M4 242 620 567 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷⁹	28.8579	59.4937%	-	-	-	-	28.8579	59.4937%
Target	2⁹²	236,404.3965	65.2174%	20000000	9600000000	212,689.8229	4.2600%	449,094.2194	66.6991%
Difference	-13	-236,375.5386	-5.7237%	-20000000	-9600000000	-212,689.8229	-4.2600%	-449,065.3615	-7.2055%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4242620567	76367170207	11	36.152	9 3²	2012-08-20	9	9	2.204e-12	0.0035	0.0072
4242620567	23521088423449	14	44.419	2772 2² × 3² × 7 × 11	2019-07-13	9	11	8.838e-10	0.0036	0.0072
4242620567	871637910249017	15	49.631	102724 2² × 61 × 421	2019-07-13	61	421	2.795e-8	0.0316	0.0487
4242620567	10285469892989441	17	53.191	1212160 2⁸ × 5 × 947	2019-07-13	256	947	3.098e-7	0.1152	0.2045
4242620567	50403121463385463	17	55.484	5940093 3 × 1980031	2019-10-04	3	1980031	1.220e-6	42.338	79.074
4242620567	178537507964484961921	21	67.275	21040946880 2⁶ × 3 × 5 × 37 × 592369	2021-01-12	64	592369	0.0110	12.690	23.657

exponent	prime factors	composite factor	digits	bits*
4242620567	76367170207 23521088423449	1796238963087427072983943	25	80.571
4242620567	76367170207 871637910249017	66564520650860470993436519	26	85.783
4242620567	76367170207 10285469892989441	785472229976898716900784287	27	89.344
4242620567	76367170207 50403121463385463	3849143755758452571370500841	28	91.637
4242620567	23521088423449 871637910249017	20501872360197432227531999633	29	94.050
4242620567	23521088423449 10285469892989441	241925446829727165548293802009	30	97.610
4242620567	23521088423449 50403121463385463	1185536276758129633692854921887	31	99.903
4242620567	871637910249017 10285469892989441	8965205483454496861650861629497	31	102.822
4242620567	76367170207 178537507964484961921	13634404259057441198112920687647	32	103.427
4242620567	871637910249017 50403121463385463	43933271462372680591150187839871	32	105.115
4242620567	10285469892989441 50403121463385463	518419788324341074980833571896183	33	108.676
4242620567	23521088423449 178537507964484961921	4199396511734880874073682688485529	34	111.694
4242620567	871637910249017 178537507964484961921	155620060343230901056042176872681657	36	116.906
4242620567	10285469892989441 178537507964484961921	1836342162938072611543099947740076161	37	120.466
4242620567	50403121463385463 178537507964484961921	8998847699704085029373607077299954423	37	122.759
4242620567	76367170207 23521088423449 871637910249017	1565669976093386119044283367512372534031	40	130.202
4242620567	76367170207 23521088423449 10285469892989441	18475161775450302998798219256464461545863	41	133.763
4242620567	76367170207 23521088423449 50403121463385463	90536050633761143907192813779502218620609	41	136.056
4242620567	76367170207 871637910249017 10285469892989441	684647373095699284173238681068002770795879	42	138.974
4242620567	76367170207 871637910249017 50403121463385463	3355059619517350294771211772667450317923297	43	141.267
4242620567	76367170207 10285469892989441 50403121463385463	39590252213641866194182666647735578894619881	44	144.828
4242620567	23521088423449 871637910249017 10285469892989441	210871390910723061441936983232418038884875153	45	147.241
4242620567	76367170207 23521088423449 178537507964484961921	320696028178339720569253859330883752199434503	45	147.846
4242620567	23521088423449 871637910249017 50403121463385463	1033358362797856376450584813040091590253535079	46	149.534
4242620567	76367170207 871637910249017 178537507964484961921	11884263635855125061248748967006879068645792999	47	153.058
4242620567	23521088423449 10285469892989441 50403121463385463	12193797681642539912792688617483442392970795167	47	153.095
4242620567	76367170207 10285469892989441 178537507964484961921	140236254515382318326236906625479201182230135327	48	156.618
4242620567	871637910249017 10285469892989441 50403121463385463	451874340926766397152609506133925920670401802111	48	158.307
4242620567	76367170207 50403121463385463 178537507964484961921	687216533950172284971374846265705425414583475561	48	158.911
4242620567	23521088423449 871637910249017 178537507964484961921	3660353199795603160339242795213913804842990974993	49	161.325
4242620567	23521088423449 10285469892989441 178537507964484961921	43192766390173997000458978948903862280170678299289	50	164.885
4242620567	23521088423449 50403121463385463 178537507964484961921	21166269245389041752737429854581957365496062446492 7	51	167.178
4242620567	871637910249017 10285469892989441 178537507964484961921	16006254454055014869420195408778973279012540553837 37	52	170.097
4242620567	871637910249017 50403121463385463 178537507964484961921	78437368036192423511027116237784682299269786805521 91	52	172.390
4242620567	10285469892989441 50403121463385463 178537507964484961921	92557377086903652745873080808555249030909476520247 543	53	175.951
4242620567	76367170207 23521088423449 871637910249017 10285469892989441	16103651401466020774576520446278173415698405287096 166671	56	183.393
4242620567	76367170207 23521088423449 871637910249017 50403121463385463	78914653976610754635142076942121947587761015661438 191353	56	185.686
4242620567	76367170207 23521088423449 10285469892989441 50403121463385463	93120582302371784485203018835650956122828009489842 1989569	57	189.247
4242620567	76367170207 871637910249017 10285469892989441 50403121463385463	34508364705730315573481490309135731320965753968890 268906977	59	194.459
4242620567	76367170207 23521088423449 871637910249017 178537507964484961921	27953081582652790415585406640359940050907167269825 5311633551	60	197.477
4242620567	76367170207 23521088423449 10285469892989441 178537507964484961921	32985093426296066012795583025123712068294813106924 44350082823	61	201.037
4242620567	23521088423449 871637910249017 10285469892989441 50403121463385463	10628576329226211773967781731287954128474336964772 389470100839	62	202.726
4242620567	76367170207 23521088423449 50403121463385463 178537507964484961921	16164080861098144014639289138845835969620551098396 088510829889	62	203.330
4242620567	76367170207 871637910249017 10285469892989441 178537507964484961921	12223523582693711818749279421854237944410555853623 8848178723559	63	206.249
4242620567	76367170207 871637910249017 50403121463385463 178537507964484961921	59900398354090081424704363271232763177657559207898 9450843773537	63	208.542
4242620567	76367170207 10285469892989441 50403121463385463 178537507964484961921	70683449699090530798541124789264038845067357974310 14198054551401	64	212.103
4242620567	23521088423449 871637910249017 10285469892989441 178537507964484961921	37648452634205240390008291662819852869734997549495 880244044048913	65	214.516
4242620567	23521088423449 871637910249017 50403121463385463 178537507964484961921	18449322692818942358937833147360837811868529261374 1168404952726759	66	216.809
4242620567	23521088423449 10285469892989441 50403121463385463 178537507964484961921	21770502507035732338293872221163493606198481641562 63163709085835807	67	220.370
4242620567	871637910249017 10285469892989441 50403121463385463 178537507964484961921	80676518742158948620828060177049284348535463961232 626177797612415231	68	225.581
4242620567	76367170207 23521088423449 871637910249017 10285469892989441 50403121463385463	81167429759210938314842499920749233025800803622024 4829677285309366503673	72	238.878
4242620567	76367170207 23521088423449 871637910249017 10285469892989441 178537507964484961921	28751057903465291030351142715558627576817499568470 79793642200581344504334991	76	250.668
4242620567	76367170207 23521088423449 871637910249017 50403121463385463 178537507964484961921	14089225662863717477587275916962716140250854188101 171714624075586193316469113	77	252.961
4242620567	76367170207 23521088423449 10285469892989441 50403121463385463 178537507964484961921	16625516704467179865093822438987016637993156777461 7825568056063455446024202049	78	256.522
4242620567	76367170207 871637910249017 10285469892989441 50403121463385463 178537507964484961921	61610374384906779759749443768223612528721488875031 66412841474111712162136222817	79	261.734
4242620567	23521088423449 871637910249017 10285469892989441 50403121463385463 178537507964484961921	18975995310303611253464400708346930514102677270559 74867719075610170762070945151719	82	270.0004
4242620567	76367170207 23521088423449 871637910249017 10285469892989441 50403121463385463 178537507964484961921	14491430637091896614400765073095814081764811689952 2651739416956982612967406768210686311635833	93	306.153

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-13			2⁴⁴	2⁴⁵	23521088423449	44.419	14	3.31437e-10	248,827	7.04719e-10
2019-07-13			2⁴⁹	2⁵⁰	871637910249017	49.631	15	1.02693e-8	248,827	2.18351e-8
2019-07-13			2⁵³	2⁵⁴	10285469892989441	53.191	17	2.69358e-8	248,827	5.72724e-8
TF systematically completed to 64 but no per-exponent detailed record exists
2019-10-05			2⁵⁵	2⁵⁶	50403121463385463	55.484	17	8.88882e-8	248,827	1.88999e-7
2021-01-12	slaur	nocebo-1650	2⁶⁴	2⁶⁸	178537507964484961921	67.275	21	0.013	2,335,450	0.027
2022-02-03	ramgeis	r4mg31s	2⁷⁵	2⁷⁶		-	-	1.804	-	-
2022-02-06	ramgeis	r4mg31s	2⁷⁶	2⁷⁷		-	-	3.607	-	-
2022-04-07	ramgeis	r4mg31s	2⁷⁷	2⁷⁸		-	-	7.214	-	-
2022-04-25	ramgeis	r4mg31s	2⁷⁸	2⁷⁹		-	-	14.43	-	-

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

TF factor-bounds graph:

2⁷⁹

2⁷⁸

2⁷⁷

2⁷⁶

2⁶⁸

2⁵⁶

2⁵⁴

2⁵⁰

2⁴⁵

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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