M26 297 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	1,129.9356	77.6119%	5000000000	1516930270635780	54,262.8568	32.9469%	55,392.7925	84.9881%
Target	2⁴⁴	0.0001	65.9091%	500	50000	0.0000	1.6916%	0.0001	66.4858%
Difference	+23	+1,129.9356	+11.7028%	+4999999500	+1516930270585780	+54,262.8568	+31.2553%	+55,392.7924	+18.5023%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
26297	999287	6	19.931	19 19	-	1	19	2.667e-12	1.300e-9	1.336e-9
26297	56380769	8	25.749	1072 2⁴ × 67	2008-08-26	16	67	2.094e-10	1.233e-8	2.138e-8
26297	65935414793	11	35.940	1253668 2² × 13 × 24109	2008-08-26	13	24109	2.362e-7	8.704e-7	1.610e-6
26297	856402370121073	15	49.605	16283271288 2³ × 3 × 678469637	2008-08-29	8	678469637	0.0045	0.0243	0.0453
26297	9670573047192145504551897475079153	34	112.897	183872172627907090248923783608 2³ × 8891557 × 2584926529570511248043	2023-05-07	8891557	2584926529570511248043	5.848e+12	9.246e+10	1.727e+11
26297	26619872032118558647570689885108103810166580325415 52263	55	180.797	50613895182185341764404095305753705384961365032923 13 × 179 × 419 × 4068563 × 75694573 × 340924169 × 1117379321 × 442481528921	2023-04-05	1117379321	442481528921	6.807e+12	16.521	29.561

exponent	prime factors	composite factor	digits	bits*
26297	999287 56380769	56340569511703	14	45.679
26297	999287 65935414793	65888402842252591	17	55.871
26297	56380769 65935414793	3717489390363315817	19	61.689
26297	999287 856402370121073	855791755231176674951	21	69.536
26297	56380769 856402370121073	48284624200848718845137	23	75.354
26297	999287 56380769 65935414793	3714838820427986772822479	25	81.620
26297	65935414793 856402370121073	56467245503641257885232889	26	85.546
26297	999287 56380769 856402370121073	48250197263793513708600417319	29	95.285
26297	999287 65935414793 856402370121073	56426984357597161668360717950143	32	105.476
26297	56380769 65935414793 856402370121073	3183666724807086419696744025911641	34	111.294
26297	999287 56380769 65935414793 856402370121073	3181396770432298967079500247421165999967	40	131.225
26297	999287 9670573047192145504551897475079153	9663677928609497504807151972179421563911	40	132.828
26297	56380769 9670573047192145504551897475079153	545234345071366454306528980054120982008657	42	138.646
26297	65935414793 9670573047192145504551897475079153	637633245152620077814239629614553333562110329	45	148.838
26297	999287 56380769 9670573047192145504551897475079153	544845592983330570024608424891342393748484827559	48	158.576
26297	856402370121073 9670573047192145504551897475079153	8281901678044320546025785418327414449792868291169	49	162.503
26297	999287 65935414793 9670573047192145504551897475079153	63717861264882625969875807675863815703528054433542 3	51	168.768
26297	56380769 65935414793 9670573047192145504551897475079153	35950252701670242352006669467943690537745289611863 001	53	174.586
26297	999287 856402370121073 9670573047192145504551897475079153	82759966821478749454764690333241470032901659760773 96503	55	182.433
26297	56380769 856402370121073 9670573047192145504551897475079153	46693998539052920846743367571428632046103380497182 4128961	57	188.251
26297	999287 56380769 65935414793 9670573047192145504551897475079153	35924620171493951469209688712613046686391877220369 742680287	59	194.517
26297	65935414793 856402370121073 9670573047192145504551897475079153	54607062241669501624006240923102909603031464371144 5113863017	60	198.443
26297	999287 26619872032118558647570689885108103810166580325415 52263	26600892063359658115254971983220021732149931553643 50136236481	61	200.727
26297	56380769 26619872032118558647570689885108103810166580325415 52263	15008488558524370357216354775829165409490218168471 9741041630247	63	206.545
26297	999287 56380769 856402370121073 9670573047192145504551897475079153	46660705718094576114179639550350203431454508786887 9218357050807	63	208.182
26297	65935414793 26619872032118558647570689885108103810166580325415 52263	17551923041743169829808705393637723383690372041826 2540468992826559	66	216.737
26297	999287 65935414793 856402370121073 9670573047192145504551897475079153	54568127406291191269348324473324737228484502937047 8853496832668879	66	218.373
26297	56380769 65935414793 856402370121073 9670573047192145504551897475079153	30787881620161903454082207240438119095563986924412 289620889459120073	68	224.192
26297	999287 56380769 26619872032118558647570689885108103810166580325415 52263	14997787506182142481151659514873999214553251642917 8535866267564633889	69	226.476
26297	856402370121073 26619872032118558647570689885108103810166580325415 52263	22797321500625997513308223811278933945692382938089 52319485966667138199	70	230.402
26297	999287 65935414793 26619872032118558647570689885108103810166580325415 52263	17539408520614406949720051786692059686917800806560 4319277638434673663433	72	236.667
26297	56380769 65935414793 26619872032118558647570689885108103810166580325415 52263	98959091852229901550221393298774255178174523361426 43675535436216880043871	73	242.486
26297	999287 56380769 65935414793 856402370121073 9670573047192145504551897475079153	30765929860566728016919446626675686716648849801735 183658389764935720387951	74	244.122
26297	999287 856402370121073 26619872032118558647570689885108103810166580325415 52263	22781067010396051177081235047701492065789104269054 66536482173172904529464113	76	250.332
26297	56380769 856402370121073 26619872032118558647570689885108103810166580325415 52263	12853305173455277211924053925040171693583407874919 6670856952485401618688895031	78	256.151
26297	999287 56380769 65935414793 26619872032118558647570689885108103810166580325415 52263	98888534019739261630416085445352229134232484926269 73970594779450857408399719977	79	262.416
26297	65935414793 856402370121073 26619872032118558647570689885108103810166580325415 52263	15031508493131523551993642746547558615320754046035 2875082066668740328913319977807	81	266.342
26297	999287 56380769 856402370121073 26619872032118558647570689885108103810166580325415 52263	12844140766866603599271952074591618051165882905104 8493630631478279527334769848842897	84	276.081
26297	999287 65935414793 856402370121073 26619872032118558647570689885108103810166580325415 52263	15020791027575920775701071279269270206028030348400 4643482133155205517058804780662823609	87	286.273
26297	56380769 65935414793 856402370121073 26619872032118558647570689885108103810166580325415 52263	84748800807278651600301306116162344980435929477533 09108487856892848005445914691821593583	88	292.091
26297	9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	25742941699350974030840425043066937812066869388044 298553302477996703237611779997411273239	89	293.694
26297	999287 56380769 65935414793 856402370121073 26619872032118558647570689885108103810166580325415 52263	84688374912303061921710291284901521228464878659815 60999093505050883404818031754646324786775321	94	312.021
26297	999287 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	25724586981919336786356435820011231085406865710170 622968433973329891588203362798273119001180593	95	313.624
26297	56380769 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	14514068493315747167578128802149720723195075755204 96958500781199059708001341879712865594483940791	97	319.443
26297	65935414793 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	16973715389387227716120345996070434335029649137536 54900170728706707383658458752832372767227725624527	100	329.634
26297	999287 56380769 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	14503719962480013039847645596313787972319437666191 50844169370142064778429536922952630321315073741216 017	103	339.373
26297	856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	22046316285212776802185713577525820392135924904121 95902345450084199349579589638078897930622375151486 5447	104	343.299
26297	999287 65935414793 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	16961613130314594622758752189375236115348772997701 48544226906977139501293910271741603285444692256156 712249	106	349.565
26297	56380769 65935414793 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	95699112644078633741297880380452206597297525617449 73983224391577453774864193783947010471095716883183 7521263	107	355.383
26297	999287 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	22030597261701420092325755163745044482196331989665 32006667077778289315443339390666947676397841398003 5347936289	110	363.230
26297	56380769 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	12429882657775196847325914123146468710645049986206 47319528853793982740785970904993199480009981596473 028833388743	112	369.048
26297	999287 56380769 65935414793 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	95630879176763405675440334991740944173993652481684 49816774352586259050322715613779056252629825637046 0421110339481	113	375.313
26297	65935414793 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	14536330089231753307154431337528569302231001237899 80123671221728779608898310529534568827158956422601 215353528357471	115	379.239
26297	999287 56380769 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	12421020151440203131973770746376665278454360065566 30797990029721227631091790507737939328780734479594 743563830536826241	118	388.978
26297	999287 65935414793 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	14525965685878131067046430227984911432318510534017 17867843044147686989037166034127010679585192086671 900686981291752123177	121	399.170
26297	56380769 65935414793 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	81956946886872487067566004056755929672957726543274 27386729858423810378120599045595620255865004834374 5501966535657521875199	122	404.988
26297	999287 56380769 65935414793 856402370121073 9670573047192145504551897475079153 26619872032118558647570689885108103810166580325415 52263	81898511583742146984286829495863462695100907684248 91931003120034754201320999058476110578622573085927 6411423633517598062101983113	128	424.919

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-12-15	kkmrkkblmbrbk	Manual testing	500000000	10000000000	12	-	skipped known factor: 999287 skipped known factor: 56380769 skipped known factor: 65935414793 skipped known factor: 856402370121073	-	-	0.668	-	-	13.581%
2023-03-10	nordi	sweet16_30.9b3	5000000000	5000000000		-	skipped known factor: 999287 skipped known factor: 56380769 skipped known factor: 65935414793 skipped known factor: 856402370121073	-	-	3.283	-	-	12.396%
2023-04-05	nordi	sweet16_30.8b14	5000000000	1516930270635780			26619872032118558647570689885108103810166580325415 52263	55	180.797	54,263	2.38134e-5	108,526	32.947%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-08-26	ANONYMOUS	Manual testing	?	?	56380769	25.749	8	3.94421e-11	0.000	3.76316e-10
2008-08-26	ANONYMOUS	Manual testing	?	?	65935414793	35.940	11	6.20901e-8	0.000	5.90587e-7
2008-08-29	ANONYMOUS	Manual testing	?	?	856402370121073	49.605	15	0.002	2.44815e-5	0.003

ECM factoring results:

Total ECM effort:	1,229.212 GHz-days
Estimated T-Level:	40.751

Digits	B1	Complete	FacMiss
20	11000	844.425	0.000%
25	50000	215.693	0.000%
30	250000	48.063	0.000%
35	1000000	8.320	0.024%
40	3000000	1.200	30.114%
45	11000000	0.150	86.058%
50	44000000	0.017	98.345%
55	110000000	0.002	99.833%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		144	0.068
200000	20000000		1	0.002
250000	25000000		51	0.120
3000000	300000000		600	17.01
3000000	321000000		200	5.797
3000000	13783619850		725	321.0
3000000	13783619850	9670573047192145504551897475079153	128	56.66
3000000	13786059143		350	155.0
3000000	13789713210		500	221.4
11000000	66544451905		90	190.4
11000000	66991657594		123	261.8

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-06	Matthias Wurtinger	WUR_E6600	50000	5000000						30	0.014
2009-05-10	Matthias Wurtinger	WUR_E6600	250000	25000000						30	0.071
2010-04-14	James Hintz	OMFG	50000	5000000						101	0.048
2010-05-07	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-07	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-08	Rob_Dee	twopc	200000	20000000						1	0.002
2010-05-08	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-08	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	50000	5000000						1	0.000
2010-05-09	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-10	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-10	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-10	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-10	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-11	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-11	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-11	Rob_Dee	twopc	250000	25000000						1	0.002
2010-05-12	Rob_Dee	twopc	250000	25000000						1	0.002
2011-03-24	James Hintz	17_051310	250000	25000000						11	0.026
2013-06-08	Sergiosi	Manual testing	3000000	300000000						100	2.834
2018-06-25	nordi	nordiputer	3000000	300000000						500	14.17
2022-09-05	nordi	sweet16_ccx1	3000000	321000000						200	5.797
2023-05-07	Naegi Makoto	5950X	3000000	13783619850	9670573047192145504551897475079153	112.897	128	2	2086170675594048	128	56.66
2023-05-08	Naegi Makoto	5950X	3000000	13783619850						375	166.0
2023-05-08	Naegi Makoto	5950X	3000000	13789713210						500	221.4
2023-05-09	Naegi Makoto	5950X	3000000	13783619850						350	154.9
2023-05-10	Naegi Makoto	5950X	3000000	13786059143						350	155.0
2023-05-21	Naegi Makoto	5950X	11000000	66544451905						90	190.4
2023-05-21	Naegi Makoto	5950X	11000000	66991657594						123	261.8

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

B1 = 5000000000, B2 = 1516930270635780 (P-1 stage 2)

B1 = 5000000000 (P-1 stage 1)

B1 = 500000000, B2 = 10000000000 (P-1 stage 2)

B1 = 500000000 (P-1 stage 1)

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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