M4 460 359 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	13.3632	66.1765%	1000000000	2510247776190	24,904.6050	27.4376%	24,917.9682	75.4568%
Target	2⁶⁵	1.6357	64.6154%	26000	550000	0.0099	2.0878%	1.6455	65.3541%
Difference	+3	+11.7276	+1.5611%	+999974000	+2510247226190	+24,904.5951	+25.3498%	+24,916.3227	+10.1027%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4460359	44603591	8	25.411	5 5	-	1	5	1.003e-12	2.203e-7	3.681e-7
4460359	579846671	9	29.111	65 5 × 13	2008-09-07	5	13	1.626e-11	9.831e-7	1.840e-6
4460359	2105289449	10	30.971	236 2² × 59	2008-09-07	4	59	3.371e-11	1.265e-6	1.472e-6
4460359	6529965577	10	32.604	732 2² × 3 × 61	2008-09-07	4	61	1.486e-10	1.285e-6	1.472e-6
4460359	616323485903	12	39.165	69089 59 × 1171	2008-09-07	59	1171	3.209e-8	2.163e-5	2.172e-5
4460359	632942783537	12	39.203	70952 2³ × 7² × 181	2008-09-07	49	181	2.229e-8	1.016e-5	1.803e-5
4460359	1179606393635903767	19	60.033	132232225437 3³ × 13 × 107 × 3520841	2014-07-23	107	3520841	0.0626	0.0347	0.0648

exponent	prime factors	composite factor	digits	bits*
4460359	44603591 579846671	25863243755995561	17	54.522
4460359	44603591 2105289449	93903469519811359	17	56.382
4460359	44603591 6529965577	291259913840587007	18	58.015
4460359	579846671 2105289449	1220745078494074279	19	60.082
4460359	579846671 6529965577	3786378801568044167	19	61.716
4460359	2105289449 6529965577	13747467631591297073	20	63.576
4460359	44603591 616323485903	27490240688911677673	20	64.576
4460359	44603591 632942783537	28231521043285881367	20	64.614
4460359	579846671 616323485903	357373121559969978913	21	68.276
4460359	579846671 632942783537	367009765967403055327	21	68.314
4460359	2105289449 616323485903	1297539332042486137447	22	70.136
4460359	2105289449 632942783537	1332527764001137001113	22	70.175
4460359	6529965577 616323485903	4024571147243234761031	22	71.769
4460359	6529965577 632942783537	4133094588707172305849	22	71.808
4460359	616323485903 632942783537	390097502726671799978911	24	78.368
4460359	44603591 1179606393635903767	52614681122720854538627297	26	85.444
4460359	44603591 579846671 2105289449	54449614196412585064135889	26	85.493
4460359	44603591 579846671 6529965577	168886091436211200694803697	27	87.126
4460359	44603591 2105289449 6529965577	613186423525236893803589143	27	88.986
4460359	579846671 1179606393635903767	683990840440094385371309657	27	89.144
4460359	2105289449 1179606393635903767	2483412894494608948244454383	28	91.004
4460359	6529965577 1179606393635903767	7702789144851563469794628559	28	92.637
4460359	579846671 2105289449 6529965577	7971423340858468040351093983	28	92.687
4460359	44603591 579846671 616323485903	15940124548454182911714076583	29	93.687
4460359	44603591 579846671 632942783537	16369953494215765211955879257	29	93.725
4460359	44603591 2105289449 616323485903	57874913672836246297855772177	29	95.547
4460359	44603591 2105289449 632942783537	59435523381651238332610796783	29	95.585
4460359	44603591 6529965577 616323485903	179510325402038020798009462321	30	97.180
4460359	44603591 6529965577 632942783537	184350860599007932296615703759	30	97.218
4460359	616323485903 1179606393635903767	727019124519146604255289096601	30	99.198
4460359	632942783537 1179606393635903767	746623354265951052387643883879	30	99.236
4460359	579846671 2105289449 616323485903	752373862176399217362291388937	30	99.247
4460359	579846671 2105289449 632942783537	772661787971132930310296344823	30	99.286
4460359	579846671 6529965577 616323485903	2333634181931640503455305877801	31	100.880
4460359	579846671 6529965577 632942783537	2396561138189968055369936478679	31	100.919
4460359	2105289449 6529965577 616323485903	8472887173041007579028600661919	31	102.741
4460359	2105289449 6529965577 632942783537	8701360429324204406128900687201	31	102.779
4460359	44603591 616323485903 632942783537	17399749461741853757493154869401	32	103.779
4460359	579846671 616323485903 632942783537	226196738321474066127349413555281	33	107.479
4460359	2105289449 616323485903 632942783537	821268156571710871381439750810039	33	109.340
4460359	6529965577 616323485903 632942783537	2547323264478830493638918155946647	34	110.973
4460359	44603591 579846671 1179606393635903767	30508447694736229966498279075178287	35	114.555
4460359	44603591 2105289449 1179606393635903767	110769133030163689232435811317489353	36	116.415
4460359	44603591 6529965577 1179606393635903767	343572056576198892717260466242555369	36	118.048
4460359	44603591 579846671 2105289449 6529965577	355554106383504697358391692420292953	36	118.098
4460359	579846671 2105289449 1179606393635903767	1439998699591173226086358168193908993	37	120.115
4460359	579846671 6529965577 1179606393635903767	4466436643057115867105624423617677089	37	121.749
4460359	2105289449 6529965577 1179606393635903767	16216600714527729244112461702136773991	38	123.609
4460359	44603591 616323485903 1179606393635903767	32427663679230086805241774451550494191	38	124.609
4460359	44603591 632942783537 1179606393635903767	33302082724726585966718041250190409489	38	124.647
4460359	44603591 579846671 2105289449 616323485903	33558576027606480543947743934967872767	38	124.658
4460359	44603591 579846671 2105289449 632942783537	34463490371993133030191961253280059393	38	124.696
4460359	44603591 579846671 6529965577 616323485903	104088464594498482975154550153331783391	39	126.291
4460359	44603591 579846671 6529965577 632942783537	106895232814319815444786000390978336289	39	126.329
4460359	44603591 2105289449 6529965577 616323485903	377921194055467328282891881226564351129	39	128.151
4460359	44603591 2105289449 6529965577 632942783537	388111921733161219731371379531532338791	39	128.190
4460359	579846671 616323485903 1179606393635903767	421559619105761634238383816806687265271	39	128.309
4460359	579846671 632942783537 1179606393635903767	432927066461965366375921907600748716809	39	128.347
4460359	2105289449 616323485903 1179606393635903767	1530585692071376544422838637518827062849	40	130.169
4460359	2105289449 632942783537 1179606393635903767	1571858270113095890542152926699839892671	40	130.208
4460359	6529965577 616323485903 1179606393635903767	4747409856930704003203479520987957703777	40	131.802
4460359	6529965577 632942783537 1179606393635903767	4875424802340936475258238221864455233183	40	131.841
4460359	579846671 2105289449 6529965577 616323485903	4912975421046429191185503507602128621649	40	131.852
4460359	579846671 2105289449 6529965577 632942783537	5045454878114770704617375060363112157871	40	131.890
4460359	44603591 579846671 616323485903 632942783537	10089186801625055762651247156309609614071	41	132.890
4460359	44603591 2105289449 616323485903 632942783537	36631508957048553877351343636272898250049	41	134.750
4460359	44603591 6529965577 616323485903 632942783537	113619765033598583496598407110318460609377	42	136.383
4460359	616323485903 632942783537 1179606393635903767	460161508357781458349124049757283025457737	42	138.401
4460359	579846671 2105289449 616323485903 632942783537	476209606586413321545037010694270667530169	42	138.451
4460359	579846671 6529965577 616323485903 632942783537	1477056914868902411709813368767122116562137	43	140.084
4460359	2105289449 6529965577 616323485903 632942783537	5362852791899518322117476009489012536027503	43	141.944
4460359	44603591 579846671 2105289449 1179606393635903767	64229113037096557786506450413630325414993863	44	145.526
4460359	44603591 579846671 6529965577 1179606393635903767	199219113254332585775989625590653609247826599	45	147.159
4460359	44603591 2105289449 6529965577 1179606393635903767	723318625681102593363131399765272493154001681	45	149.019
4460359	579846671 2105289449 6529965577 1179606393635903767	9403141939255125139387957267599001985360733961	46	152.720
4460359	44603591 579846671 616323485903 1179606393635903767	18803072832709177677060468265864404845056188161	47	153.720
4460359	44603591 579846671 632942783537 1179606393635903767	19310101805299320257996773014563587058323461119	47	153.758
4460359	44603591 2105289449 616323485903 1179606393635903767	68269618199603622194429625646887017111048090759	47	155.580
4460359	44603591 2105289449 632942783537 1179606393635903767	70110523390092052845522957401972638338181181561	47	155.618
4460359	44603591 6529965577 616323485903 1179606393635903767	211751527567905636700950690331022781344568463207	48	157.213
4460359	44603591 6529965577 632942783537 1179606393635903767	217461453834870973099400077028609418658704160153	48	157.251
4460359	44603591 579846671 2105289449 6529965577 616323485903	219136346273407719654099003582150735769425741559	48	157.262
4460359	44603591 579846671 2105289449 6529965577 632942783537	225045405792386083567535208686036566176805514761	48	157.301
4460359	579846671 2105289449 616323485903 1179606393635903767	887505018227818783671066600335467572217700425679	48	159.280
4460359	579846671 2105289449 632942783537 1179606393635903767	911436785208897445634647759719809177998276648241	48	159.319
4460359	579846671 6529965577 616323485903 1179606393635903767	2752769801413854993943910935861541905623897576367	49	160.913
4460359	579846671 6529965577 632942783537 1179606393635903767	2826998841348225022200963298273063780189691283793	49	160.952
4460359	2105289449 6529965577 616323485903 1179606393635903767	9994671881874810662086347635623521409819985548873	49	162.774
4460359	2105289449 6529965577 632942783537 1179606393635903767	10264180395761284062140418478819758710553004586167	50	162.812
4460359	44603591 616323485903 632942783537 1179606393635903767	20524855712733565835587864323637501338759488933567	50	163.812
4460359	44603591 579846671 2105289449 616323485903 632942783537	21240658522451285951146318904869874897812638236879	50	163.861
4460359	44603591 579846671 6529965577 616323485903 632942783537	65882042514534341790818126186820889134191884833967	50	165.494
4460359	44603591 2105289449 6529965577 616323485903 632942783537	23920249252309422833673415387956003415084350856327 3	51	167.355
4460359	579846671 616323485903 632942783537 1179606393635903767	26682311874359825556926473601779892031647705064352 7	51	167.512
4460359	2105289449 616323485903 632942783537 1179606393635903767	96877316838156262131024382034615896440297210151691 3	51	169.373
4460359	6529965577 616323485903 632942783537 1179606393635903767	30048388094367107231086392930178933612854372783192 49	52	171.006
4460359	579846671 2105289449 6529965577 616323485903 632942783537	31096323384459914655833241350245683300928151789925 13	52	171.055
4460359	44603591 579846671 2105289449 6529965577 1179606393635903767	41941389717348244637107843628946343656321816505625 3951	54	178.131
4460359	44603591 579846671 2105289449 616323485903 1179606393635903767	39585910843481173848981733175123658384961272747512 013289	56	184.691
4460359	44603591 579846671 2105289449 632942783537 1179606393635903767	40653353589812511226032564103608643173481330322992 433431	56	184.729
4460359	44603591 579846671 6529965577 616323485903 1179606393635903767	12278341833941480988318168032359544778780892732216 4933897	57	186.324
4460359	44603591 579846671 6529965577 632942783537 1179606393635903767	12609430007697011746621768676218274316849489243856 7900663	57	186.362
4460359	44603591 2105289449 6529965577 616323485903 1179606393635903767	44579825679834436797413865662316857894335401904784 1802943	57	188.184
4460359	44603591 2105289449 6529965577 632942783537 1179606393635903767	45781930432275444794252981039811868024419360038251 7125697	57	188.223
4460359	579846671 2105289449 6529965577 616323485903 1179606393635903767	57953772184424142011660745910650198987813453297821 16851783	58	191.885
4460359	579846671 2105289449 6529965577 632942783537 1179606393635903767	59516508330256430741174787894905210973374122783366 67600057	58	191.923
4460359	44603591 579846671 616323485903 632942783537 1179606393635903767	11901269257783890459724956456060871762037732927790 165105457	59	192.923
4460359	44603591 2105289449 616323485903 632942783537 1179606393635903767	43210762174265351101809999472997552869213726800470 867034583	59	194.783
4460359	44603591 6529965577 616323485903 632942783537 1179606393635903767	13402660127704198547885199559229927116839087861830 4949823159	60	196.416
4460359	44603591 579846671 2105289449 6529965577 616323485903 632942783537	13870076898441857892036916613906462074701292028237 3841914183	60	196.466
4460359	579846671 2105289449 616323485903 632942783537 1179606393635903767	56173989664017154374477853742604234314587087557045 6053246623	60	198.484
4460359	579846671 6529965577 616323485903 632942783537 1179606393635903767	17423457805434800979845472653962190089743610866127 17007870079	61	200.117
4460359	2105289449 6529965577 616323485903 632942783537 1179606393635903767	63260554414528287186257787843373902617213761793967 91373303801	61	201.977
4460359	44603591 579846671 2105289449 6529965577 616323485903 1179606393635903767	25849463514212310008140331413535640197210452551936 1659171136552753	66	217.295
4460359	44603591 579846671 2105289449 6529965577 632942783537 1179606393635903767	26546499953108507618991870987761030140250912626130 6881935894004687	66	217.334
4460359	44603591 579846671 2105289449 616323485903 632942783537 1179606393635903767	25055616598120485707030710268929385422360077872756 513482486594423193	68	223.894
4460359	44603591 579846671 6529965577 616323485903 632942783537 1179606393635903767	77714878575937144007142670545901405622717731393589 204817780784853689	68	225.527
4460359	44603591 2105289449 6529965577 616323485903 632942783537 1179606393635903767	28216478955388641795863831895306216124120321906295 7109127171058549391	69	227.388
4460359	579846671 2105289449 6529965577 616323485903 632942783537 1179606393635903767	36681421882878581360283535228804626840869587071619 28265891727281496471	70	231.088
4460359	44603591 579846671 2105289449 6529965577 616323485903 632942783537 1179606393635903767	16361231389623661456543104493796929945177691460813 9419143173853947410460427361	78	256.499

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: 44603591 skipped known factor: 579846671 skipped known factor: 2105289449 skipped known factor: 6529965577 skipped known factor: 616323485903 skipped known factor: 632942783537 skipped known factor: 1179606393635903767	-	-	14.98	-	-	12.838%
2021-09-30	Seth_Tr	Manual testing	1000000000	241000000000		-	skipped known factor: 44603591 skipped known factor: 579846671 skipped known factor: 2105289449 skipped known factor: 6529965577 skipped known factor: 616323485903 skipped known factor: 632942783537 skipped known factor: 1179606393635903767	-	-	2,546	-	-	23.532%
2021-12-21	Seth_Tr	Manual testing	1000000000	2510247776190		-	skipped known factor: 44603591 skipped known factor: 579846671 skipped known factor: 2105289449 skipped known factor: 6529965577 skipped known factor: 616323485903 skipped known factor: 632942783537 skipped known factor: 1179606393635903767	-	-	24,905	-	-	27.438%
2022-03-23	Seth_Tr	Manual testing	2000000000	200483100090		-	skipped known factor: 44603591 skipped known factor: 579846671 skipped known factor: 2105289449 skipped known factor: 6529965577 skipped known factor: 616323485903 skipped known factor: 632942783537 skipped known factor: 1179606393635903767	-	-	2,317	-	-	23.449%

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	?	?	2105289449	30.971	10	1.63819e-12	2.758	8.12210e-12
2008-09-07	Will Edgington	Manual testing	?	?	579846671	29.111	9	2.25598e-13	2.758	1.11851e-12
2008-09-07	Will Edgington	Manual testing	?	?	616323485903	39.165	12	1.56697e-8	2.758	7.76902e-8
2008-09-07	Will Edgington	Manual testing	?	?	632942783537	39.203	12	5.87127e-9	2.758	2.91096e-8
2008-09-07	Will Edgington	Manual testing	?	?	6529965577	32.604	10	2.03246e-11	2.758	1.00769e-10
2014-07-23	pdazzl	Manual testing	2⁶⁰	2⁶¹	1179606393635903767	60.033	19	0.028	2.689	0.136
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	579846671 2105289449	60.082	19	0.043	2.689	0.208
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	2105289449	30.971	10	3.37078e-11	2.758	1.67123e-10
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	44603591	25.411	8	1.00326e-12	2.758	4.97414e-12
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	579846671	29.111	9	1.62604e-11	2.758	8.06187e-11
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	6529965577	32.604	10	1.48603e-10	2.758	7.36771e-10
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	1179606393635903767	60.033	19	0.063	2.689	0.303
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	44603591 579846671	54.522	17	0.001	2.757	0.005
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	44603591 6529965577	58.015	18	0.013	2.741	0.062
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	616323485903	39.165	12	3.20894e-8	2.758	1.59098e-7
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	632942783537	39.203	12	2.22909e-8	2.758	1.10518e-7
2022-12-20	LordJulius	Manual testing	2¹	2⁶¹	44603591 2105289449	56.382	17	0.004	2.754	0.020
2022-07-07	LordJulius	Manual testing	2⁶¹	2⁶³		-	-	0.289	-	-
2022-07-07	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.440	-	-
2022-07-07	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.838	-	-
2022-07-07	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	1.675	-	-
2019-06-18	Seth_Tr	Manual testing	2⁶⁶	2⁶⁷		-	-	3.351	-	-
2022-12-20	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	6.701	-	-

Digits	B1	Complete	FacMiss
20	11000	0.045	95.595%
25	50000	0.002	99.807%

B1	B2	factor	curves	GHz-days
20000	3000000		5	0.458

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-30	pdazzl	PrimeCrunch_	20000	3000000						5	0.458

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)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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

Total ECM effort:	0.458 GHz-days
Estimated T-Level:	0.225