素數是指正因數只有1和本身即只能被自身和1整除的正整數，“孿生素數”則是指兩個相差為2的素數，例如3和5，17和19等。
孿生素數猜想正式由希爾伯特在1900年國際數學家大會的報告上第8個問題中提出，可以這樣描述：
存在無窮多個素數p，使得p + 2是素數。
素數對（p, p + 2）稱為孿生素數。
2013年5月14日，《自然》（Nature）雜誌線上報導張益唐證明了“存在無窮多個之差小於7000萬的素數對”。
基本介紹
- 中文名：孿生素數表
- 外文名：Twin prime table
- 適用學科：數學
- 適用範圍：自然數
{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},{32441,32443},{32531,32533},{32561,32563},{32609,32611},{32717,32719},{32801,32803}, {32831,32833},{32909,32911},{32939,32941},{32969,32971},{33071,33073},{33149,33151},{33179,33181}, {33287,33289},{33329,33331},{33347,33349},
{33587,33589},{33599,33601},{33617,33619},{33749,33751},{33767,33769},{33809,33811},{33827,33829}, {34031,34033},{34127,34129},{34157,34159},{34211,34213},{34259,34261},{34301,34303},{34367,34369}, {34469,34471},{34499,34501},{34511,34513},{34589,34591},{34649,34651},{34757,34759},{34841,34843}, {34847,34849},{34961,34963},{35051,35053},{35081,35083},{35279,35281},{35447,35449},{35507,35509}, {35531,35533},{35591,35593},
{35729,35731},{35801,35803},{35837,35839},{35897,35899},{36011,36013},{36107,36109},{36341,36343}, {36467,36469},{36527,36529},{36779,36781},{36791,36793},{36899,36901},{36929,36931},{37019,37021}, {37199,37201},{37307,37309},{37337,37339},{37361,37363},{37547,37549},{37571,37573},{37589,37591}, {37691,37693},{37781,37783},{37811,37813},{37991,37993},
{38237,38239},{38327,38329},{38447,38449},{38459,38461},{38567,38569},{38609,38611},{38651,38653}, {38669,38671},{38711,38713},{38747,38749},{38921,38923},{39041,39043},{39161,39163},{39227,39229}, {39239,39241},{39341,39343},{39371,39373},{39509,39511},{39827,39829},{39839,39841},{40037,40039}, {40127,40129},{40151,40153},
{40427,40429},{40529,40531},{40637,40639},{40697,40699},{40847,40849},{41141,41143},{41177,41179}, {41201,41203},{41231,41233},{41387,41389},{41411,41413},{41519,41521},{41609,41611},{41759,41761}, {41849,41851},{41957,41959},{41981,41983},{42017,42019},{42071,42073},{42179,42181},{42221,42223}, {42281,42283},{42407,42409},{42461,42463},{42569,42571},{42641,42643},{42701,42703},{42839,42841},
{42899,42901},{43049,43051},{43319,43321},{43397,43399},{43541,43543},{43577,43579},{43607,43609}, {43649,43651},{43781,43783},{43787,43789},{43889,43891},{43961,43963},{44027,44029},{44087,44089}, {44129,44131},{44201,44203},{44267,44269},{44279,44281},{44381,44383},{44531,44533},{44621,44623}, {44699,44701},{44771,44773},{45119,45121},{45137,45139},{45179,45181},{45317,45319},{45341,45343},
{45587,45589},{45821,45823},{46049,46051},{46091,46093},{46181,46183},{46271,46273},{46307,46309}, {46349,46351},{46439,46441},{46589,46591},{46679,46681},{46769,46771},{46817,46819},{46829,46831}, {47057,47059},{47147,47149},{47351,47353},{47387,47389},{47417,47419},{47657,47659},{47699,47701}, {47711,47713},{47741,47743},{47777,47779},{47807,47809},
{48119,48121},{48311,48313},{48407,48409},{48479,48481},{48539,48541},{48647,48649},{48677,48679}, {48731,48733},{48779,48781},{48821,48823},{48857,48859},{48869,48871},{48989,48991},{49031,49033},{49121,49123},{49169,49171},{49199,49201},{49277,49279},{49331,49333},{49367,49369},{49391,49393},{49409,49411},{49529,49531},{49547,49549},{49667,49669},{49739,49741},{49787,49789},{49919,49921},{49937,49939},{49991,49993},{50021,50023},{50051,50053},{50129,50131},{50261,50263},{50459,50461},{50549,50551},{50591,50593},
50891,50893},{50969,50971},{51059,51061},{51131,51133},{51197,51199},{51239,51241},{51341,51343},{51347,51349},{51419,51421},{51437,51439},{51479,51481},{51719,51721},{51767,51769},{51827,51829},{51869,51871},{51971,51973},{52067,52069},{52181,52183},{52289,52291},{52361,52363},{52541,52543},{52709,52711},{52859,52861},{52901,52903},{53087,53089},{53147,53149},{53171,53173},{53231,53233},{53267,53269},{53279,53281},
{53549,53551},{53591,53593},{53609,53611},{53717,53719},{53897,53899},{54011,54013},{54401,54403},{54419,54421},{54497,54499},{54539,54541},{54581,54583},{54629,54631},{54917,54919},{55049,55051},{55217,55219},{55331,55333},{55337,55339},{55439,55441},{55619,55621},{55631,55633},{55661,55663},{55817,55819},{55901,55903},{55931,55933},{56039,56041},{56099,56101},
{56207,56209},{56237,56239},{56267,56269},{56477,56479},{56501,56503},{56531,56533},{56597,56599},{56711,56713},{56807,56809},{56891,56893},{56909,56911},{56921,56923},{57191,57193},{57221,57223},{57269,57271},{57329,57331},{57347,57349},{57527,57529},{57557,57559},{57791,57793},{57899,57901},{58109,58111},{58151,58153},{58169,58171},{58229,58231},{58367,58369},{58391,58393},{58439,58441},{58451,58453},{58601,58603},{58787,58789},{58907,58909},{59009,59011},{59021,59023},
{59051,59053},{59207,59209},{59219,59221},{59357,59359},{59417,59419},{59441,59443},{59471,59473},{59627,59629},{59669,59671},{60089,60091},{60101,60103},{60167,60169},{60257,60259},{60647,60649},{60659,60661},{60761,60763},{60887,60889},{60899,60901},{60917,60919},{61151,61153},{61331,61333},{61379,61381},{61469,61471},{61559,61561},
{61979,61981},{62129,62131},{62141,62143},{62189,62191},{62297,62299},{62927,62929},{62969,62971},{62981,62983},{62987,62989},{63029,63031},{63197,63199},{63311,63313},{63389,63391},{63419,63421},{63587,63589},{63599,63601},{63647,63649},{63689,63691},{63839,63841},{64151,64153},{64187,64189},{64301,64303},{64451,64453},{64577,64579},{64661,64663},{64781,64783},{64877,64879},{64919,64921},
{65027,65029},{65099,65101},{65171,65173},{65267,65269},{65447,65449},{65519,65521},{65537,65539},{65579,65581},{65699,65701},{65717,65719},{65729,65731},{65837,65839},{65927,65929},{65981,65983},{66107,66109},{66359,66361},{66569,66571},{66749,66751},{66851,66853},{66947,66949},{67139,67141},{67187,67189},{67211,67213},{67217,67219},{67271,67273},{67409,67411},{67427,67429},{67577,67579},{67757,67759},{67931,67933},{68111,68113},
{68207,68209},{68279,68281},{68447,68449},{68489,68491},{68711,68713},{68819,68821},{68879,68881},{68897,68899},{69029,69031},{69149,69151},{69191,69193},{69257,69259},{69401,69403},{69491,69493},{69497,69499},{69737,69739},{69761,69763},{69827,69829},{69857,69859},{69929,69931},{70001,70003},{70121,70123},{70139,70141},{70181,70183},{70199,70201},{70379,70381},{70457,70459},{70487,70489},{70571,70573},{70619,70621},{70841,70843},{70877,70879},{70919,70921},{70949,70951},{70979,70981},{70997,70999},{71261,71263},
{71327,71329},{71339,71341},{71387,71389},{71411,71413},{71471,71473},{71549,71551},{71711,71713},{71807,71809},{71879,71881},{72089,72091},{72101,72103},{72167,72169},{72221,72223},{72227,72229},{72251,72253},{72269,72271},{72467,72469},{72647,72649},{72671,72673},{72869,72871},{73037,73039},{73061,73063},{73361,73363},{73607,73609},{73679,73681},{73847,73849},{74099,74101},{74159,74161},{74201,74203},{74381,74383},{74411,74413},{74507,74509},
{74609,74611},{74717,74719},{74729,74731},{74759,74761},{75011,75013},{75167,75169},{75209,75211},{75389,75391},{75401,75403},{75539,75541},{75617,75619},{75707,75709},{75989,75991},{76001,76003},{76079,76081},{76157,76159},{76259,76261},{76367,76369},{76421,76423},{76541,76543},{76649,76651},{76829,76831},{76871,76873},{76961,76963},{77237,77239},{77261,77263},{77267,77269},{77417,77419},{77477,77479},{77489,77491},{77549,77551},{77687,77689},{77711,77713},
{78137,78139},{78191,78193},{78437,78439},{78509,78511},{78539,78541},{78569,78571},{78779,78781},{78887,78889},{78977,78979},{79151,79153},{79229,79231},{79397,79399},{79559,79561},{79631,79633},{79691,79693},{79697,79699},{79811,79813},{79841,79843},{79901,79903},{79997,79999},{80147,80149},{80207,80209},{80231,80233},{80447,80449},{80471,80473},{80489,80491},{80627,80629},{80669,80671},{80681,80683},{80747,80749},{80777,80779},{80831,80833},{80909,80911},{81017,81019},{81041,81043},{81047,81049},{81197,81199},
81281,81283},{81371,81373},{81551,81553},{81647,81649},{81701,81703},{81899,81901},{81929,81931},{81971,81973},{82007,82009},{82037,82039},{82139,82141},{82217,82219},{82349,82351},{82469,82471},{82529,82531},{82559,82561},{82721,82723},{82727,82729},{82757,82759},{82811,82813},{82889,82891},{83219,83221},{83231,83233},{83267,83269},{83339,83341},{83399,83401},{83561,83563},{83639,83641},{83717,83719},{84059,84061},{84179,84181},{84221,84223},{84317,84319},{84347,84349},{84389,84391},{84521,84523},{84629,84631},
{84809,84811},{84857,84859},{84869,84871},{84977,84979},{85091,85093},{85199,85201},{85331,85333},{85361,85363},{85427,85429},{85451,85453},{85619,85621},{85667,85669},{85817,85819},{85829,85831},{85931,85933},{86027,86029},{86111,86113},{86291,86293},{86351,86353},{86369,86371},{86531,86533},{86627,86629},{86927,86929},{87011,87013},{87119,87121},{87149,87151},{87179,87181},{87221,87223},{87251,87253},{87509,87511},{87539,87541},{87557,87559},{87587,87589},{87629,87631},{87641,87643},{87719,87721},{87959,87961},{88001,88003},{88259,88261},{88337,88339},{88469,88471},{88589,88591},{88607,88609},{88661,88663},{88799,88801},{88811,88813},{88817,88819},{89069,89071},{89519,89521},{89561,89563},{89597,89599},{89657,89659},{89669,89671},{89819,89821},{89897,89899},{90017,90019},{90071,90073},{90197,90199},{90371,90373},{90401,90403},{90437,90439},{90527,90529},{90617,90619},{90677,90679},{90821,90823},{91079,91081},{91097,91099},{91127,91129},{91139,91141},{91151,91153},{91367,91369},{91457,91459},{91571,91573},
91811 91813，91967 91969，92177 92179，92219 92221，92381 92383，92459 92461，92399 92401，92567 92569，92639 92641，92669 92671，92681 92683，92789 92791，92861 92863，92957 92959，93131 93133，93239 93241，93251 93253，93281 93283，93479 93481，93491 93493，93557 93559，93701 93703，93761 93763，93809 93811，93887 93889，93911 93913，94007 94009，94109 94111，94151 94153，94307 94309，94349 94351，94397 94399，94439 94441，94529 94531，94541 94543，94559 94561，94649 94651，94847 94849，94949 94951，95087 95089，95189 95191，95231 95233，9544195443，
95789 95791，95801 95803，95957 05959，95987 95989，96179 96181，96221 96223，96329 96331，96587 96589，96737 96739，96797 96799，96821 96823，97001 97003，97157 97159，97169 97171，97301 97303，97367 97369，97379 97381，97499 97501，97547 97549，97577 97579，97607 97609，97649 97651，97787 97789，97841 97843，97847 97849，97859 97861，98009 98011，98297 98299，98321 98323，98387 98389，98561 98563，98639 98641，98711 98713，98729 98731，98807 98809，98867 98869，98897 98899，98909 98911，98927 98929，99131 99133，99137 99139，
99257 99259，99347 99349，99527 99529，99707 99709，99719 99721，99989 99991，100151 100153，100361 100363，100391 100393，100517 100519，100547 100549，100799 100801， 101111 101113，101117 101119，101159 101161，101207 101209，101279 101281，101501 101503，101531 101533，101747 101749，101837 101839，101999 102001，102059 102061，102077 102079，102101 102103，102197 102199，102251 102253，102299 102301，102407 102409，102497 102499，102677 102679，102761 102763，102911 102913，102929 102931，
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