M4 291 668 659 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷³	0.4457	56.1644%	-	-	-	-	0.4457	56.1644%
Target	2⁹²	233,702.6072	65.2174%	22000000	10400000000	230,537.6663	4.3564%	464,240.2735	66.7327%
Difference	-19	-233,702.1615	-9.0530%	-22000000	-10400000000	-230,537.6663	-4.3564%	-464,239.8278	-10.5683%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4291668659	12025255582519	14	43.451	1401 3 × 467	2012-08-20	3	467	3.647e-10	0.0111	0.0185
4291668659	4268124564736727	16	51.923	497257 497257	2019-07-14	1	497257	1.360e-7	10.633	19.858
4291668659	19131306131379703	17	54.087	2228889 3 × 13 × 67 × 853	2019-07-14	67	853	1.050e-6	0.0431	0.0535
4291668659	54176514483848033	17	55.589	6311824 2⁴ × 394489	2019-10-04	16	394489	1.289e-6	8.4409	15.754
4291668659	950579321113427679281	21	69.687	110747053960 2³ × 5 × 2768676349	2020-05-04	8	2768676349	0.0504	59,200	110,569
4291668659	5350706039191215498097	22	72.180	623382938472 2³ × 3 × 7 × 17 × 47 × 929 × 4999	2020-05-04	929	4999	0.3566	0.4516	0.7420

exponent	prime factors	composite factor	digits	bits*
4291668659	12025255582519 4268124564736727	51325288748986803366258475313	29	95.374
4291668659	12025255582519 19131306131379703	230058845857253746744438211857	30	97.538
4291668659	12025255582519 54176514483848033	651486433238315018690087335127	30	99.040
4291668659	4268124564736727 19131306131379703	81654797654840071357577466452081	32	106.009
4291668659	4268124564736727 54176514483848033	231232112300326871876524521807991	33	107.511
4291668659	19131306131379703 54176514483848033	1036467483721623159284250872674199	34	109.675
4291668659	12025255582519 950579321113427679281	11430959287846367323085019962088839	35	113.139
4291668659	12025255582519 5350706039191215498097	64343607668202291368196100470966343	35	115.631
4291668659	4268124564736727 950579321113427679281	4057190951174981959682682192357653287	37	121.610
4291668659	19131306131379703 950579321113427679281	18185823994380074527018428801917033543	38	123.774
4291668659	4268124564736727 5350706039191215498097	22837479884557183168580527574974508519	38	124.103
4291668659	54176514483848033 950579321113427679281	51499074358348044985761958941866704273	38	125.276
4291668659	19131306131379703 5350706039191215498097	102365995254789306475284377030980925191	39	126.267
4291668659	54176514483848033 5350706039191215498097	289882603231056027333559623491348693201	39	127.769
4291668659	950579321113427679281 5350706039191215498097	5086270514211903185886014060287703181828257	43	141.868
4291668659	12025255582519 4268124564736727 19131306131379703	981919811338324917392848743484887485854772039	45	149.460
4291668659	12025255582519 4268124564736727 54176514483848033	2780625249297166042741644967135340731774109329	46	150.962
4291668659	12025255582519 19131306131379703 54176514483848033	12463786394722869654334935350982308995046727281	47	153.126
4291668659	4268124564736727 19131306131379703 54176514483848033	4423772327823123523972176073269193413596880606673	49	161.598
4291668659	12025255582519 4268124564736727 950579321113427679281	48788758134962523373083288619456179987751020089953	50	165.061
4291668659	12025255582519 19131306131379703 950579321113427679281	21868918151112697048868762944664494446203692743481 7	51	167.225
4291668659	12025255582519 4268124564736727 5350706039191215498097	27462653247243663455625461430196042588722307297936 1	51	167.554
4291668659	12025255582519 54176514483848033 950579321113427679281	61928953142228591585580374263654785574966532140368 7	51	168.727
4291668659	12025255582519 19131306131379703 5350706039191215498097	12309772558977685714630578499898685492676762663361 29	52	169.718
4291668659	12025255582519 54176514483848033 5350706039191215498097	34859123927793967995245505165052766462157406697533 19	52	171.220
4291668659	4268124564736727 19131306131379703 950579321113427679281	77619362120392181594825686816213887150840180623033 761	53	175.697
4291668659	4268124564736727 54176514483848033 950579321113427679281	21980446433006858781991032735476617924667969341093 4471	54	177.198
4291668659	4268124564736727 19131306131379703 5350706039191215498097	43691081894068947019776066988298390906005697579718 9857	54	178.190
4291668659	19131306131379703 54176514483848033 950579321113427679281	98524455703224319709905940053633352513891241097557 0919	54	179.363
4291668659	4268124564736727 54176514483848033 5350706039191215498097	12372550597403003385532274644313881796763987380598 93127	55	179.691
4291668659	19131306131379703 54176514483848033 5350706039191215498097	55458328245746118794256744737007254694136648881854 99303	55	181.856
4291668659	12025255582519 950579321113427679281 5350706039191215498097	61163702895228473513795351947680028510528726405949 439383	56	185.319
4291668659	4268124564736727 950579321113427679281 5350706039191215498097	21708836124603927905993747513191568338095720833043 734294839	59	193.790
4291668659	19131306131379703 950579321113427679281 5350706039191215498097	97306998274397978226377335734124816703152562694393 401667671	59	195.954
4291668659	54176514483848033 950579321113427679281 5350706039191215498097	27555640818197035552412614481875486073871170957154 1493268481	60	197.456
4291668659	12025255582519 4268124564736727 19131306131379703 54176514483848033	53196992880948087903462122246708768467520234594838 820733549287	62	205.049
4291668659	12025255582519 4268124564736727 19131306131379703 950579321113427679281	93339266764980988669281879495137438602417396545831 1025983058423959	66	219.148
4291668659	12025255582519 4268124564736727 54176514483848033 950579321113427679281	26432048617477556931115394718408827511880711851849 15128109242112449	67	220.650
4291668659	12025255582519 4268124564736727 19131306131379703 5350706039191215498097	52539642645294740934544619744430493269098991702453 65798241773309783	67	221.641
4291668659	12025255582519 19131306131379703 54176514483848033 950579321113427679281	11847817609598441784996724482543530345868800895040 157800637941164961	68	222.814
4291668659	12025255582519 4268124564736727 54176514483848033 5350706039191215498097	14878308314141925492548904246478382217702323343764 536620833269446913	68	223.142
4291668659	12025255582519 19131306131379703 54176514483848033 5350706039191215498097	66690057133432965514501326484406486200366920482355 773421826133484257	68	225.307
4291668659	4268124564736727 19131306131379703 54176514483848033 950579321113427679281	42051464961424723963290824025934386281210349625043 12967108753752442113	70	231.285
4291668659	4268124564736727 19131306131379703 54176514483848033 5350706039191215498097	23670305310490168592693307519563477238611008159433 564055817417237001281	71	233.778
4291668659	12025255582519 4268124564736727 950579321113427679281 5350706039191215498097	26105430279738351753934632212331628075236645416534 4534991487216640319441	72	237.241
4291668659	12025255582519 19131306131379703 950579321113427679281 5350706039191215498097	11701415242173709874606710668745623571903229714072 95393546518977155043249	73	239.406
4291668659	12025255582519 54176514483848033 950579321113427679281 5350706039191215498097	33136362357891232653714650731708937365487594017373 33547539046604917283639	73	240.907
4291668659	4268124564736727 19131306131379703 950579321113427679281 5350706039191215498097	41531838965575231609764065868447739863611752291075 3980793457527400862252817	75	247.877
4291668659	4268124564736727 54176514483848033 950579321113427679281 5350706039191215498097	11761090747320881022630143674497718313071814456241 79024421957452778492201687	76	249.379
4291668659	19131306131379703 54176514483848033 950579321113427679281 5350706039191215498097	52717540013926976211548829226920160206026821952545 94205547628803975533041143	76	251.543
4291668659	12025255582519 4268124564736727 19131306131379703 54176514483848033 950579321113427679281	50567961378047478682735157644419512906332892502466 967352339261892547408682642222647	83	274.736
4291668659	12025255582519 4268124564736727 19131306131379703 54176514483848033 5350706039191215498097	28464147107490103148155067816328110546959041648271 5125355118975947041910832404206839	84	277.229
4291668659	12025255582519 4268124564736727 19131306131379703 950579321113427679281 5350706039191215498097	49943097837306368417939172399303441165590551990827 02189755927236488941214021771983706023	88	291.328
4291668659	12025255582519 4268124564736727 54176514483848033 950579321113427679281 5350706039191215498097	14143012216573298216040054079396072275759477616127 415457876407096066060675872104019509553	89	292.830
4291668659	12025255582519 19131306131379703 54176514483848033 950579321113427679281 5350706039191215498097	63394189234914413169553687218038024355462987387350 114940743613034549981843693598058579217	89	294.994
4291668659	4268124564736727 19131306131379703 54176514483848033 950579321113427679281 5350706039191215498097	22500502752593306437259559791226480015201958848662 130008213230995472401353762543467454158961	92	303.465
4291668659	12025255582519 4268124564736727 19131306131379703 54176514483848033 950579321113427679281 5350706039191215498097	27057429633510678413908798020324669496066534363009 83887557315073488225779929275588371235204344892788 02759	105	346.917

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-14			2⁵¹	2⁵²	4268124564736727	51.923	16	6.60706e-8	251,363	1.40294e-7
2019-07-14			2⁵⁴	2⁵⁵	19131306131379703	54.087	17	4.91286e-7	251,363	1.04319e-6
2019-10-05			2⁵⁵	2⁵⁶	54176514483848033	55.589	17	1.70419e-7	251,363	3.61865e-7
2020-05-04	ramgeis	r4mg31s	2¹	2⁶⁹	12025255582519	43.451	14	0.028	236,757	0.059
2020-05-04	ramgeis	r4mg31s	2¹	2⁶⁹	19131306131379703	54.087	17	0.028	236,757	0.059
2020-05-04	ramgeis	r4mg31s	2¹	2⁶⁹	4268124564736727	51.923	16	0.028	236,757	0.059
2020-05-04	ramgeis	r4mg31s	2¹	2⁶⁹	54176514483848033	55.589	17	0.028	236,757	0.059
2020-05-04	ramgeis	r4mg31s	2⁶⁹	2⁷⁰	950579321113427679281	69.687	21	0.028	236,757	0.059
2023-08-11	slaur	palvi2-rtx	2⁷⁰	2⁷¹		-	-	0.056	-	-
Missing TF 71 - 72
2020-05-04	ramgeis	r4mg31s	2⁷²	2⁷³	5350706039191215498097	72.180	22	0.223	236,757	0.473
Missing TF 73 - 74
Missing TF 74 - 75
2022-02-03	ramgeis	r4mg31s	2⁷⁵	2⁷⁶		-	-	1.783	-	-
2022-02-06	ramgeis	r4mg31s	2⁷⁶	2⁷⁷		-	-	3.566	-	-
2022-04-07	ramgeis	r4mg31s	2⁷⁷	2⁷⁸		-	-	7.132	-	-
2022-04-27	ramgeis	r4mg31s	2⁷⁸	2⁷⁹		-	-	14.26	-	-

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

10⁹

10¹⁰

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