^60 [-4066,-3244,-1504,2732,2876,3272]
2^61 [-2384,-2372,-1922,1918,3298,3430]
2^62 [-5884,-3256,-1702,188,386,1946]
2^63 [-6746,-4238,-1298,1534,4432,5800]
2^64 [-1024,-898,-844,806,2534,6986]
2^65 [-2834,-2444,-674,988,1456,1888]
2^66 [-3994,-1186,-796,986,3308,6728]
2^67 [-8846,-8318,-6830,154,1900,3502]
2^68 [-4354,-3886,-148,1466,3134,5516]
2^69 [-3674,-2252,-92,916,1180,1360]
2^70 [-12682,-7774,-2566,2516,2936,4016]
2^71 [-8318,-4988,-830,790,3064,3514]
2^72 [-2818,-2428,-844,1934,2636,3062]
2^73 [-15710,-10562,-4262,1888,3220,4648]
2^74 [-3052,-2002,-1054,518,1046,8534]
2^75 [-11138,-7418,-2888,592,2284,5470]
2^76 [-12046,-7144,-3856,2222,2276,2306]
2^77 [-11942,-5240,-1820,70,4360,11026]
2^78 [-3772,-1354,-1114,116,4958,8396]
2^79 [-6890,-4808,-4568,1174,3202,3622]
2^80 [-6616,-5224,-1288,1676,8672,11942]
2^81 [-10652,-6782,-3560,226,6820,7648]
2^82 [-3772,-3484,-364,44,2486,4016]
2^83 [-9638,-9536,-2690,1774,7390,7720]
2^84 [-7738,-7636,-214,2852,4052,6236]
2^85 [-23300,-20120,-4820,8458,9208,10678]
2^86 [-8554,-5644,-2524,656,4094,6236]
2^87 [-2528,-2498,-746,4252,6292,6670]
2^88 [-5968,-3736,-2764,2354,3614,5084]
2^89 [-22442,-17942,-5642,1846,2080,2968]
2^90 [-9586,-9244,-2362,10748,11084,13226]
2^91 [-7688,-7328,-956,3424,7240,7990]
2^92 [-13594,-10138,-1948,5246,9542,12776]
2^93 [-3842,-1994,-752,2788,4210,7540]
2^94 [-8194,-7342,-3166,908,1766,4028]
2^95 [-8726,-3590,-998,2050,7462,10774]
2^96 [-13018,-7186,-3394,3362,4034,5972]
2^97 [-12242,-10094,-2342,3838,7366,17158]
2^98 [-5704,-592,-526,3926,5018,12806]
2^99 [-9350,-8846,-1436,4204,6190,22462]
2^100 [-5446,-4324,-2974,5636,8834,10262]
2^101 [-12854,-3770,-1880,2290,3160,19888]
2^102 [-7246,-6634,-3532,8774,8864,13304]
2^103 [-14720,-9158,-2228,3670,5374,7222]
2^104 [-4108,-4006,-1576,3104,3416,20216]
2^105 [-28220,-27710,-18800,1390,5476,7186]
2^106 [-16006,-5824,-1612,3524,16994,20834]
2^107 [-16556,-4118,-3998,4732,8350,9730]
2^108 [-6724,-5974,-694,7802,8192,9122]
2^109 [-17612,-8330,-944,10948,12448,17176]
2^110 [-2932,-2524,-532,10916,23456,30464]
2^111 [-12458,-10490,-3548,220,634,8122]
2^112 [-19768,-2014,-1108,4994,11042,11546]
2^113 [-35060,-21830,-13574,24436,35416,35608]
2^114 [-8776,-3034,-2794,968,2978,46778]
2^115 [-9938,-7298,-5948,4282,6562,15844]
2^116 [-28534,-18328,-4516,1274,3662,12974]
2^117 [-9890,-8492,-5720,2860,7930,12898]
2^118 [-18844,-13624,-1624,4856,7556,8438]
2^119 [-3980,-3656,-800,1774,3004,11632]
2^120 [-14584,-9136,-5608,1856,2636,12854]
2^121 [-25352,-13034,-8642,3778,5140,12376]
2^122 [-10504,-9052,-4666,428,4646,7724]
2^123 [-40988,-38156,-24860,14230,16972,37012]
2^124 [-8866,-5026,-4804,992,7934,10442]
2^125 [-33410,-29072,-23750,9688,22540,23338]
2^126 [-20224,-7984,-7636,3188,6026,13094]
2^127 [-24128,-18410,-16490,994,8020,8164]
2^128 [-15208,-5506,-1408,2432,3302,25796]
```