M4 255 972 411 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	0.1123	54.9296%	-	-	-	-	0.1123	54.9296%
Target	2⁹²	235,662.7482	65.2174%	20000000	9600000000	212,689.8229	4.2613%	448,352.5712	66.6996%
Difference	-21	-235,662.6359	-10.2878%	-20000000	-9600000000	-212,689.8229	-4.2613%	-448,352.4588	-11.7700%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4255972411	74300766351239	14	46.078	8729 7 × 29 × 43	2012-08-20	29	43	3.928e-9	0.0117	0.0232
4255972411	580114575453767	15	49.043	68153 17 × 19 × 211	2019-07-13	19	211	2.236e-8	0.0116	0.0152
4255972411	695264165005783	15	49.305	81681 3 × 19 × 1433	2019-07-13	19	1433	2.605e-8	0.0377	0.0574
4255972411	313517739806382961	18	58.121	36832680 2³ × 3² × 5 × 101 × 1013	2020-01-14	101	1013	1.676e-5	0.0591	0.0807
4255972411	1898576601237370399	19	60.720	223048509 3 × 499 × 148997	2020-01-14	499	148997	6.779e-5	3.3710	5.9504
4255972411	1782164177236313486417	22	70.594	209372148728 2³ × 569 × 45995639	2023-07-09	569	45995639	0.0572	983.70	1,836.9

exponent	prime factors	composite factor	digits	bits*
4255972411	74300766351239 580114575453767	43102957527738549053327667313	29	95.122
4255972411	74300766351239 695264165005783	51658660276483961382244215137	29	95.383
4255972411	580114575453767 695264165005783	403332875910547611949404134561	30	98.348
4255972411	74300766351239 313517739806382961	23294608332322603103502270838679	32	104.200
4255972411	74300766351239 1898576601237370399	141065696448467315313438375574361	33	106.798
4255972411	580114575453767 313517739806382961	181876210525004437946479552064087	33	107.165
4255972411	695264165005783 313517739806382961	217977649580985184139192877663463	33	107.426
4255972411	580114575453767 1898576601237370399	1101391958993273011747143278843033	34	109.763
4255972411	695264165005783 1898576601237370399	1320012275358817765741407548017417	34	110.024
4255972411	74300766351239 1782164177236313486417	132416164132383418505219208077620663	36	116.673
4255972411	313517739806382961 1898576601237370399	595237444869224791191114867199371439	36	118.841
4255972411	580114575453767 1782164177236313486417	1033859415066355964951556489565982839	37	119.637
4255972411	695264165005783 1782164177236313486417	1239074888589423759248911947696949511	37	119.899
4255972411	313517739806382961 1782164177236313486417	558740084811031099184612317064173740737	39	128.715
4255972411	1898576601237370399 1782164177236313486417	3383575206464314654646137978176884370383	40	131.314
4255972411	74300766351239 580114575453767 695264165005783	29967941774802871049256313114946132545071079	44	144.426
4255972411	74300766351239 580114575453767 313517739806382961	13513541823067110201414931501582076578079853793	47	153.243
4255972411	74300766351239 695264165005783 313517739806382961	16195906411309029877368736524005558270295080657	47	153.504
4255972411	74300766351239 580114575453767 1898576601237370399	81834266606292583904777963302843803780826067887	47	155.841
4255972411	74300766351239 695264165005783 1898576601237370399	98077923652202876433750931957122110199511529663	47	156.103
4255972411	580114575453767 695264165005783 313517739806382961	126452011645083212295619521120055965791941615121	48	156.469
4255972411	580114575453767 695264165005783 1898576601237370399	765758360713541550828270860727097234393994259839	48	159.068
4255972411	74300766351239 313517739806382961 1898576601237370399	44226598314736776710111533460077567476462298862921	50	164.919
4255972411	74300766351239 580114575453767 1782164177236313486417	76816546838873936113061602840643282319220920387521	50	165.716
4255972411	74300766351239 695264165005783 1782164177236313486417	92064213788770269604054354155263868127754275294129	50	165.977
4255972411	580114575453767 313517739806382961 1898576601237370399	34530591762449537996727087078596342254708060476071 3	51	167.884
4255972411	695264165005783 313517739806382961 1898576601237370399	41384726508717736678846856052991508933819740003173 7	51	168.146
4255972411	580114575453767 695264165005783 1782164177236313486417	71880540294947720856214192471373912214082451375793 7	51	168.942
4255972411	74300766351239 313517739806382961 1782164177236313486417	41514816492615884568180422817407025727147825064723 143	53	174.794
4255972411	74300766351239 1898576601237370399 1782164177236313486417	25140223084735030244855292570348864952975530274695 4537	54	177.392
4255972411	580114575453767 313517739806382961 1782164177236313486417	32413326708915307347971136963715237461106386758800 6279	54	177.759
4255972411	695264165005783 313517739806382961 1782164177236313486417	38847195852140191387408385631892262029801890634768 2071	54	178.020
4255972411	580114575453767 1898576601237370399 1782164177236313486417	19628612944139379192580087764962566432922669223205 82761	55	180.357
4255972411	695264165005783 1898576601237370399 1782164177236313486417	23524785906566815460787936235197583500036841475089 24889	55	180.618
4255972411	313517739806382961 1898576601237370399 1782164177236313486417	10608108511956075084641034160492932799237461243810 64244063	58	189.435
4255972411	74300766351239 580114575453767 695264165005783 313517739806382961	93954813718854809255125312672744411998983959995632 63639484919	61	202.548
4255972411	74300766351239 580114575453767 695264165005783 1898576601237370399	56896433040884644658032080178873670322880224816952 886505590521	62	205.146
4255972411	74300766351239 580114575453767 313517739806382961 1898576601237370399	25656494305117812295539413393208357727220766569478 267141706073407	65	213.963
4255972411	74300766351239 695264165005783 313517739806382961 1898576601237370399	30749168948341634672201265147704965784753345945625 600000289272143	65	214.224
4255972411	74300766351239 580114575453767 695264165005783 1782164177236313486417	53407792296557306822280328865103314993759836765413 319067566033943	65	215.020
4255972411	580114575453767 695264165005783 313517739806382961 1898576601237370399	24007883048875046802092476608817648014349339632924 1915886976203279	66	217.189
4255972411	74300766351239 580114575453767 313517739806382961 1782164177236313486417	24083350144654908249923876598889905252304760342726 900730253451429681	68	223.837
4255972411	74300766351239 695264165005783 313517739806382961 1782164177236313486417	28863764224106891833809144899949230592472015254970 902846419888935969	68	224.098
4255972411	74300766351239 580114575453767 1898576601237370399 1782164177236313486417	14584209841614054666597334455065840937697288133821 4338237654094390879	69	226.436
4255972411	74300766351239 695264165005783 1898576601237370399 1782164177236313486417	17479096211067410959538083214660305507162623807891 4127376052243087471	69	226.697
4255972411	580114575453767 695264165005783 313517739806382961 1782164177236313486417	22535824529333645487363174207571426956234017184262 1531929953475311457	69	227.063
4255972411	580114575453767 695264165005783 1898576601237370399 1782164177236313486417	13647071188828769386603526945404105654787786648724 99015251839495106863	70	229.662
4255972411	74300766351239 313517739806382961 1898576601237370399 1782164177236313486417	78819059197543796277328352981102404206724480978181 014210572476278444057	71	235.514
4255972411	580114575453767 313517739806382961 1898576601237370399 1782164177236313486417	61539183657808904915393948825071476492375967910437 6729614325897060735321	72	238.478
4255972411	695264165005783 313517739806382961 1898576601237370399 1782164177236313486417	73754377068558797519248949225460740116130767587758 5797297113596918416329	72	238.740
4255972411	74300766351239 580114575453767 695264165005783 313517739806382961 1898576601237370399	17838041090023362498851439785923929933890367972324 739582996502621627046377512681	80	263.267
4255972411	74300766351239 580114575453767 695264165005783 313517739806382961 1782164177236313486417	16744290328865398011421474711499539680544163847285 210888319545813548272390982845223	83	273.142
4255972411	74300766351239 580114575453767 695264165005783 1898576601237370399 1782164177236313486417	10139878477798918455550203209264014304724567815268 4708638609039013534025178897453257	84	275.740
4255972411	74300766351239 580114575453767 313517739806382961 1898576601237370399 1782164177236313486417	45724085064048448456200775430456658995038079074425 810891861476858255996631271499412719	86	284.557
4255972411	74300766351239 695264165005783 313517739806382961 1898576601237370399 1782164177236313486417	54800067379521668189026201540103213705570498855880 893737463627696894455419635646981631	86	284.818
4255972411	580114575453767 695264165005783 313517739806382961 1898576601237370399 1782164177236313486417	42785989140984035104658878373041774374844294543872 6536984995677485167743903774197361343	87	287.783
4255972411	74300766351239 580114575453767 695264165005783 313517739806382961 1898576601237370399 1782164177236313486417	31790317822709038419371363379431173669189220049852 93947546537946790981377475508635600070899573875397 7	101	333.861

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-14			2⁴⁹	2⁵⁰	580114575453767	49.043	15	4.74093e-9	249,517	1.00767e-8
2019-07-14			2⁴⁹	2⁵⁰	695264165005783	49.305	15	8.43299e-9	249,517	1.79240e-8
2020-01-14	slaur	palvi2-rtx	2¹	2⁶⁴	1898576601237370399	60.720	19	0.001	234,788	0.002
2020-01-14	slaur	palvi2-rtx	2¹	2⁶⁴	313517739806382961	58.121	18	0.001	234,788	0.002
Missing TF 64 - 65
Missing TF 65 - 66
Missing TF 66 - 67
Missing TF 67 - 68
2023-07-09	slaur	palvi2-rtx	2⁶⁸	2⁷¹	1782164177236313486417	70.594	22	0.098	2,336,920	0.220

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

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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