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2017-11-02, 09:49
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#1 |
Jun 2003
Oxford, UK
22·13·37 Posts |
1e19 to 1.1e19
This thread captured results for the coordinated search for prime gaps in the integer range 1e19 to 1.1e19.
A = start -res1 & -res B = end -res2 C = responsible D = status E = records? F = largest gap G = start of largest gap Code:
A B C D E F G 0 10 Antonio done no 1260 10769897009995834379 10 20 Antonio done no 1292 10086363189605383739 20 30 Antonio done no 1146 10033749122727634573 30 40 Antonio done no 1190 10262738753747625461 40 50 Antonio done no 1266 10352638802956967233 50 60 Antonio done no 1250 10250321197418072189 60 70 Antonio done no 1224 10073743647445393393 70 80 Antonio done no 1194 10994591702729397263 80 90 Antonio done no 1252 10334216146307048389 90 100 Antonio done no 1196 10745619848947864733 100 110 Antonio done no 1152 10637161928517617561 110 120 Antonio done no 1236 10064718970483081913 120 130 Antonio done no 1200 10067645502480157637 130 140 Antonio done no 1162 10084824310730863867 140 150 Antonio done no 1232 10950825981606397181 150 160 Antonio done no 1362 10414235829507217111 160 170 Antonio done no 1196 10920809518107709967 170 180 Antonio done no 1260 10286547228743166659 180 190 Antonio done no 1230 10345367293156211999 190 200 Antonio done no* 1402 10292262854454228757 200 210 robert44444uk done no 1238 10811651093835158321 210 220 robert44444uk done no 1170 10176676174153429081 220 230 robert44444uk done no 1164 10523820154247817047 230 240 robert44444uk done no 1332 10819183125728071537 240 250 robert44444uk done no 1164 10787100462472289759 250 260 robert44444uk done no 1228 10792508375867650813 260 270 robert44444uk done no 1172 10354347990773647451 & 10832291300422175879 270 280 robert44444uk done no 1272 10581100816934150117 280 290 robert44444uk done no 1250 10439806241997795941 & 10118835048325114169 290 300 robert44444uk done no 1258 10181853895194471859 300 310 robert44444uk done no 1266 10758358784475985477 310 320 robert44444uk done no 1214 10642831982650656809 320 330 robert44444uk done no 1218 10251221829920676239 330 340 robert44444uk done no 1278 10952879414980926821 340 350 robert44444uk done no 1274 10274996718808278797 350 360 robert44444uk done no 1254 10321345101341182933 360 370 robert44444uk done no 1206 10964432029525697923 370 380 robert44444uk done no 1170 10008820651454713943 &10890947796004459031 380 390 robert44444uk done no 1248 10496332830462751469 390 400 robert44444uk done no 1236 10172854552726435411 400 410 robert44444uk done no 1310 10889437244308208279 410 420 robert44444uk done no 1230 10264270426955843057 420 430 robert44444uk done no 1196 10766832196560902963 430 440 robert44444uk done no 1260 10713452816411495693 440 450 robert44444uk done no 1200 10609282868542062937 450 460 robert44444uk done no 1240 10593513875537089801 460 470 robert44444uk done no 1328 10709154717277345391 470 480 robert44444uk done no 1222 10633194468381525571 480 490 robert44444uk done no 1230 10848311538832877701 490 500 robert44444uk done no 1200 10827046697962613779 500 510 robert44444uk done no 1260 10858698733412594153 510 520 robert44444uk done no 1210 10641418303019590729 520 530 robert44444uk done no 1232 10127143759712777849 530 540 robert44444uk done no 1194 10110252213688552697 540 550 robert44444uk done no 1272 10989916464381271451 550 560 robert44444uk done no 1190 10446600811736940047 & 10057782497636180093 560 570 robert44444uk done no 1422 10486180946773770991 570 580 robert44444uk done no 1166 10779884084652453401 580 590 robert44444uk done no 1320 10908044931527051999 590 600 robert44444uk done no 1236 10029511647801192161 600 610 firejuggler done no 1158 10935054470058040799 610 620 firejuggler done no 1148 10710523948564384361 620 630 firejuggler done no 1224 10307470617169132837 630 640 firejuggler done no 1314 10156233119139848347 640 650 firejuggler done no 1290 10285083901569254539 650 660 firejuggler done no 1212 10984341749490988051 660 670 firejuggler done no 1212 10984341749490988051 670 680 firejuggler done no 1158 10993883170638646763 680 690 firejuggler done no 1170 10431294048845737097 690 700 firejuggler done no 1212 10171631235380046217 700 710 danaj done no 1302 10368107507615186621 710 720 danaj done no 1200 10446909962070650333 720 730 danaj done no 1272 10083610656022015379 730 740 danaj done no 1224 10627407544701764983 740 750 danaj done no 1254 10790003055198545743 750 760 danaj done no 1214 10846798293678479219 760 770 danaj done no 1224 10932375500251830217 770 780 danaj done no 1260 10653977943580406593 780 790 danaj done no 1192 10210990822929925111 790 800 danaj done no 1184 10482257417988481529 800 810 firejuggler done no 1232 10346459172739819427 810 820 firejuggler done no 1248 10409890901958247043 820 830 firejuggler done no 1230 10475589264338564257 830 840 firejuggler done no 1192 10627665836844831547 840 850 firejuggler done no 1248 10027075270869665291 850 860 firejuggler done no 1186 10318617498288781897 860 870 firejuggler done no 1248 10550316320255033723 870 880 firejuggler done no 1176 10013926881978679721 880 890 firejuggler done no 1172 10631103097250384939 890 900 firejuggler done no 1162 10819640247578341159 900 910 danaj done no 1198 10620191094764557063 910 920 danaj done no 1236 10985145860397788843 920 930 danaj done no 1308 10658617125979705669 930 940 danaj done no 1174 10122202560578817463 940 950 danaj done no 1150 10117661789119912849 950 960 danaj done no 1200 10654696807122291941 960 970 danaj done no 1232 10765884479445785957 970 980 danaj done no 1248 10136561648606314333 980 990 danaj done no 1206 10530552328539479923 990 1000 danaj done no 1174 10435644828781414159 1000 1010 Thomas11 done no 1220 10817628589750528433 1010 1020 Thomas11 done no 1224 10512847469357699329 1020 1030 Thomas11 done no 1200 10243730900018814053 1030 1040 Thomas11 done no 1208 10047686078152346411 1040 1050 Thomas11 done no 1196 10651958270811631871 1050 1060 Thomas11 done no 1158 10728629746576517999 1060 1070 Thomas11 done no 1230 10527072745040210621 1070 1080 Thomas11 done no 1170 10292728451583500557 1080 1090 Thomas11 done no 1186 10588036251809016337 1090 1100 Thomas11 done no 1336 10217357899308406153 1100 1110 Thomas11 done no 1338 10222827072667323419 1110 1120 Thomas11 done no 1284 10242313093509012977 1120 1130 Thomas11 done no 1308 10902500644186516943 1130 1140 Thomas11 done no 1212 10043014574349312791 1140 1150 Thomas11 done no 1260 10277049195580722031 1150 1160 Thomas11 done no 1216 10614814473704308201 1160 1170 Thomas11 done no 1182 10757371899256441477 1170 1180 Thomas11 done no 1238 10702365369571183601 1180 1190 Thomas11 done no 1200 10153176439157044417 1190 1200 Thomas11 done no 1300 10293357057230438833 1200 1210 Thomas11 done no 1190 10502328396512624621 1210 1220 Thomas11 done no 1188 10653953429631989863 1220 1230 Thomas11 done no 1340 10377871228198804727 1230 1240 Thomas11 done no 1226 10455107149148643563 1240 1250 Thomas11 done no 1214 10077978425433307133 1250 1260 Thomas11 done no 1182 10335266529036434471 1260 1270 Thomas11 done no 1236 10450741408489110173 1270 1280 Thomas11 done no 1236 10292942230045120171 1280 1290 Thomas11 done no 1258 10609413877076258821 1290 1300 Thomas11 done no 1214 10199917202570652017 1300 1310 Thomas11 done no 1306 10497910409539955431 1310 1320 Thomas11 done no 1262 10133912241990774947 1320 1330 Thomas11 done no 1208 10834448540743404443 1330 1340 Thomas11 done no 1172 10239582903878748311 1340 1350 Thomas11 done no 1278 10381194269196770653 1350 1360 Thomas11 done no 1314 10778395705730648819 1360 1370 Thomas11 done no 1218 10146063955754490013 1370 1380 Thomas11 done no 1180 10162943677274644387 1380 1390 Thomas11 done no 1158 10424607115064228509 1390 1400 Thomas11 done no 1180 10882859867642915137 1400 1410 Thomas11 done no 1262 10383309528957789629 1410 1420 Thomas11 done no 1152 10921682798998828037 1420 1430 Thomas11 done no 1214 10893031804189953287 1430 1440 Thomas11 done no 1240 10735256313485016769 1440 1450 Thomas11 done no 1142 10839550743247557041 1450 1460 Thomas11 done no 1170 10034233810079331289 1460 1470 Thomas11 done no 1278 10463023210043119171 1470 1480 Thomas11 done no 1254 10196691317043577757 1480 1490 Thomas11 done no 1160 10112132055397952039 & 10626166699346807963 1490 1500 Thomas11 done no 1250 10700670928921316807 1500 1510 Thomas11 done no 1250 10503633734496560039 1510 1520 Thomas11 done no 1318 10102405863856464799 1520 1530 Thomas11 done no 1290 10607440288213625317 1530 1540 Thomas11 done no 1206 10710706408367110261 1540 1550 Thomas11 done no 1160 10106707481165235533 1550 1560 Thomas11 done no 1272 10533782733492519299 1560 1570 Thomas11 done no 1160 10310528546852076281 1570 1580 Thomas11 done no 1254 10551646527769322803 1580 1590 Thomas11 done no 1238 10678821710575531061 1590 1600 Thomas11 done no 1188 10744137147808359181 & 10149765355431524729 1600 1610 Thomas11 done no 1210 10205506961021051941 1610 1620 Thomas11 done no 1198 10541093107332417439 1620 1630 Thomas11 done no 1254 10402301234285247803 1630 1640 Thomas11 done no 1240 10891684349396068591 1640 1650 Thomas11 done no 1218 10931665960528511899 1650 1660 Thomas11 done no 1288 10331290759757938351 1660 1670 Thomas11 done no 1202 10667445781296675407 1670 1680 Thomas11 done no 1226 10992295765903850627 1680 1690 Thomas11 done no 1316 10355307967707585167 1690 1700 Thomas11 done no 1218 10796825226424851121 1700 1710 Thomas11 done no 1332 10808656195864026751 1710 1720 Thomas11 done no 1282 10673791287125936791 1720 1730 Thomas11 done no 1164 10671475235828249347 1730 1740 Thomas11 done no 1446 10838219209146640627 1740 1750 Thomas11 done no 1228 10556864292894287143 1750 1760 Thomas11 done no 1260 10817097865373854693 1760 1770 Thomas11 done no 1240 10801206456626168347 1770 1780 Thomas11 done no 1216 10144584273205708723 1780 1790 Thomas11 done no 1352 10581892140682916399 1790 1800 Thomas11 done no 1194 10404306199744393147 1800 1810 Thomas11 done no 1194 10637371879929545039 1810 1820 Thomas11 done no 1220 10638168396095168063 1820 1830 Thomas11 done no 1206 10230579091920114061 1830 1840 Thomas11 done no 1248 10287205135176699911 1840 1850 Thomas11 done no 1258 10520686299099879649 1850 1860 Thomas11 done no 1392 10280911257460701449 1860 1870 Thomas11 done no 1232 10448187706639374389 1870 1880 Thomas11 done no 1278 10384180830723232999 1880 1890 Thomas11 done no 1270 10173462505329471811 1890 1900 Thomas11 done no 1254 10148619818075709079 1900 1910 Thomas11 done no 1182 10966198466475989249 1910 1920 Thomas11 done no 1326 10220330181223194941 1920 1930 Thomas11 done no 1212 10804447621949207011 1930 1940 Thomas11 done no 1192 10844863172545946767 1940 1950 Thomas11 done no 1224 10884479870118047099 1950 1960 Thomas11 done no 1250 10946610182132482601 1960 1970 Thomas11 done no 1218 10598626714916944793 1970 1980 Thomas11 done no 1268 10061606506944462083 1980 1990 Thomas11 done no 1222 10671015048663639829 1990 2000 Thomas11 done no 1248 10622587579142427913 2000 2010 pinhodecarlos done no 1180 10882971397249685887 2010 2020 pinhodecarlos done no 1264 10161724306325136043 2020 2030 pinhodecarlos done no 1310 10648439444705324111 2030 2040 pinhodecarlos done no 1384 10115258514040161199 2040 2050 pinhodecarlos done no 1208 10770226469591197151 2050 2060 pinhodecarlos done no 1182 10188486407393803309 & 10511379332932659799 2060 2070 pinhodecarlos done no 1208 10070664045729185183 2070 2080 pinhodecarlos done no 1312 10403700429370016929 2080 2090 pinhodecarlos done no 1246 10158407762043962347 2090 2100 pinhodecarlos done no 1236 10069156416830813857 2100 2110 pinhodecarlos done no 1208 10422746194968889493 & 10696512812086265201 2110 2120 pinhodecarlos done no 1194 10292280842783811373 2120 2130 pinhodecarlos done no 1250 10886469778544712767 2130 2140 pinhodecarlos done no 1208 10830682819396906559 2140 2150 pinhodecarlos done no 1160 10466959799801560151 &10041878794213204331 2150 2160 pinhodecarlos done no 1262 10954888761976300151 2160 2170 pinhodecarlos done no 1246 10913227471337070757 2170 2180 pinhodecarlos done no 1148 10656249850727302769 &10517695526056329881 2180 2190 pinhodecarlos done no 1192 10513867897533522061 2190 2200 pinhodecarlos done no 1320 10218910044178805953 2200 2210 pinhodecarlos done no 1280 10448705130298038137 2210 2220 pinhodecarlos done no 1206 10160139037829708003 2220 2230 pinhodecarlos done no 1236 10765207232813538163 2230 2240 pinhodecarlos done no 1258 10594489505714777911 2240 2250 pinhodecarlos done no 1244 10945649898321795719 2250 2260 mart_r done no 1168 10908478468456190803 2260 2270 mart_r done no 1244 10609254434077592213 2270 2280 mart_r done no 1230 10730726448872615741 2280 2290 mart_r done no 1254 10459712411083206119 2290 2300 mart_r done no 1304 10001736214057990013 2300 2310 mart_r done no 1290 10012310884944391759 2310 2320 mart_r done no 1266 10153719790058902901 2320 2330 mart_r done no 1204 10935819833333647957 2330 2340 mart_r done no 1304 10384141576010460743 2340 2350 mart_r done no 1248 10544630519773349353 2350 2360 mart_r done no 1222 10373584694646531409 2360 2370 mart_r done no 1230 10599353842139088727 2370 2380 mart_r done no 1286 10114919159105175281 2380 2390 mart_r done no 1274 10428857620420287899 2390 2400 mart_r done no 1230 10801349053195452307 2400 2410 mart_r done no 1278 10962775525810726183 2410 2420 mart_r done no 1324 10804866417608171143 2420 2430 mart_r done no 1266 10647479626790265983 2430 2440 mart_r done no 1290 10348900997649962897 2440 2450 mart_r done no 1336 10095598707189936481 2450 2460 mart_r done no 1416 10137000928779875093 2460 2470 mart_r done no 1316 10618334770169946317 2470 2480 mart_r done no 1356 10835973713181486971 2480 2490 mart_r done no 1196 10252440859473527903 2490 2500 mart_r done no 1290 10864849855739726419 2500 2510 Thomas11 done no 1194 10353960520130994037 2510 2520 Thomas11 done no 1256 10093069342773559991 2520 2530 Thomas11 done no 1248 10018629212096983529 2530 2540 Thomas11 done no 1224 10979170946465176597 2540 2550 Thomas11 done no 1242 10404507596600880619 2550 2560 Thomas11 done no 1260 10071840650242433003 2560 2570 Thomas11 done no 1150 10844960287462816939 2570 2580 Thomas11 done no 1192 10972741108301164957 2580 2590 Thomas11 done no 1238 10417068336097499753 2590 2600 Thomas11 done no 1304 10430044538506881539 2600 2610 Thomas11 done no 1206 10288027449327430501 2610 2620 Thomas11 done no 1188 10522300754438950523 2620 2630 Thomas11 done no 1232 10198856152183382441 2630 2640 Thomas11 done no 1208 10338002910582105623 2640 2650 Thomas11 done no 1202 10845645624608090999 2650 2660 Thomas11 done no 1242 10961496915827624909 2660 2670 Thomas11 done no 1204 10502520178319451493 2670 2680 Thomas11 done no 1210 10565139006898415911 2680 2690 Thomas11 done no 1222 10950492693432427231 2690 2700 Thomas11 done no 1230 10101437582962824223 & 10399880728656764647 2700 2710 Thomas11 done no 1206 10946890827900607807 2710 2720 Thomas11 done no 1188 10328269539912135341 & 10198530798673010813 2720 2730 Thomas11 done no 1248 10930421407312253783 2730 2740 Thomas11 done no 1322 10649323678194746087 2740 2750 Thomas11 done no 1290 10865978886997924381 2750 2760 Thomas11 done no 1260 10716026834488487489 2760 2770 Thomas11 done no 1288 10764132238150972543 2770 2780 Thomas11 done no 1170 10962712795267925381 2780 2790 Thomas11 done no 1208 10339758485614183343 2790 2800 Thomas11 done no 1212 10861543562197910927 2800 2810 Thomas11 done no 1254 10479775344345104663 2810 2820 Thomas11 done no 1190 10255332428977175759 2820 2830 Thomas11 done no 1220 10560717174852293861 2830 2840 Thomas11 done no 1212 10019447362509748187 2840 2850 Thomas11 done no 1258 10693779311971820149 2850 2860 Thomas11 done no 1240 10957645356569366383 2860 2870 Thomas11 done no 1296 10449231630141299761 2870 2880 Thomas11 done no 1208 10833563046161164943 2880 2890 Thomas11 done no 1218 10491299254054141291 2890 2900 Thomas11 done no 1234 10380120226201093789 2900 2910 Thomas11 done no 1180 10939150067117886529 2910 2920 Thomas11 done no 1278 10203436201965026071 2920 2930 Thomas11 done no 1212 10412988471899187989 2930 2940 Thomas11 done no 1232 10703334238686629801 2940 2950 Thomas11 done no 1206 10230692982402928517 2950 2960 Thomas11 done no 1202 10652884916197019957 2960 2970 Thomas11 done no 1202 10226060839854530399 2970 2980 Thomas11 done no 1196 10251345403276055291 2980 2990 Thomas11 done no 1202 10264134017085429101 2990 3000 Thomas11 done no 1404 10381687529551833349 3000 3010 Thomas11 done no 1218 10629819391828363021 3010 3020 Thomas11 done no 1284 10989363499403147699 3020 3030 Thomas11 done no 1300 10656030245963841751 3030 3040 Thomas11 done no 1296 10045567374751622381 3040 3050 Thomas11 done no 1220 10487363058627882293 3050 3060 Thomas11 done no 1160 10472911347232479293 & 10316813875340699417 & 10234131753234585407 3060 3070 Thomas11 done no 1304 10307136812845446053 3070 3080 Thomas11 done no 1260 10985716536540072473 3080 3090 Thomas11 done no 1220 10956854297148928277 3090 3100 Thomas11 done no 1176 10055617373673104087 3100 3110 Thomas11 done no 1170 10347973287678171737 & 10435994336481828839 3110 3120 Thomas11 done no 1236 10850220058744719661 3120 3130 Thomas11 done no 1204 10886872877428752877 3130 3140 Thomas11 done no 1282 10274409402533600101 3140 3150 Thomas11 done no 1260 10542492713636826571 3150 3160 Thomas11 done no 1248 10374554691359503231 3160 3170 Thomas11 done no 1242 10283065801966776187 3170 3180 Thomas11 done no 1314 10410635994686652787 3180 3190 Thomas11 done no 1162 10290259155312780037 3190 3200 Thomas11 done no 1302 10207155717045059111 3200 3210 Thomas11 done yes 1402 10103695526434940251 3210 3220 Thomas11 done no 1202 10123127055921662927 3220 3230 Thomas11 done no 1330 10644263825973414541 3230 3240 Thomas11 done no 1352 10822490161949982749 3240 3250 Thomas11 done no 1224 10080341528639518229 3250 3260 Thomas11 done no 1344 10052672508010857047 3260 3270 Thomas11 done no 1198 10081516773236281963 3270 3280 Thomas11 done no 1210 10336455332521835281 & 10634965269262645777 3280 3290 Thomas11 done no 1316 10647202890639318281 3290 3300 Thomas11 done no 1356 10075257341699598313 3300 3310 Thomas11 done no 1284 10338229207910392357 3310 3320 Thomas11 done no 1232 10156353975088316537 3320 3330 Thomas11 done no 1184 10819713170549040143 3330 3340 Thomas11 done no 1344 10810847206384152457 3340 3350 Thomas11 done no 1182 10632308524763414717 3350 3360 Thomas11 done no 1180 10248771597392680687 3360 3370 Thomas11 done no 1196 10789864610042237351 3370 3380 Thomas11 done no 1232 10942151882716264949 3380 3390 Thomas11 done no 1176 10451152731014146783 3390 3400 Thomas11 done no 1190 10975557446573274089 3400 3410 Thomas11 done no 1200 10337874392212443733 3410 3420 Thomas11 done no 1242 10599646221069678239 3420 3430 Thomas11 done no 1246 10007735629391405527 3430 3440 Thomas11 done no 1162 10683250257923117167 3440 3450 Thomas11 done no 1176 10793447273156091781 3450 3460 Thomas11 done no 1268 10884980302326732659 3460 3470 Thomas11 done no 1328 10799353847701669739 3470 3480 Thomas11 done no 1292 10126164888738491777 3480 3490 Thomas11 done no 1312 10593412704447006349 3490 3500 Thomas11 done no 1204 10475043006017337673 3500 3510 Thomas11 done no 1184 10477317927118173203 3510 3520 Thomas11 done no 1240 10573736844434784667 3520 3530 Thomas11 done no 1192 10610391036236036317 3530 3540 Thomas11 done no 1204 10704836930074943269 3540 3550 Thomas11 done no 1306 10260742298558380327 3550 3560 Thomas11 done no 1222 10198895390660526787 3560 3570 Thomas11 done no 1258 10226402917658516089 3570 3580 Thomas11 done no 1170 10751460827801685839 & 10384012633328411291 3580 3590 Thomas11 done no 1314 10024712471958079043 3590 3600 Thomas11 done no 1246 10201702853909362567 3600 3610 Thomas11 done no 1242 10603942213693307561 3610 3620 Thomas11 done no 1230 10443196903496057177 3620 3630 Thomas11 done no 1230 10598301600166319959 3630 3640 Thomas11 done no 1220 10835389557742845731 3640 3650 Thomas11 done no 1322 10152201245344349537 3650 3660 Thomas11 done no 1334 10238307072704090573 3660 3670 Thomas11 done no 1326 10183771460165115391 3670 3680 Thomas11 done no 1176 10463063417016441821 3680 3690 Thomas11 done no 1222 10033611903244786651 3690 3700 Thomas11 done no 1242 10899460758637364077 3700 3710 Thomas11 done no 1182 10582232051306131877 3710 3720 Thomas11 done no 1214 10585619287927190597 3720 3730 Thomas11 done no 1210 10213246719586052407 3730 3740 Thomas11 done no 1294 10663616501142208147 3740 3750 Thomas11 done no 1186 10214071830243825343 3750 3760 Thomas11 done no 1216 10218748112929044181 3760 3770 Thomas11 done no 1176 10295180444505328991 & 10992797221352928637 3770 3780 Thomas11 done no 1198 10761152156155055449 3780 3790 Thomas11 done no 1294 10394560897604406283 3790 3800 Thomas11 done no 1236 10983739848724040831 3800 3810 Thomas11 done no 1242 10077252682767835699 3810 3820 Thomas11 done no 1278 10577958603391030123 3820 3830 Thomas11 done no 1258 10991773523092978873 3830 3840 Thomas11 done no 1214 10430903401390789997 3840 3850 Thomas11 done no 1182 10295243323036837141 3850 3860 Thomas11 done no 1244 10152017756793860333 3860 3870 Thomas11 done no 1278 10529766460241094389 3870 3880 Thomas11 done no 1206 10790664742281995617 3880 3890 Thomas11 done no 1216 10642958130304860601 & 10853082692851463593 3890 3900 Thomas11 done no 1212 10773342654798591031 3900 3910 Thomas11 done no 1254 10234880666310200983 3910 3920 Thomas11 done no 1398 10606013383668924289 3920 3930 Thomas11 done no 1170 10383413650913578787 & 10403434525319947297 3930 3940 Thomas11 done no 1246 10146467309043865297 3940 3950 Thomas11 done no 1182 10885385576094058319 3950 3960 Thomas11 done no 1308 10348607343678789049 3960 3970 Thomas11 done no 1220 10011317801371714691 3970 3980 Thomas11 done no 1226 10986888531091844717 3980 3990 Thomas11 done no 1242 10339243864692492479 3990 4000 Thomas11 done no 1254 10487143381213861807 4000 4010 pinhodecarlos done no 1166 10286653465737318437 4010 4020 pinhodecarlos done no 1192 10065224725894188859 4020 4030 pinhodecarlos done no 1312 10934464679887882891 4030 4040 pinhodecarlos done no 1236 10529009204492425183 & 10757452995545343397 4040 4050 pinhodecarlos done no 1228 10320561496611916783 4050 4060 pinhodecarlos done no 1272 10525000659223794089 4060 4070 pinhodecarlos done no 1216 10864465771840034617 4070 4080 pinhodecarlos done no 1200 10499807524973548169 & 10410235541802708943 4080 4090 pinhodecarlos done no 1248 10131758525959470299 4090 4100 pinhodecarlos done no 1248 10732865461711889959 Work on the range commenced on 3 November 2017 and was completed on 17 January 2018 (UK times). There was only 1 first instance gap found, which is highlighted in red in the tables. 1382 is the smallest gap which has not been found in the entire range to 1.1e19. Last fiddled with by robert44444uk on 2018-03-05 at 14:34 |
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2017-11-02, 09:50
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#2 |
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Jun 2003
Oxford, UK
192410 Posts |
This post shows results from res 4100 to 8151. There were no records in this res range.
Code:
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2017-11-02, 14:30
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#3 |
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Jun 2003
Oxford, UK
111100001002 Posts |
Let us choose of range of integers - say the 100,000,000,000 range from 1e19 to (1e19+1e11). Then we might expect the average prime gap to be approx. ln(1e19) which is 43.7491.
Let us now look at all of the gaps in this range - there are 2,285,693,140 primes and the average gap length is fairly close to expected at 43.7504. I we now take out all of the gaps of length 2, (68,985,092 of them), then the remaining integer space occupied by the remaining primes is still close to 1e11, and hence the average size of the remaining gaps is larger, in fact 45.0497. If we now repeat this exercise, with gaps of length 4,6,8... then we will soon have accounted for all of the integer space. If we look at the average of gaps larger than 2, then we could perhaps also think of this as testing for the next prime following a known prime. If the next odd integer after a prime is a composite, then the expected length of the gap to the next prime should be 2+ln(1e19), but it is not: 45.0497 is not close to 2+43.7504 = 45.7504. We can repeat this exercise removing the gaps of length 4, 6, 8... and comparing the remaining number space and the number of remaining primes and comparing this to the expected gap size. This deficit in the case of the integer range chosen continues until the numbers of remaining gaps are quite small and then, as might be expected there are variations. A graph showing the deficit is shown below, as is a table of the found gaps of varying length up to the largest gaps of 822. It shows a deficit for a long period, before going into surfeit and then performs poorly. I'm not sure this is helpful but I am trying to get my head around the question - if a gap is 1000 or more, then, on average how large might it be? Gut feeling is 1046 but I bet this is not the case. Comments, observations are welcome. Code:
2 68985092 4 68982151 6 131134259 8 62258882 10 81948141 12 115195677 14 66742825 16 53246932 18 102339039 20 62819046 22 52988408 24 88624419 26 45641305 28 50031433 30 101724280 32 35470888 34 37607377 36 66617983 38 33630156 40 41256918 42 68423636 44 30054396 46 27367598 48 50111443 50 31215215 52 24768058 54 43541291 56 24606077 58 21264880 60 49837679 62 17692156 64 17511581 66 35940604 68 16138575 70 23738352 72 27249683 74 13761488 76 13320601 78 26617888 80 15117609 82 11266411 84 25008102 86 9954835 88 10586761 90 23633539 92 8713394 94 8260155 96 15467287 98 8777740 100 9492966 102 14084790 104 6877068 106 6246727 108 11676674 110 7934274 112 6346065 114 10500057 116 4865332 118 4777925 120 11464980 122 4051226 124 4140008 126 8836637 128 3450266 130 4884245 132 6916945 134 3056817 136 3025105 138 5813786 140 4072335 142 2513048 144 4692435 146 2215599 148 2313946 150 5447439 152 1973402 154 2470397 156 3770117 158 1679780 160 2110223 162 2980985 164 1495588 166 1391311 168 3166748 170 1715474 172 1194984 174 2316606 176 1166585 178 1064096 180 2573076 182 1141526 184 932787 186 1701485 188 782165 190 1089230 192 1410026 194 683807 196 777813 198 1377339 200 767319 202 573723 204 1139485 206 507139 208 547516 210 1439302 212 414045 214 408995 216 769654 218 370417 220 526728 222 684183 224 387272 226 304071 228 615260 230 375105 232 275376 234 540118 236 236528 238 291950 240 564632 242 218428 244 196249 246 377489 248 180415 250 225795 252 374421 254 150621 256 141492 258 281479 260 186772 262 124982 264 260985 266 138167 268 111173 270 265985 272 95185 274 94322 276 180600 278 81581 280 128435 282 149177 284 71554 286 81372 288 128941 290 83872 292 60415 294 132093 296 53326 298 50822 300 125405 302 43567 304 45602 306 86833 308 50207 310 51778 312 74768 314 32901 316 32225 318 62306 320 37134 322 34656 324 51337 326 24709 328 24916 330 65986 332 20777 334 20285 336 45087 338 19251 340 24361 342 33466 344 15603 346 14616 348 29834 350 20734 352 14456 354 24691 356 11326 358 11368 360 27812 362 9724 364 12196 366 17961 368 8819 370 11113 372 15834 374 8834 376 6998 378 15994 380 8615 382 5911 384 11314 386 5394 388 5451 390 14102 392 5251 394 4470 396 9161 398 3762 400 5089 402 7094 404 3415 406 4075 408 6687 410 3934 412 2860 414 5563 416 2759 418 2896 420 7059 422 2044 424 2053 426 3872 428 1792 430 2341 432 3480 434 2023 436 1544 438 2955 440 1902 442 1577 444 2474 446 1180 448 1388 450 2760 452 924 454 987 456 1994 458 853 460 1178 462 1975 464 736 466 661 468 1513 470 839 472 614 474 1161 476 658 478 528 480 1297 482 420 484 526 486 844 488 453 490 618 492 700 494 421 496 352 498 678 500 394 502 266 504 637 506 302 508 235 510 663 512 193 514 204 516 412 518 247 520 255 522 359 524 160 526 173 528 359 530 175 532 157 534 233 536 101 538 126 540 284 542 105 544 107 546 239 548 80 550 122 552 125 554 83 556 81 558 165 560 98 562 68 564 124 566 56 568 65 570 140 572 59 574 63 576 90 578 47 580 60 582 70 584 36 586 34 588 83 590 45 592 26 594 50 596 18 598 31 600 53 602 38 604 27 606 41 608 27 610 27 612 48 614 12 616 29 618 27 620 11 622 9 624 28 626 14 628 12 630 35 632 10 634 11 636 14 638 6 640 13 642 12 644 5 646 10 648 22 650 10 652 6 654 10 656 7 658 4 660 15 662 2 664 1 666 10 668 4 670 5 672 7 674 1 676 4 678 6 680 5 682 2 684 5 686 0 688 1 690 5 692 1 694 1 696 5 698 1 700 3 702 2 704 5 706 4 708 4 710 1 712 2 714 2 716 0 718 2 720 2 722 1 724 1 726 1 728 1 730 1 732 4 734 1 736 2 738 7 740 0 742 0 744 5 746 1 748 1 750 3 752 0 754 0 756 0 758 0 760 1 762 2 764 0 766 1 768 0 770 0 772 1 774 1 776 1 778 0 780 1 782 0 784 1 786 0 788 0 790 0 792 1 794 0 796 0 798 0 800 0 802 0 804 0 806 0 808 1 810 1 812 0 814 2 816 0 818 1 820 0 822 2 |
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2017-11-02, 18:16
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#4 |
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
10011000000012 Posts |
Robert, on first post you forgot about the colouring.
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2017-11-03, 22:13
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#5 |
"Antonio Key"
Sep 2011
UK
32·59 Posts |
reserving 0 - 100
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2017-11-04, 19:20
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#6 |
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"Dana Jacobsen"
Feb 2011
Bangkok, TH
22·227 Posts |
Reserving 6000 - 8151
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2017-11-05, 09:32
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#7 |
Feb 2003
77416 Posts |
Reserving 1000-2000.
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2017-11-08, 08:27
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#8 | |
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"Antonio Key"
Sep 2011
UK
32·59 Posts |
Quote:
Reserving 100 - 200 Last fiddled with by Antonio on 2017-11-08 at 08:35 Reason: Wrong zip attached |
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2017-11-10, 08:09
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#9 |
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"Antonio Key"
Sep 2011
UK
32×59 Posts |
My second gap for the team
 1402 C?C Spielaur 2016 26.52 23 91256023004775413350861 |
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2017-11-10, 09:50
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#10 | |
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"Carlos Pinho"
Oct 2011
Milton Keynes, UK
114018 Posts |
Quote:
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2017-11-10, 09:54
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#11 | |
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Jun 2003
Oxford, UK
22×13×37 Posts |
Quote:
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