M641 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	2⁶⁷	46,355.5656	85.0746%	-	-	-	-	46,355.5656	85.0746%
Target	2⁴⁴	0.0037	77.2727%	500	80000	0.0000	0.5220%	0.0037	77.3914%
Difference	+23	+46,355.5619	+7.8019%	-500	-80000	0.0000	-0.5220%	+46,355.5619	+7.6833%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
641	35897	5	15.132	28 2² × 7	-	4	7	6.851e-12	6.138e-11	1.200e-10
641	49999	5	15.610	39 3 × 13	-	3	13	6.867e-12	5.226e-11	9.001e-11
641	1173835097	10	30.129	915628 2² × 7 × 53 × 617	-	53	617	2.651e-7	1.234e-9	1.590e-9
641	2401258891949526685926151441	28	90.956	1873056857994950613046920 2³ × 3² × 5 × 5202935716652640591797	-	9	5202935716652640591797	5.487e+11	4.179e+9	7.805e+9
641	74527630073444060622638692431221317567790318279733 4854064486587296999	69	228.789	58133876812358861640123785047754537884391823931149 3645916136183539 109 × 617 × 4357 × 24185176129 × 2217111847817 × 36999274377418301479471549107607363	-	2217111847817	36999274377418301479471549107607363	2.371e+14	2.972e+22	5.550e+22
641	hide decimal representation P79 2420161564200739329410254310444778820196576654139080232429544162649795567983079	79	260.385

exponent	prime factors	composite factor	digits	bits*
641	35897 49999	1794814103	10	30.741
641	35897 1173835097	42137158477009	14	45.260
641	49999 1173835097	58690581014903	14	45.738
641	35897 49999 1173835097	2106815786691972991	19	60.870
641	35897 2401258891949526685926151441	86197990444312159444691058277577	32	106.087
641	49999 2401258891949526685926151441	120060543338584384769621645898559	33	106.565
641	1173835097 2401258891949526685926151441	2818681964353685176478212511582924777	37	121.084
641	35897 49999 2401258891949526685926151441	4309813324225163660075108222820572423	37	121.697
641	35897 1173835097 2401258891949526685926151441	101182226474404236780038394528292250719969	42	136.216
641	49999 1173835097 2401258891949526685926151441	140931279535719905138734147366634655925223	42	136.694
641	35897 49999 1173835097 2401258891949526685926151441	5059010141493737434765139688020084243747730031	46	151.826
641	35897 74527630073444060622638692431221317567790318279733 4854064486587296999	26753183367464214441708611422035516367309690552875 929256352875024200373103	74	243.920
641	49999 74527630073444060622638692431221317567790318279733 4854064486587296999	37263069760421295870713119828686346570719481236683 945368370264878262653001	74	244.398
641	1173835097 74527630073444060622638692431221317567790318279733 4854064486587296999	87483147876441326025048969925955841135654952333551 8289762267457454971788973903	78	258.917
641	35897 49999 74527630073444060622638692431221317567790318279733 4854064486587296999	13376324151898432578709888624903537828491172179532 43586888387398334994454776897	79	259.530
641	35897 1173835097 74527630073444060622638692431221317567790318279733 4854064486587296999	31403825593206142803211828734320368292466058239175 100047596114920261122308796195991	83	274.049
641	49999 1173835097 74527630073444060622638692431221317567790318279733 4854064486587296999	43740699106741898599264234473278661009416119617252 578969823610605291134476906176097	83	274.527
641	35897 49999 1173835097 74527630073444060622638692431221317567790318279733 4854064486587296999	15701598758347139340177882248872840942550104459005 15827279758149898135854317501003354009	88	289.659
641	2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	17896013440978250715482167348387290095389134738193 74772892314480518215317882540530668602918825559	97	319.745
641	35897 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	64241319449079626593366336130505855255418376969694 09622251541290716237526602955742941083897708109142 3	101	334.876
641	49999 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	89478277603547155752339288525201611747936134777494 91926984283171143024767880914399289947733835912444 1	101	335.354
641	1173835097 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	21006968673404008703498329311164427462688244228153 72747017402938793603887933537798423810982074083174 844223	106	349.873
641	35897 49999 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	32120017311345322500417234401891622569156634301077 35117029548129945211600926211841913112538015077490 058577	106	350.486
641	35897 1173835097 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	75408715446918370042947952728286945262811990305803 43549968371329387399876515020635001954282351336372 7383073031	110	365.005
641	49999 1173835097 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	10503274267015270311662129672289102087069495231634 58219781231295367414007927889563833921252927220846 59036305777	111	365.483
641	35897 49999 1173835097 2401258891949526685926151441 74527630073444060622638692431221317567790318279733 4854064486587296999	37703603636304715837773546884616189761953367032998 65971548685980980406064258745167294627121632844673 005426268476969	115	380.615

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1998-06-20	ANONYMOUS	v4_computers	?	?	35897 49999 1173835097	60.870	19	41.23	2.80346e-8	177.4
1999-04-13	Johnson Lau	v4_computers	?	?	35897 49999 1173835097	60.870	19	41.23	2.80346e-8	177.4
2001-03-11	ANONYMOUS	v4_computers	?	?	35897 49999 1173835097	60.870	19	41.23	2.80346e-8	177.4
2001-11-10	ANONYMOUS	v4_computers	?	?	35897 49999 1173835097	60.870	19	41.23	2.80346e-8	177.4

date	userid	compid	cofactors	res64	PRP
2018-01-24	Luke_Richards	work-laptop		1A91EA6C4870D524	no

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

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TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

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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