[原创]k生素数群的数量公式

白新岭 · 发表于 2019-8-3 19:53

到10的90次方预计有8组最密50生素数，所以除了上一组实例，再找到一组很难。
不知那位大侠能找到一组最密50生素数。

白新岭 · 发表于 2019-8-4 16:23

LOG10(范围) 下边为k值 LOG10(系数) 对数比值
10的次幂 50 2.66144713816470E+01 百分比
8.90000000000000E+01 -115.5802848 3.41866144282363E-02 0.0384119263239%
9.00000000000000E+01 -115.8229099 7.91561474707635E-01 0.8795127496752%
9.10000000000000E+01 -116.0628541 1.55161733061918E+00 1.7050739896914%
9.20000000000000E+01 -116.3001758 2.31429557939610E+00 2.5155386732566%
9.30000000000000E+01 -116.5349319 3.07953951897711E+00 3.3113328161044%
9.40000000000000E+01 -116.7671771 3.84729426668893E+00 4.0928662411584%
9.50000000000000E+01 -116.9969647 4.61750668223148E+00 4.8605333497174%
9.60000000000000E+01 -117.2243461 5.39012529469545E+00 5.6147138486411%
9.70000000000000E+01 -117.4493711 6.16510023336164E+00 6.3557734364553%
9.80000000000000E+01 -117.6720882 6.94238316204913E+00 7.0840644510705%
9.90000000000000E+01 -117.8925442 7.72192721679637E+00 7.7999264816125%
1.00000000000000E+02 -118.1107844 8.50368694667388E+00 8.5036869466739%
1.01000000000000E+02 -118.3268531 9.28761825754174E+00 9.1956616411304%
1.02000000000000E+02 -118.540793 1.00736783585780E+01 9.8761552535079%
1.03000000000000E+02 -118.7526457 1.08618257114152E+01 10.5454618557430%
1.04000000000000E+02 -118.9624514 1.16520199817349E+01 11.2038653670528%
1.05000000000000E+02 -119.1702494 1.24442219931770E+01 11.8516399935019%
1.06000000000000E+02 -119.3760777 1.32383936834354E+01 12.4890506447503%
1.07000000000000E+02 -119.5799733 1.40344980624134E+01 13.1163533293583%
1.08000000000000E+02 -119.7819722 1.48324991723264E+01 13.7337955299318%
1.09000000000000E+02 -119.9821093 1.56323620496427E+01 14.3416165593052%
1.10000000000000E+02 -120.1804187 1.64340526887626E+01 14.9400478988751%
1.11000000000000E+02 -120.3769334 1.72375380073410E+01 15.5293135201270%
1.12000000000000E+02 -120.5716856 1.80427858131648E+01 16.1096301903257%
1.13000000000000E+02 -120.7647066 1.88497647725029E+01 16.6812077632769%
1.14000000000000E+02 -120.956027 1.96584443798502E+01 17.2442494560090%
1.15000000000000E+02 -121.1456765 2.04687949289933E+01 17.7989521121681%
1.16000000000000E+02 -121.3336839 2.12807874853279E+01 18.3455064528689%
1.17000000000000E+02 -121.5200775 2.20943938593658E+01 18.8840973156973%
1.18000000000000E+02 -121.7048848 2.29095865813676E+01 19.4149038825149%
1.19000000000000E+02 -121.8881325 2.37263388770473E+01 19.9380998966784%
1.20000000000000E+02 -122.0698467 2.45446246442926E+01 20.4538538702439%
1.21000000000000E+02 -122.250053 2.53644184308514E+01 20.9623292816953%
1.22000000000000E+02 -122.428776 2.61856954129365E+01 21.4636847647020%
1.23000000000000E+02 -122.60604 2.70084313747040E+01 21.9580742883772%
1.24000000000000E+02 -122.7818687 2.78326026885621E+01 22.4456473294856%
1.25000000000000E+02 -122.9562851 2.86581862962711E+01 22.9265490370169%
1.26000000000000E+02 -123.1293117 2.94851596907957E+01 23.4009203895204%
1.27000000000000E+02 -123.3009705 3.03135008988760E+01 23.8688983455717%
1.28000000000000E+02 -123.4712829 3.11431884642805E+01 24.3306159877191%
1.29000000000000E+02 -123.6402699 3.19742014317114E+01 24.7862026602414%
1.30000000000000E+02 -123.8079521 3.28065193313320E+01 25.2357841010246%
1.31000000000000E+02 -123.9743492 3.36401221638856E+01 25.6794825678516%
1.32000000000000E+02 -124.139481 3.44749903863814E+01 26.1174169593798%
1.33000000000000E+02 -124.3033665 3.53111048983196E+01 26.5497029310674%
1.34000000000000E+02 -124.4660244 3.61484470284335E+01 26.9764530062937%
1.35000000000000E+02 -124.6274729 3.69869985219236E+01 27.3977766829063%
1.36000000000000E+02 -124.7877299 3.78267415281630E+01 27.8137805354140%
1.37000000000000E+02 -124.9468128 3.86676585888535E+01 28.2245683130318%
1.38000000000000E+02 -125.1047388 3.95097326266120E+01 28.6302410337768%
1.39000000000000E+02 -125.2615244 4.03529469339691E+01 29.0308970747979%
1.40000000000000E+02 -125.4171862 4.11972851627620E+01 29.4266322591157%
1.41000000000000E+02 -125.5717401 4.20427313139049E+01 29.8175399389396%
1.42000000000000E+02 -125.7252017 4.28892697275210E+01 30.2037110757190%
1.43000000000000E+02 -125.8775863 4.37368850734208E+01 30.5852343170775%
1.44000000000000E+02 -126.028909 4.45855623419114E+01 30.9621960707718%
1.45000000000000E+02 -126.1791845 4.54352868349251E+01 31.3346805758104%
1.46000000000000E+02 -126.3284272 4.62860441574520E+01 31.7027699708576%
1.47000000000000E+02 -126.4766512 4.71378202092651E+01 32.0665443600443%
1.48000000000000E+02 -126.6238702 4.79906011769260E+01 32.4260818763014%
1.49000000000000E+02 -126.7700979 4.88443735260602E+01 32.7814587423223%
1.50000000000000E+02 -126.9153474 4.96991239938898E+01 33.1327493292599%
1.51000000000000E+02 -127.0596318 5.05548395820154E+01 33.4800262132552%
1.52000000000000E+02 -127.2029638 5.14115075494352E+01 33.8233602298916%
1.53000000000000E+02 -127.345356 5.22691154057939E+01 34.1628205266627%
1.54000000000000E+02 -127.4868205 5.31276509048507E+01 34.4984746135394%
1.55000000000000E+02 -127.6273693 5.39871020381593E+01 34.8303884117157%
1.56000000000000E+02 -127.7670144 5.48474570289508E+01 35.1586263006095%
1.57000000000000E+02 -127.9057671 5.57087043262122E+01 35.4832511631925%
1.58000000000000E+02 -128.0436388 5.65708325989527E+01 35.8043244297169%
1.59000000000000E+02 -128.1806407 5.74338307306513E+01 36.1219061199065%
1.60000000000000E+02 -128.3167836 5.82976878138776E+01 36.4360548836735%
1.61000000000000E+02 -128.4520782 5.91623931450814E+01 36.7468280404232%
1.62000000000000E+02 -128.5865352 6.00279362195423E+01 37.0542816170014%
1.63000000000000E+02 -128.7201647 6.08943067264760E+01 37.3584703843411%
1.64000000000000E+02 -128.8529768 6.17614945442890E+01 37.6594478928591%
1.65000000000000E+02 -128.9849816 6.26294897359786E+01 37.9572665066537%
1.66000000000000E+02 -129.1161888 6.34982825446711E+01 38.2519774365489%
1.67000000000000E+02 -129.246608 6.43678633892947E+01 38.5436307720328%
1.68000000000000E+02 -129.3762485 6.52382228603807E+01 38.8322755121314%
1.69000000000000E+02 -129.5051197 6.61093517159902E+01 39.1179595952605%
1.70000000000000E+02 -129.6332305 6.69812408777602E+01 39.4007299280942%
1.71000000000000E+02 -129.76059 6.78538814270662E+01 39.6806324134890%
1.72000000000000E+02 -129.8872068 6.87272646012964E+01 39.9577119774979%
1.73000000000000E+02 -130.0130896 6.96013817902341E+01 40.2320125955110%
1.74000000000000E+02 -130.1382468 7.04762245325439E+01 40.5035773175540%
1.75000000000000E+02 -130.2626869 7.13517845123592E+01 40.7724482927767%
1.76000000000000E+02 -130.3864178 7.22280535559664E+01 41.0386667931627%
1.77000000000000E+02 -130.5094478 7.31050236285835E+01 41.3022732364879%
1.78000000000000E+02 -130.6317846 7.39826868312292E+01 41.5633072085557%
1.79000000000000E+02 -130.753436 7.48610353976792E+01 41.8218074847370%
1.80000000000000E+02 -130.8744097 7.57400616915086E+01 42.0778120508381%
1.81000000000000E+02 -130.9947132 7.66197582032146E+01 42.3313581233230%
1.82000000000000E+02 -131.1143538 7.75001175474201E+01 42.5824821689122%
1.83000000000000E+02 -131.2333389 7.83811324601524E+01 42.8312199235805%
1.84000000000000E+02 -131.3516756 7.92627957961971E+01 43.0776064109767%
1.85000000000000E+02 -131.4693709 8.01451005265232E+01 43.3216759602828%
1.86000000000000E+02 -131.5864316 8.10280397357781E+01 43.5634622235366%
1.87000000000000E+02 -131.7028648 8.19116066198489E+01 43.8029981924326%
1.88000000000000E+02 -131.8186769 8.27957944834899E+01 44.0403162146223%
1.89000000000000E+02 -131.9338746 8.36805967380117E+01 44.2754480095300%
1.90000000000000E+02 -132.0484645 8.45660068990324E+01 44.5084246837013%
1.91000000000000E+02 -132.1624528 8.54520185842875E+01 44.7392767457003%
1.92000000000000E+02 -132.2758459 8.63386255114964E+01 44.9680341205710%
1.93000000000000E+02 -132.3886499 8.72258214962852E+01 45.1947261638783%
1.94000000000000E+02 -132.5008709 8.81136004501626E+01 45.4193816753415%
1.95000000000000E+02 -132.612515 8.90019563785480E+01 45.6420289120759%
1.96000000000000E+02 -132.723588 8.98908833788501E+01 45.8626956014541%
1.97000000000000E+02 -132.8340957 9.07803756385942E+01 46.0814089536011%
1.98000000000000E+02 -132.9440439 9.16704274335973E+01 46.2981956735340%
1.99000000000000E+02 -133.0534383 9.25610331261885E+01 46.5130819729591%
2.00000000000000E+02 -133.1622842 9.34521871634748E+01 46.7260935817374%
2.01000000000000E+02 -133.2705873 9.43438840756494E+01 46.9372557590296%
2.02000000000000E+02 -133.3783529 9.52361184743427E+01 47.1465933041300%
2.03000000000000E+02 -133.4855863 9.61288850510132E+01 47.3541305670016%
2.04000000000000E+02 -133.5922928 9.70221785753789E+01 47.5598914585191%
2.05000000000000E+02 -133.6984775 9.79159938938862E+01 47.7638994604323%
2.06000000000000E+02 -133.8041455 9.88103259282162E+01 47.9661776350564%
2.07000000000000E+02 -133.9093017 9.97051696738280E+01 48.1667486346995%
2.08000000000000E+02 -134.0139512 1.00600520198536E+02 48.3656347108345%
2.09000000000000E+02 -134.1180987 1.01496372641121E+02 48.5628577230245%
2.10000000000000E+02 -134.2217492 1.02392722209978E+02 48.7584391476085%
2.11000000000000E+02 -134.3249072 1.03289564181789E+02 48.9524000861560%
2.12000000000000E+02 -134.4275775 1.04186893900236E+02 49.1447612736964%
2.13000000000000E+02 -134.5297646 1.05084706774737E+02 49.3355430867310%
2.14000000000000E+02 -134.6314731 1.05982998279214E+02 49.5247655510347%
2.15000000000000E+02 -134.7327074 1.06881763950894E+02 49.7124483492528%
2.16000000000000E+02 -134.833472 1.07780999389127E+02 49.8986108282997%
2.17000000000000E+02 -134.9337711 1.08680700254247E+02 50.0832720065656%
2.18000000000000E+02 -135.0336091 1.09580862266444E+02 50.2664505809374%
2.19000000000000E+02 -135.1329902 1.10481481204668E+02 50.4481649336383%
2.20000000000000E+02 -135.2319185 1.11382552905564E+02 50.6284331388925%
2.21000000000000E+02 -135.3303981 1.12284073262418E+02 50.8072729694201%
2.22000000000000E+02 -135.4284332 1.13186038224142E+02 50.9847019027666%
2.23000000000000E+02 -135.5260276 1.14088443794266E+02 51.1607371274735%
2.24000000000000E+02 -135.6231854 1.14991286029966E+02 51.3353955490919%
2.25000000000000E+02 -135.7199103 1.15894561041106E+02 51.5086937960470%
2.26000000000000E+02 -135.8162064 1.16798264989304E+02 51.6806482253557%
2.27000000000000E+02 -135.9120773 1.17702394087018E+02 51.8512749282016%
2.28000000000000E+02 -136.0075268 1.18606944596651E+02 52.0205897353733%
2.29000000000000E+02 -136.1025586 1.19511912829679E+02 52.1886082225675%
2.30000000000000E+02 -136.1971762 1.20417295145794E+02 52.3553457155627%
2.31000000000000E+02 -136.2913834 1.21323087952067E+02 52.5208172952670%
2.32000000000000E+02 -136.3851837 1.22229287702129E+02 52.6850378026418%
2.33000000000000E+02 -136.4785805 1.23135890895373E+02 52.8480218435077%
2.34000000000000E+02 -136.5715773 1.24042894076167E+02 53.0097837932336%
2.35000000000000E+02 -136.6641775 1.24950293833087E+02 53.1703378013136%
2.36000000000000E+02 -136.7563846 1.25858086798169E+02 53.3296977958341%
2.37000000000000E+02 -136.8482017 1.26766269646169E+02 53.4878774878349%
2.38000000000000E+02 -136.9396323 1.27674839093848E+02 53.6448903755665%
2.39000000000000E+02 -137.0306795 1.28583791899267E+02 53.8007497486473%
2.40000000000000E+02 -137.1213465 1.29493124861094E+02 53.9554686921223%
2.41000000000000E+02 -137.2116366 1.30402834817930E+02 54.1090600904276%
2.42000000000000E+02 -137.3015527 1.31312918647652E+02 54.2615366312613%
2.43000000000000E+02 -137.3910981 1.32223373266758E+02 54.4129108093655%
2.44000000000000E+02 -137.4802758 1.33134195629737E+02 54.5631949302202%
2.45000000000000E+02 -137.5690887 1.34045382728447E+02 54.7124011136519%
2.46000000000000E+02 -137.6575398 1.34956931591505E+02 54.8605412973597%
2.47000000000000E+02 -137.7456321 1.35868839283691E+02 55.0076272403606%
2.48000000000000E+02 -137.8333685 1.36781102905363E+02 55.1536705263561%
2.49000000000000E+02 -137.9207518 1.37693719591887E+02 55.2986825670229%
2.50000000000000E+02 -138.0077849 1.38606686513072E+02 55.4426746052288%
2.51000000000000E+02 -138.0944705 1.39520000872622E+02 55.5856577181761%
2.52000000000000E+02 -138.1808115 1.40433659907597E+02 55.7276428204749%
2.53000000000000E+02 -138.2668105 1.41347660887883E+02 55.8686406671474%
2.54000000000000E+02 -138.3524703 1.42262001115677E+02 56.0086618565657%
2.55000000000000E+02 -138.4377935 1.43176677924976E+02 56.1477168333240%
2.56000000000000E+02 -138.5227827 1.44091688681081E+02 56.2858158910474%
5.12000000000000E+02 -153.5742825 3.85040188897882E+02 75.2031618941176%
1.02400000000000E+03 -168.6257823 8.81988689114683E+02 86.1317079213558%
2.04800000000000E+03 -183.6772821 1.89093718933148E+03 92.3309174478264%
4.09600000000000E+03 -198.7287818 3.92388568954828E+03 95.7979904674874%
8.19200000000000E+03 -213.7802816 8.00483418976509E+03 97.7152611055308%
1.63840000000000E+04 -228.8317814 1.61817826899819E+04 98.7657634886590%
3.27680000000000E+04 -243.8832812 3.25507311901987E+04 99.3369482122763%
6.55360000000000E+04 -258.934781 6.53036796904155E+04 99.6455073401115%
1.31072000000000E+05 -273.9862807 1.30824628190632E+05 99.8112702870425%
2.62144000000000E+05 -289.0377805 2.61881576690849E+05 99.8998934520146%
5.24288000000000E+05 -304.0892803 5.24010525191066E+05 99.9470758802540%
1.04857600000000E+06 -319.1407801 1.04828347369128E+06 99.9721025172503%
2.09715200000000E+06 -334.1922799 2.09684442219150E+06 99.9853335471868%
4.19430400000000E+06 -349.2437797 4.19398137069172E+06 99.9923079178742%
8.38860800000000E+06 -364.2952794 8.38827031919193E+06 99.9959745310775%
1.67772160000000E+07 -379.3467792 1.67768632676922E+07 99.9978975516090%
3.35544320000000E+07 -394.398279 3.35540642161924E+07 99.9989039188396%
6.71088640000000E+07 -409.4497788 6.71084811646926E+07 99.9994295309373%
1.34217728000000E+08 -424.5012786 1.34217330113193E+08 99.9997035512274%
2.68435456000000E+08 -439.5527784 2.68435043061693E+08 99.9998461684931%
5.36870912000000E+08 -454.6042781 5.36870484010193E+08 99.9999202806863%
1.07374182400000E+09 -469.6557779 1.07374138095869E+09 99.9999587385630%
2.14748364800000E+09 -484.7072777 2.14748318990719E+09 99.9999786683914%
4.29496729600000E+09 -499.7587775 4.29496682285569E+09 99.9999889837507%
8.58993459200000E+09 -514.8102773 8.58993410380419E+09 99.9999943166528%
1.71798691840000E+10 -529.8617771 1.71798686807527E+10 99.9999970707152%
3.43597383680000E+10 -544.9132768 3.43597378497012E+10 99.9999984915519%
6.87194767360000E+10 -559.9647766 6.87194762026497E+10 99.9999992238732%
1.37438953472000E+11 -575.0162764 1.37438952923598E+11 99.9999996009852%
2.74877906944000E+11 -590.0677762 2.74877906380547E+11 99.9999997950169%
5.49755813888000E+11 -605.119276 5.49755813309495E+11 99.9999998947706%
1.09951162777600E+12 -620.1707758 1.09951162718244E+12 99.9999999460164%
2.19902325555200E+12 -635.2222755 2.19902325494339E+12 99.9999999723237%
4.39804651110400E+12 -650.2737753 4.39804651048034E+12 99.9999999858196%
8.79609302220800E+12 -665.3252751 8.79609302156929E+12 99.9999999927387%

白新岭 · 发表于 2019-8-4 17:06

解释上一楼数据，第一列是范围值，只不过是10的次幂数，也就是10的对应行第一列数字的次幂数，开始一个为10的89次方，第二列是一个过程数（具体含义为ln（N）^k取以10为底的对数），第三列是以10为底的对数表示k生素数的数量（可以直接表示，但是计算机的允许范围为10的308次方，数据大于此值后显示错误值#NUM!，为了显示更大数据，这里没有还原，是用的以10为底的对数值，来表示最密50生素数的），第四列是比较范围值和最密50生素数的数量的比值，不是直接比较的，而是取以10为底的对数比较的。
可以明显看到，向100%靠近的很快，到10的4.194304*10^6时，就已达到99.99%，这个比值还会无限制的向1靠近。
所以任何最密k生素数的数量都会达到自然数的增长速度，也就是说，范围越大，拉下的速度越慢，甚至接近0，这是一个非常难理解的问题。

白新岭 · 发表于 2019-8-4 17:07

解释上一楼数据，第一列是范围值，只不过是10的次幂数，也就是10的对应行第一列数字的次幂数，开始一个为10的89次方，第二列是一个过程数（具体含义为ln（N）^k取以10为底的对数），第三列是以10为底的对数表示k生素数的数量（可以直接表示，但是计算机的允许范围为10的308次方，数据大于此值后显示错误值#NUM!，为了显示更大数据，这里没有还原，是用的以10为底的对数值，来表示最密50生素数的），第四列是比较范围值和最密50生素数的数量的比值，不是直接比较的，而是取以10为底的对数比较的。
可以明显看到，向100%靠近的很快，到10的4.194304*10^6时，就已达到99.99%，这个比值还会无限制的向1靠近。
所以任何最密k生素数的数量都会达到自然数的增长速度，也就是说，范围越大，拉下的速度越慢，甚至接近0，这是一个非常难理解的问题。

白新岭 · 发表于 2019-8-4 17:26

一句话，除了后边的比值以外，其它的都是以10为底的对数值表示的，无论是范围，还是最密k生素数的数量，就连过程量也是用以10为底的对数表示的。

白新岭 · 发表于 2019-8-4 18:10

最密51生素数式在素数式至23中有28组，其中6组最密51生素数式没有通过关卡素数29的检验。

白新岭 · 发表于 2019-8-4 18:10

最密51生素数式在素数式至23中有28组，其中6组最密51生素数式没有通过关卡素数29的检验。

白新岭 · 发表于 2019-8-4 18:12

最密51生素数最密51生素数
29 31
31 37
37 41
41 43
43 47
47 53
53 59
59 61
61 67
67 71
71 73
73 79
79 83
83 89
89 97
97 101
101 103
103 107
107 109
109 113
113 127
127 131
131 137
137 139
139 149
149 151
151 157
157 163
163 167
167 173
173 179
179 181
181 191
191 193
193 197
197 199
199 211
211 223
223 227
227 229
229 233
233 239
239 241
241 251
251 257
257 263
263 269
269 271
271 277
277 281
281 283
这是两组不同的最密51生素数，在现在的技术条件下，找到另外的恐怕很难，甚至无人可以找到。

白新岭 · 发表于 2019-8-4 18:17

素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51
0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 6 6 2 6 4 4 2 4 6 2 2 2 6
6 4 4 4 4 6 2 6 2 4 4 4 6 4
4 2 2 2 2 2 4 4 4 2 2 2 4 2
2 4 10 4 10 6 2 14 2 10 4 4 14 10
4 6 12 6 2 4 4 4 4 14 6 6 4 14
6 6 2 2 12 6 8 2 8 4 2 2 2 4
6 2 4 6 4 2 6 6 6 2 6 6 6 2
2 6 2 4 2 22 4 4 4 10 10 4 4 10
6 4 10 2 10 2 6 8 6 2 6 6 8 2
4 2 2 4 2 4 2 6 2 10 6 6 6 10
2 6 10 6 10 2 4 4 4 2 2 6 4 2
6 4 2 6 2 4 6 6 6 4 6 2 6 4
4 6 4 2 4 6 8 2 2 6 6 6 2 2
6 8 2 6 2 2 6 4 6 8 6 6 4 4
8 4 4 6 4 6 4 6 10 6 4 6 6 14
4 2 14 6 14 4 2 2 2 4 6 4 2 4
2 4 4 4 4 2 4 6 4 2 8 6 6 2
4 2 2 6 2 4 6 10 6 4 4 8 6 4
2 4 4 8 4 6 2 2 2 6 6 4 4 6
4 14 6 4 6 6 6 4 6 6 2 6 2 6
14 4 6 6 6 2 4 6 4 2 4 2 4 2
4 6 2 2 2 6 2 2 2 6 8 4 6 6
6 2 6 4 6 6 16 6 16 4 6 8 2 4
2 10 4 8 4 6 2 4 2 8 4 6 6 8
10 2 8 6 8 4 16 2 16 4 8 4 4 4
2 6 4 4 4 6 2 16 2 6 4 8 18 6
6 6 6 8 6 8 4 2 4 8 6 4 2 8
6 4 8 4 8 4 6 16 6 4 2 6 18 4
4 6 4 6 4 6 2 2 2 2 6 2 4 2
6 6 2 2 2 6 6 4 6 6 6 6 6 6
6 2 6 6 6 8 4 6 4 4 4 6 2 4
2 10 4 6 4 6 6 2 2 8 2 4 6 8
10 2 8 4 8 4 6 6 4 6 4 2 4 6
2 4 6 2 6 8 6 4 6 4 14 4 2 4
4 2 4 4 4 4 2 2 6 6 4 18 4 6
2 12 6 18 6 6 6 4 2 6 2 2 6 6
12 12 6 2 6 2 4 6 6 6 4 4 6 6
12 4 6 4 6 6 2 6 4 2 2 2 2 2
4 2 2 2 2 6 6 2 2 6 10 10 6 6
2 4 6 10 6 4 4 6 6 6 2 2 4 6
4 6 6 2 6 2 6 4 4 4 10 10 2 4
6 2 4 10 6 4 8 2 14 2 2 2 6 2
2 10 6 2 4 6 4 6 4 4 4 4 4 4
10 6 6 4 6 8 6 4 6 6 2 2 6 6
6 6 2 2 2 4 2 14 2 2 10 10 8 2
6 6 6 12 6 2 4 4 4 6 2 2 4 6
6 2 4 10 4 4 14 2 14 4 10 10 2 4
2 6 2 2 2 2 4 4 4 2 2 2 4 2
6 4 4 4 4 10 6 2 6 4 4 4 2 4
4 2 2 6 2 2 2 4 2 2 6 6 4 2
这是以邻距按顺序表示的最密51生素数式，开始0代表本位，即起始位置，后边的正整数表示相邻两个素数的差值。这是正最密51生素数式，下楼是与其反向的，逆最密51生素数式。

白新岭 · 发表于 2019-8-4 18:18

素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51 素数式51
0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 4 6 6 2 2 4 2 2 2 6 2 2 4
4 2 4 4 4 6 2 6 10 4 4 4 4 6
2 4 2 2 2 4 4 4 2 2 2 2 6 2
4 2 10 10 4 14 2 14 4 4 10 4 2 6
6 4 2 2 6 4 4 4 2 6 12 6 6 6
2 8 10 10 2 2 14 2 4 2 2 2 6 6
6 6 2 2 6 6 4 6 8 6 4 6 6 10
4 4 4 4 4 4 6 4 6 4 2 6 10 2
2 6 2 2 2 14 2 8 4 6 10 4 2 6
4 2 10 10 4 4 4 6 2 6 2 6 6 4
6 4 2 2 6 6 6 4 4 6 10 6 4 2
6 6 10 10 6 2 2 6 6 2 2 2 2 4
2 2 2 2 2 4 6 2 6 6 4 6 4 12
6 6 4 4 6 6 6 4 2 6 2 6 12 12
6 6 2 2 6 2 4 6 6 6 18 6 12 2
6 4 18 4 6 6 2 2 4 4 4 4 2 4
4 2 4 14 4 6 4 6 8 6 2 6 4 2
6 4 2 4 6 4 6 6 4 8 4 8 2 10
8 6 4 2 8 2 2 6 6 4 6 4 10 2
4 2 6 4 4 4 6 4 8 6 6 6 2 6
6 6 6 6 6 6 4 6 6 2 2 2 6 6
2 4 2 6 2 2 2 2 6 4 6 4 6 4
4 18 6 2 4 6 16 6 4 8 4 8 4 6
8 2 4 6 8 4 2 4 8 6 8 6 6 6
6 18 8 4 6 2 16 2 6 4 4 4 6 2
4 4 4 8 4 16 2 16 4 8 6 8 2 10
8 6 6 4 8 2 4 2 6 4 8 4 10 2
4 2 8 6 4 16 6 16 6 6 4 6 2 6
6 6 4 8 6 2 2 2 6 2 2 2 6 4
2 4 2 4 2 4 6 4 2 6 6 6 4 14
6 2 6 2 6 6 4 6 6 6 4 6 14 4
6 4 4 6 6 2 2 2 6 4 8 4 4 2
4 6 8 4 4 6 10 6 4 2 6 2 2 4
2 6 6 8 2 4 6 4 2 4 4 4 4 2
4 2 4 6 4 2 2 2 4 14 6 14 2 4
14 6 6 4 6 10 6 4 6 4 6 4 4 8
4 4 6 6 8 6 4 6 2 2 6 2 8 6
2 2 6 6 6 2 2 8 6 4 2 4 6 4
4 6 2 6 4 6 6 6 4 2 6 2 4 6
2 4 6 2 2 4 4 4 2 10 6 10 6 2
10 6 6 6 10 2 6 2 4 2 4 2 2 4
2 8 6 6 2 6 8 6 2 10 2 10 4 6
10 4 4 10 10 4 4 4 22 2 4 2 6 2
2 6 6 6 2 6 6 6 2 4 6 4 2 6
4 2 2 2 4 8 2 8 6 12 2 2 6 6
14 4 6 6 14 4 4 4 4 2 6 12 6 4
10 14 4 4 10 2 14 2 6 10 4 10 4 2
2 4 2 2 2 4 4 4 2 2 2 2 2 4
4 6 4 4 4 2 6 2 6 4 4 4 4 6
6 2 2 2 6 4 2 4 4 6 2 6 6 2
最密51生素数有22种形式。

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