M4 007 072 801 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	0.2387	55.5556%	-	-	-	-	0.2387	55.5556%
Target	2⁹²	250,300.9565	65.2174%	20000000	9600000000	197,146.2306	4.2367%	447,447.1871	66.6910%
Difference	-20	-250,300.7178	-9.6618%	-20000000	-9600000000	-197,146.2306	-4.2367%	-447,446.9484	-11.1355%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4007072801	24042436807	11	34.485	3 3	2012-08-20	1	3	5.752e-13	0.0004	0.0007
4007072801	192339494449	12	37.485	24 2³ × 3	2012-08-20	8	8	4.830e-12	0.0029	0.0059
4007072801	63696429244697	14	45.856	7948 2² × 1987	2019-06-28	4	1987	2.250e-9	0.0408	0.0734
4007072801	102228441299113	15	46.539	12756 2² × 3 × 1063	2019-06-28	4	1063	3.208e-9	0.0224	0.0393
4007072801	15927940541128601417	20	63.788	1987478308 2² × 151 × 569 × 5783	2019-12-23	569	5783	0.0005	0.3103	0.4213
4007072801	48887574731078362673	20	65.406	6100160536 2³ × 617² × 2003	2020-09-07	380689	380689	0.0032	138.49	281.84

exponent	prime factors	composite factor	digits	bits*
4007072801	24042436807 192339494449	4624310140780409784343	22	71.970
4007072801	24042436807 63696429244697	1531417374947174362362479	25	80.341
4007072801	24042436807 102228441299113	2457820839812033287652191	25	81.024
4007072801	192339494449 63696429244697	12251338999131519894186953	26	83.341
4007072801	192339494449 102228441299113	19662566717780667212123737	26	84.024
4007072801	63696429244697 102228441299113	6511586678004611868046053761	28	92.395
4007072801	24042436807 15927940541128601417	382946503925737784028513155519	30	98.273
4007072801	24042436807 48887574731078362673	1175376426119441553530630105111	31	99.891
4007072801	192339494449 15927940541128601417	3063572031294406688440205034233	31	101.273
4007072801	192339494449 48887574731078362673	9403011408613319405127492302177	31	102.891
4007072801	63696429244697 15927940541128601417	1014552937691738806619785273935649	34	109.644
4007072801	102228441299113 15927940541128601417	1628288534624527382448900252643121	34	110.327
4007072801	63696429244697 48887574731078362673	3113963944802969895407676827995081	34	111.262
4007072801	102228441299113 48887574731078362673	4997700563652044405430425087209049	34	111.945
4007072801	24042436807 192339494449 63696429244697	294552043687754194937853144146379071	36	117.826
4007072801	24042436807 192339494449 102228441299113	472736017775663094733781811087187759	36	118.509
4007072801	24042436807 63696429244697 102228441299113	156554411219228937692059470114567181127	39	126.880
4007072801	15927940541128601417 48887574731078362673	778678383516597236851287897470787707641	39	129.194
4007072801	192339494449 63696429244697 102228441299113	1252435289708250394790443477840215072689	40	129.880
4007072801	24042436807 192339494449 15927940541128601417	73655736966088399219381766933670174214031	41	135.758
4007072801	24042436807 192339494449 48887574731078362673	226071307587085787296284565453469471028839	42	137.376
4007072801	24042436807 63696429244697 15927940541128601417	24392324891809838704105780724507025267032743	44	144.129
4007072801	24042436807 102228441299113 15927940541128601417	39148024197272831064768805230818571365754647	44	144.812
4007072801	24042436807 63696429244697 48887574731078362673	74867281362201839776262469639749943449346367	44	145.747
4007072801	24042436807 102228441299113 48887574731078362673	120156899981912558753918882794371024581066543	45	146.430
4007072801	192339494449 63696429244697 15927940541128601417	195138599127376839069004074149717705218712401	45	147.129
4007072801	192339494449 102228441299113 15927940541128601417	313184193566784628775778750169406269157535329	45	147.812
4007072801	192339494449 63696429244697 48887574731078362673	598938250875816970596478967850145809798805369	45	148.747
4007072801	192339494449 102228441299113 48887574731078362673	961255199820316566085786751516955221038069001	45	149.430
4007072801	63696429244697 102228441299113 15927940541128601417	103716165435662569631730197973663164235922779337	48	156.183
4007072801	63696429244697 102228441299113 48887574731078362673	318335680338844761999310595882838725350813663153	48	157.801
4007072801	24042436807 15927940541128601417 48887574731078362673	18721325828674699502667900931505308589471133542287	50	163.679
4007072801	24042436807 192339494449 63696429244697 102228441299113	30111596307667347583282039323478675728414194064023	50	164.365
4007072801	192339494449 15927940541128601417 48887574731078362673	14977060662394684733672702679408345343347355438480 9	51	166.679
4007072801	63696429244697 15927940541128601417 48887574731078362673	49599032560039970630055037185606903441237053685629 777	53	175.051
4007072801	102228441299113 15927940541128601417 48887574731078362673	79603077420214660477014859906905747270282941276622 433	53	175.733
4007072801	24042436807 192339494449 63696429244697 15927940541128601417	46916074381264629969919391651701301846099470149497 43607	55	181.614
4007072801	24042436807 192339494449 102228441299113 15927940541128601417	75297111827806753715206143731613907709296762753524 54503	55	182.297
4007072801	24042436807 192339494449 63696429244697 48887574731078362673	14399935047976941920064022681241715277823619468274 816783	56	183.232
4007072801	24042436807 192339494449 102228441299113 48887574731078362673	23110917397080118794852767314224207290856490897848 119807	56	183.915
4007072801	24042436807 63696429244697 102228441299113 15927940541128601417	24935893533512749545461105468553960764458358615416 27856959	58	190.668
4007072801	24042436807 63696429244697 102228441299113 48887574731078362673	76535654779600275377513799790786644300193664023881 86872471	58	192.286
4007072801	192339494449 63696429244697 102228441299113 15927940541128601417	19948714826084186478319246387421057225751044742681 563400313	59	193.668
4007072801	192339494449 63696429244697 102228441299113 48887574731078362673	61228523821451870539639126498634141268975060141649 799337697	59	195.286
4007072801	24042436807 192339494449 15927940541128601417 48887574731078362673	36008503453022976900201357919057472306586151098024 48143264863	61	201.164
4007072801	24042436807 63696429244697 15927940541128601417 48887574731078362673	11924816060130964272672342064669891059288927011436 20357520002039	64	209.535
4007072801	24042436807 102228441299113 15927940541128601417 48887574731078362673	19138519585182395588935902453117393316508903646532 86751801091431	64	210.218
4007072801	192339494449 63696429244697 15927940541128601417 48887574731078362673	95398528477575781902175938573255275871318932850603 03484360607873	64	212.535
4007072801	192339494449 102228441299113 15927940541128601417 48887574731078362673	15310815667588694929207219339154810633858782686334 313425472374417	65	213.218
4007072801	63696429244697 102228441299113 15927940541128601417 48887574731078362673	50704317885568405213275499307492737153336368187339 75044957436487801	67	221.589
4007072801	24042436807 192339494449 63696429244697 102228441299113 15927940541128601417	47961571558699304866699435684143380805125022634015 1063775989346520591	69	228.153
4007072801	24042436807 192339494449 63696429244697 102228441299113 48887574731078362673	14720829147631507484412186874280905132720436731146 39769300810575413479	70	229.771
4007072801	24042436807 192339494449 63696429244697 15927940541128601417 48887574731078362673	22936130924029056529366792589434037104155373068032 9983706981827586709181511	75	247.020
4007072801	24042436807 192339494449 102228441299113 15927940541128601417 48887574731078362673	36810931815162671590306590956981783545460139729813 8433007651266044965966519	75	247.703
4007072801	24042436807 63696429244697 102228441299113 15927940541128601417 48887574731078362673	12190553586058182396159455495817663946205507013590 0108762304150762671568891407	78	256.074
4007072801	192339494449 63696429244697 102228441299113 15927940541128601417 48887574731078362673	97524428684916156917285855601612026618119564507986 5412367295380786670495716649	78	259.074
4007072801	24042436807 192339494449 63696429244697 102228441299113 15927940541128601417 48887574731078362673	23447249137958748167771411092566841172973415508536 264644905695466066527341198897760299743	89	293.559

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2³⁴	2³⁵	24042436807	34.485	11	4.07970e-15	2,043,920	0.245
2019-06-28			2³⁷	2³⁸	192339494449	37.485	12	2.61101e-13	2,043,920	0.245
2019-06-28			2⁴⁵	2⁴⁶	63696429244697	45.856	14	1.08061e-9	236,701	2.31416e-9
2019-06-28			2⁴⁶	2⁴⁷	102228441299113	46.539	15	8.68944e-10	236,701	1.86087e-9
2019-12-24	slaur	palvi2-rtx	2¹	2⁶⁴	15927940541128601417	63.788	20	0.001	221,057	0.002
2020-09-07	slaur	nocebo-1650	2⁶⁴	2⁶⁸	48887574731078362673	65.406	20	0.014	2,043,920	0.029
2023-07-27	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-
2022-01-27	ramgeis	r4mg31s	2⁷¹	2⁷²	192339494449	37.485	12	0.119	2,043,920	0.245
2022-01-27	ramgeis	r4mg31s	2⁷¹	2⁷²	24042436807	34.485	11	0.119	2,043,920	0.245
Missing TF 72 - 73
Missing TF 73 - 74
Missing TF 74 - 75
2022-02-04	ramgeis	r4mg31s	2⁷⁵	2⁷⁶		-	-	1.910	-	-
2022-02-09	ramgeis	r4mg31s	2⁷⁶	2⁷⁷		-	-	3.819	-	-
2022-04-07	ramgeis	r4mg31s	2⁷⁷	2⁷⁸		-	-	7.639	-	-
2022-04-21	ramgeis	r4mg31s	2⁷⁸	2⁷⁹		-	-	15.28	-	-

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

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

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