M4 624 883 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	12.8879	66.1765%	1000000000	2510247776190	26,291.2756	27.4824%	26,304.1635	75.4720%
Target	2⁶⁵	1.5775	64.6154%	28000	600000	0.0113	2.1891%	1.5888	65.3900%
Difference	+3	+11.3104	+1.5611%	+999972000	+2510247176190	+26,291.2643	+25.2933%	+26,302.5747	+10.0820%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4624883	9249767	7	23.141	1 1	-	1	1	2.417e-13	1.909e-7	3.885e-7
4624883	416239471	9	28.633	45 3² × 5	2008-09-07	9	9	7.808e-12	1.718e-6	3.497e-6
4624883	527236663	9	28.974	57 3 × 19	2008-09-07	3	19	7.828e-12	7.392e-7	1.166e-6
4624883	10100744473	11	33.234	1092 2² × 3 × 7 × 13	2008-09-07	7	13	3.059e-10	1.399e-6	2.720e-6
4624883	1988390017084087	16	50.821	214966521 3³ × 7 × 11 × 103399	2014-06-10	27	103399	5.027e-5	0.0011	0.0020
4624883	186140113478086409	18	57.369	20123764588 2² × 47 × 107041301	2015-08-06	47	107041301	0.0050	1.1134	2.0795
4624883	2042291164552876761623023	25	80.756	220793819492609517 3 × 7 × 11² × 157 × 233 × 2375344877	2019-03-02	233	2375344877	71,476	24.708	46.147

exponent	prime factors	composite factor	digits	bits*
4624883	9249767 416239471	3850118122953257	16	51.774
4624883	9249767 527236663	4876816286607521	16	52.115
4624883	9249767 10100744473	93429532901787791	17	56.375
4624883	416239471 527236663	219456709698925273	18	57.607
4624883	416239471 10100744473	4204328536147693783	19	61.867
4624883	527236663 10100744473	5325482809760213599	19	62.208
4624883	9249767 1988390017084087	18392144363153824157729	23	73.962
4624883	416239471 1988390017084087	827646408852761335397977	24	79.453
4624883	527236663 1988390017084087	1048352117349927020281681	25	79.794
4624883	9249767 186140113478086409	1721752679025858889116703	25	80.510
4624883	9249767 416239471 527236663	2029923431301698925661391	25	80.748
4624883	10100744473 1988390017084087	20084219475230467341501151	26	84.054
4624883	9249767 416239471 10100744473	38889059350817245080098561	26	85.008
4624883	9249767 527236663 10100744473	49259475152787301660981433	26	85.349
4624883	416239471 186140113478086409	77478862365998656974449639	26	86.002
4624883	527236663 186140113478086409	98139892280627601906813167	26	86.343
4624883	10100744473 186140113478086409	1880153722417374102323167457	28	90.603
4624883	416239471 527236663 10100744473	2216676147554184945294766129	28	90.840
4624883	9249767 416239471 1988390017084087	7655536440274779659040139521359	31	102.594
4624883	9249767 527236663 1988390017084087	9697012819443482404609823618327	31	102.935
4624883	9249767 2042291164552876761623023	18890717418272769224727504585641	32	103.897
4624883	9249767 10100744473 1988390017084087	185774350522744094209995076981817	33	107.195
4624883	1988390017084087 186140113478086409	370119143418726127641010804873583	33	108.190
4624883	416239471 527236663 1988390017084087	436365530747463544810653170430751	33	108.427
4624883	9249767 416239471 186140113478086409	716661424310556299326584113984113	33	109.143
4624883	416239471 2042291164552876761623023	850082193961463374786160194940833	33	109.389
4624883	9249767 527236663 186140113478086409	907771137000903931406777507282089	33	109.484
4624883	527236663 2042291164552876761623023	1076770778473242630848369110492249	34	109.730
4624883	416239471 10100744473 1988390017084087	8359844889817827329309215438131121	34	112.687
4624883	527236663 10100744473 1988390017084087	10589136855080122757063548263899113	35	113.028
4624883	9249767 10100744473 186140113478086409	17390983856543387198323457679232519	35	113.744
4624883	9249767 416239471 527236663 10100744473	20503737879333830618884333012741943	35	113.981
4624883	10100744473 2042291164552876761623023	20628661192614203466213888076801879	35	113.990
4624883	416239471 527236663 186140113478086409	40849696846885416565690503927914657	35	114.976
4624883	416239471 10100744473 186140113478086409	782594190817688637560095093346095247	36	119.236
4624883	527236663 10100744473 186140113478086409	991285974534364614931487357618875991	36	119.577
4624883	9249767 1988390017084087 186140113478086409	3423515838862800117491609589563107205161	40	131.331
4624883	9249767 416239471 527236663 1988390017084087	4036279486245373630492600944295736385017	40	131.568
4624883	1988390017084087 2042291164552876761623023	4060871363575974558596265398815986135001	40	131.577
4624883	9249767 416239471 2042291164552876761623023	7863062224992343195805656627877284035911	40	132.530
4624883	9249767 527236663 2042291164552876761623023	9959878813286110069814426602050558555983	40	132.871
4624883	9249767 416239471 10100744473 1988390017084087	77326617386955575242342513755515784698807	41	135.828
4624883	9249767 527236663 10100744473 1988390017084087	97947048640603901834235425634321306756671	41	136.169
4624883	416239471 1988390017084087 186140113478086409	154058196463583694863172815325864409794593	42	136.823
4624883	9249767 10100744473 2042291164552876761623023	190810309553623502953070836874495485912193	42	137.131
4624883	527236663 1988390017084087 186140113478086409	195140382088507575248358598708492037773529	42	137.164
4624883	9249767 416239471 527236663 186140113478086409	377850177854324778930577355445795373134919	42	138.117
4624883	186140113478086409 2042291164552876761623023	380152309125165723877096506205499077794407	42	138.126
4624883	416239471 527236663 2042291164552876761623023	448194499219960700318973439764034273360279	42	138.363
4624883	10100744473 1988390017084087 186140113478086409	3738478892238192258470632415460124950956759	43	141.423
4624883	416239471 527236663 10100744473 1988390017084087	4407616722905153959015192842748335192489223	43	141.661
4624883	9249767 416239471 10100744473 186140113478086409	7238813920617159375978328111294631394557449	43	142.377
4624883	416239471 10100744473 2042291164552876761623023	8586463022251965157863235145941221486766009	43	142.623
4624883	9249767 527236663 10100744473 186140113478086409	9169164294810806181160979021420277718644097	43	142.718
4624883	527236663 10100744473 2042291164552876761623023	10876186489351512881929643593868510396089777	44	142.964
4624883	416239471 527236663 10100744473 186140113478086409	412612349649903398640200998978468762108440761	45	148.210
4624883	9249767 1988390017084087 2042291164552876761623023	37562113930050051464943302009209947623989794767	47	154.718
4624883	9249767 416239471 1988390017084087 186140113478086409	1425002421728373162483445422498274864192503109831	49	159.964
4624883	416239471 1988390017084087 2042291164552876761623023	1690294948173912318579568012178770095176150824471	49	160.210
4624883	9249767 527236663 1988390017084087 186140113478086409	1805003066609668448782284170500052270760342017743	49	160.305
4624883	527236663 1988390017084087 2042291164552876761623023	2141040266604056573247192933134104680872194741663	49	160.551
4624883	9249767 186140113478086409 2042291164552876761623023	3516320283919756782249479318914920588313138653169	49	161.267
4624883	9249767 416239471 527236663 2042291164552876761623023	4145694688466318227107329997005852008596887804993	49	161.504
4624883	9249767 10100744473 1988390017084087 186140113478086409	34580058687621386892057126185653353587236447825153	50	164.564
4624883	9249767 416239471 527236663 10100744473 1988390017084087	40769427712176237220018083255489740168425462761041	50	164.802
4624883	10100744473 1988390017084087 2042291164552876761623023	41017823981203998538329842365531712697155982599473	50	164.811
4624883	9249767 416239471 10100744473 2042291164552876761623023	79422782309946493002353142966167294447979166769903	50	165.764
4624883	416239471 527236663 1988390017084087 186140113478086409	81225129411258268300869476744724009010565728763159	50	165.796
4624883	9249767 527236663 10100744473 2042291164552876761623023	10060219087504947525534771363632634980090814833195 9	51	166.105
4624883	416239471 186140113478086409 2042291164552876761623023	15823439604968745369393471875892515343213181643869 7	51	166.758
4624883	527236663 186140113478086409 2042291164552876761623023	20043023489489682557893978406074612602590054674384 1	51	167.100
4624883	416239471 10100744473 1988390017084087 186140113478086409	15561024764498911516621113056465746311801423100344 89	52	170.056
4624883	527236663 10100744473 1988390017084087 186140113478086409	19710631358396010875084897182268258887054802724552 17	52	170.397
4624883	9249767 416239471 527236663 10100744473 186140113478086409	38165680955841380099299760737180740662815057725526 87	52	171.351
4624883	10100744473 186140113478086409 2042291164552876761623023	38398213352942051506606266663428050122384535355625 11	52	171.359
4624883	416239471 527236663 10100744473 2042291164552876761623023	45270981108250208550240803087303676108264092469879 67	52	171.597
4624883	9249767 416239471 1988390017084087 2042291164552876761623023	15634834431885764425290775073306785726947219083214 648257	56	183.351
4624883	9249767 527236663 1988390017084087 2042291164552876761623023	19804123603705404557354968035537048051677158139007 942521	56	183.692
4624883	9249767 10100744473 1988390017084087 2042291164552876761623023	37940531467314936594789161102789717355963440170117 9572791	57	187.952
4624883	9249767 416239471 527236663 1988390017084087 186140113478086409	75131352159898615860652855730061556265363352924441 8933953	57	188.937
4624883	1988390017084087 186140113478086409 2042291164552876761623023	75589105643594339604520503810824633070640705818941 7301409	57	188.946
4624883	416239471 527236663 1988390017084087 2042291164552876761623023	89118546796097147450248433872267810442486615787878 8780273	57	189.184
4624883	9249767 416239471 186140113478086409 2042291164552876761623023	14636312948453293694921854617305868396864696153447 17033599	58	189.899
4624883	9249767 527236663 186140113478086409 2042291164552876761623023	18539329725330651256448331095922155118922160225531 37935047	58	190.240
4624883	9249767 416239471 10100744473 1988390017084087 186140113478086409	14393585335284480328236192305296599686527251394660 785214063	59	193.197
4624883	416239471 10100744473 1988390017084087 2042291164552876761623023	17073237355507466294679186809742308726788189401689 846398783	59	193.444
4624883	9249767 527236663 10100744473 1988390017084087 186140113478086409	18231874748805659432400140415493792620093624143307 275184439	59	193.538
4624883	527236663 10100744473 1988390017084087 2042291164552876761623023	21626100639371370911605903682118966423123249856232 210078599	59	193.785
4624883	9249767 10100744473 186140113478086409 2042291164552876761623023	35517452673100274093810692737657688489637843644279 440684937	59	194.500
4624883	9249767 416239471 527236663 10100744473 2042291164552876761623023	41874602711271620679113522245043966224490962981284 146553689	59	194.738
4624883	416239471 527236663 186140113478086409 2042291164552876761623023	83426974945057595278557164458299199362320175875267 150348111	59	195.732
4624883	416239471 527236663 10100744473 1988390017084087 186140113478086409	82043427696947669751555846832367306592387398340769 5395270207	60	199.030
4624883	416239471 10100744473 186140113478086409 2042291164552876761623023	15982852013373735812764545441270226629502824255006 19266071681	61	199.992
4624883	527236663 10100744473 186140113478086409 2042291164552876761623023	20244945873367208468717210490513949287122764023705 30127540793	61	200.333
4624883	9249767 1988390017084087 186140113478086409 2042291164552876761623023	69918161494163268386068680697273993376392106954075 51903802021703	64	212.087
4624883	9249767 416239471 527236663 1988390017084087 2042291164552876761623023	82432579324249512327944210543338500819316809665640 10459739446391	64	212.325
4624883	9249767 416239471 10100744473 1988390017084087 2042291164552876761623023	15792346747414022998613581773958968576485741031750 0485454531833561	66	216.585
4624883	9249767 527236663 10100744473 1988390017084087 2042291164552876761623023	20003639203273620740293220488404250569471347345293 1441122092436433	66	216.926
4624883	416239471 1988390017084087 186140113478086409 2042291164552876761623023	31463169346452822455579963714871129343092593021142 9275336729714639	66	217.579
4624883	527236663 1988390017084087 186140113478086409 2042291164552876761623023	39853347818683146938776130144297962818364049007943 5199909346358167	66	217.920
4624883	9249767 416239471 527236663 186140113478086409 2042291164552876761623023	77168007975662055790695386741994881038801020624524 2203473995640137	66	218.873
4624883	9249767 416239471 527236663 10100744473 1988390017084087 186140113478086409	75888259007811255639483947068708564439714740838830 48413222316791769	67	222.171
4624883	10100744473 1988390017084087 186140113478086409 2042291164552876761623023	76350624104854863361444548468236235006052712786949 46194297531862457	67	222.180
4624883	416239471 527236663 10100744473 1988390017084087 2042291164552876761623023	90016366899247012007916291091221507430275836879589 21176276916181129	67	222.417
4624883	9249767 416239471 10100744473 186140113478086409 2042291164552876761623023	14783765711918794018762767119266178036009645020075 586566874054548327	68	223.133
4624883	9249767 527236663 10100744473 186140113478086409 2042291164552876761623023	18726103225625818377606098592720974115570166761525 651346232618245231	68	223.474
4624883	416239471 527236663 10100744473 186140113478086409 2042291164552876761623023	84267455607539998417655717431671767693928064092849 2606277142209240503	69	228.966
4624883	9249767 416239471 1988390017084087 186140113478086409 2042291164552876761623023	29102698553623088420648251423101238145046954487139 81533843596402387239113	73	240.720
4624883	9249767 527236663 1988390017084087 186140113478086409 2042291164552876761623023	36863418149277735601044246899643253464453077450005 87090759874935343297089	73	241.061
4624883	9249767 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	70622548327449105491019885675139207476323118299720 316374788898402803297519	74	245.321
4624883	9249767 416239471 527236663 10100744473 1988390017084087 2042291164552876761623023	83263042000454733651942784809797468911882023686620 726451927402153973046943	74	245.558
4624883	416239471 527236663 1988390017084087 186140113478086409 2042291164552876761623023	16588536413627676998411445798689737709893520844484 4855589045576079208609657	75	246.553
4624883	416239471 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	31780143387924636857344960650252510761951062968554 77974287867879034746440247	76	250.813
4624883	527236663 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	40254848271011040258008986593934634040275017091888 66426445980328298003660991	76	251.154
4624883	9249767 416239471 527236663 10100744473 186140113478086409 2042291164552876761623023	77945433005258842854368407246080227164696190761992 20269286302861339899712801	76	252.107
4624883	9249767 416239471 527236663 1988390017084087 186140113478086409 2042291164552876761623023	15344009669707163698656524377100897910762866262112 47265347319331113453183721199919	82	269.694
4624883	9249767 416239471 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	29395892156489350449005312463900421571303979786146 003935794768807855589476364172449	83	273.954
4624883	9249767 527236663 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	37234796712720497681420300990001897810281252402098 773438747956123340040429313739097	83	274.295
4624883	416239471 527236663 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	16755656749510900032153364093105443881502665808843 69600433535261927167374206957175761	85	279.787
4624883	9249767 416239471 527236663 10100744473 1988390017084087 186140113478086409 2042291164552876761623023	15498592086495318925771112612739166233547526861067 072745893300159110269181416163654767297687	92	302.928

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-08-27	alpertron	Manual testing	30000000	1000000000	12	-	skipped known factor: 9249767 skipped known factor: 416239471 skipped known factor: 527236663 skipped known factor: 10100744473 skipped known factor: 1988390017084087 skipped known factor: 186140113478086409	-	-	15.82	-	-	12.872%
2021-10-05	Seth_Tr	Manual testing	1000000000	241000000000		-	skipped known factor: 9249767 skipped known factor: 416239471 skipped known factor: 527236663 skipped known factor: 10100744473 skipped known factor: 1988390017084087 skipped known factor: 186140113478086409 skipped known factor: 2042291164552876761623023	-	-	2,687	-	-	23.574%
2021-12-23	Seth_Tr	Manual testing	1000000000	2510247776190		-	skipped known factor: 9249767 skipped known factor: 416239471 skipped known factor: 527236663 skipped known factor: 10100744473 skipped known factor: 1988390017084087 skipped known factor: 186140113478086409 skipped known factor: 2042291164552876761623023	-	-	26,291	-	-	27.482%
2022-03-28	Seth_Tr	Manual testing	2000000000	200483100090		-	skipped known factor: 9249767 skipped known factor: 416239471 skipped known factor: 527236663 skipped known factor: 10100744473 skipped known factor: 1988390017084087 skipped known factor: 186140113478086409 skipped known factor: 2042291164552876761623023	-	-	2,446	-	-	23.491%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-07	Will Edgington	Manual testing	?	?	10100744473	33.234	11	5.84835e-11	2.807	2.69555e-10
2008-09-07	Will Edgington	Manual testing	?	?	416239471	28.633	9	7.53136e-14	2.807	3.47127e-13
2008-09-07	Will Edgington	Manual testing	?	?	527236663	28.974	9	9.53972e-14	2.807	4.39694e-13
2014-06-10	TJAOI	Manual testing	?	?	1988390017084087	50.821	16	1.78371e-5	2.807	8.22110e-5
2015-06-15	TJAOI	Manual testing	2⁵⁷	2⁵⁸*	186140113478086409	57.369	18	0.001	2.798	0.004
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	10100744473	33.234	11	3.05914e-10	2.807	1.40998e-9
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	186140113478086409	57.369	18	0.005	2.798	0.023
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	416239471 527236663	57.607	18	0.004	2.798	0.020
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	9249767 416239471	51.774	16	7.35107e-5	2.807	0.000
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	416239471	28.633	9	7.80751e-12	2.807	3.59855e-11
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	527236663	28.974	9	7.82759e-12	2.807	3.60780e-11
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	9249767	23.141	7	2.41683e-13	2.807	1.11394e-12
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	1988390017084087	50.821	16	5.02683e-5	2.807	0.000
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	416239471 10100744473	61.867	19	0.131	2.674	0.576
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	9249767 527236663	52.115	16	0.000	2.806	0.001
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	527236663 10100744473	62.208	19	0.325	2.462	1.312
2022-04-27	J.R. Allen	Manual testing	2¹	2⁶³	9249767 10100744473	56.375	17	0.003	2.803	0.015
2022-04-27	J.R. Allen	Manual testing	2⁶³	2⁶⁴		-	-	0.425	-	-
2022-04-27	J.R. Allen	Manual testing	2⁶⁴	2⁶⁵		-	-	0.808	-	-
2022-06-21	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	1.616	-	-
2019-06-18	Seth_Tr	Manual testing	2⁶⁶	2⁶⁷		-	-	3.232	-	-
2022-12-20	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	6.463	-	-

ECM factoring results:

Total ECM effort:	0.393 GHz-days
Estimated T-Level:	0.385

Digits	B1	Complete	FacMiss
20	11000	0.077	92.596%
25	50000	0.007	99.291%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	2042291164552876761623023	2	0.393

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-03-03	MarkS	laptop64	50000	5000000	2042291164552876761623023	80.756	2	2		2	0.393

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 1000000000, B2 = 2510247776190 (P-1 stage 2)

B1 = 1000000000, B2 = 241000000000 (P-1 stage 2)

B1 = 2000000000, B2 = 200483100090 (P-1 stage 2)

B1 = 2000000000 (P-1 stage 1)

B1 = 1000000000 (P-1 stage 1)

B1 = 30000000, B2 = 1000000000 (P-1 stage 2)

B1 = 30000000 (P-1 stage 1)

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0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront