M25 980 421 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	18.4015	64.7887%	-	-	-	-	18.4015	64.7887%
Target	2⁷⁰	9.1973	64.2857%	190000	5500000	0.5956	3.7836%	9.7929	65.6370%
Difference	+1	+9.2041	+0.5030%	-190000	-5500000	-0.5956	-3.7836%	+8.6086	-0.8483%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
25980421	155882527	9	27.216	3 3	-	1	3	6.887e-13	1.378e-6	2.529e-6
25980421	8521578089	10	32.988	164 2² × 41	2008-09-08	4	41	2.280e-11	7.475e-6	1.012e-5
25980421	735765522721	12	39.420	14160 2⁴ × 3 × 5 × 59	2008-09-08	16	59	3.002e-9	2.279e-5	4.046e-5
25980421	13073347847201	14	43.572	251600 2⁴ × 5² × 17 × 37	2008-10-01	25	37	6.580e-8	3.188e-5	6.322e-5
25980421	1581987532773289	16	50.491	30445764 2² × 3 × 2537147	2014-06-02	4	2537147	1.150e-5	0.1718	0.3208
25980421	1844761185312361124777	22	70.644	35502911698628 2² × 11 × 353 × 1801 × 1269179	2023-02-02	1801	1269179	16.385	0.0880	0.1605

exponent	prime factors	composite factor	digits	bits*
25980421	155882527 8521578089	1328365126541150903	19	60.204
25980421	155882527 735765522721	114692988961225395967	21	66.636
25980421	155882527 13073347847201	2037906498771701756927	22	70.788
25980421	8521578089 735765522721	6269883357060905260169	22	72.409
25980421	8521578089 13073347847201	111405554564583361578889	24	76.560
25980421	155882527 1581987532773289	246604214291195607421303	24	77.707
25980421	735765522721 13073347847201	9618918612509303801753921	25	82.992
25980421	8521578089 1581987532773289	13481030296352028946864721	26	83.479
25980421	735765522721 1581987532773289	1163971883989044099871399369	28	89.911
25980421	13073347847201 1581987532773289	20681873305880499181346214089	29	94.062
25980421	155882527 1844761185312361124777	287566035278006136466801071479	30	97.860
25980421	155882527 8521578089 735765522721	977365261693897204862736167063	30	99.625
25980421	8521578089 1844761185312361124777	15720276496195485181755078211153	32	103.632
25980421	155882527 8521578089 13073347847201	17366179367363639105071927172503	32	103.776
25980421	735765522721 1844761185312361124777	1357311677806760930634268909558217	34	110.064
25980421	155882527 735765522721 13073347847201	1499421340325284087628108237638367	34	110.208
25980421	155882527 8521578089 1581987532773289	2101457069158913153814421436629967	34	110.695
25980421	13073347847201 1844761185312361124777	24117204670603321331337675891199177	35	114.216
25980421	8521578089 735765522721 13073347847201	81968366088233564585670612963436969	35	115.981
25980421	155882527 735765522721 1581987532773289	181442878633163034602394108665925463	36	117.127
25980421	1581987532773289 1844761185312361124777	2918389196108230357107720702181681553	37	121.135
25980421	155882527 13073347847201 1581987532773289	3223942674014496172409679114076322903	37	121.278
25980421	8521578089 735765522721 1581987532773289	9918877302813088117518844580638825841	37	122.900
25980421	8521578089 13073347847201 1581987532773289	176242198402865256676142335503925495921	39	127.051
25980421	155882527 8521578089 1844761185312361124777	2450516425365658116123035886637169223631	40	130.848
25980421	735765522721 13073347847201 1581987532773289	15217009323750661803323609781667459816169	41	133.483
25980421	155882527 735765522721 1844761185312361124777	211581174263127711552141550419469319574359	42	137.280
25980421	155882527 13073347847201 1844761185312361124777	3759450808229848343721921208227104771080279	43	141.432
25980421	8521578089 735765522721 1844761185312361124777	11566437453541921522554234812225224657107313	44	143.053
25980421	155882527 8521578089 735765522721 13073347847201	12777436039894953013832043138379513332940663	44	143.197
25980421	8521578089 13073347847201 1844761185312361124777	205516642888941725467753447934626454658032753	45	147.204
25980421	155882527 1581987532773289 1844761185312361124777	454925882658849513564063914266294933590924431	45	148.350
25980421	155882527 8521578089 735765522721 1581987532773289	1546179658965448384432510463350235446407980207	46	150.115
25980421	735765522721 13073347847201 1844761185312361124777	17744607701035795341790394740249441988930000617	47	153.636
25980421	8521578089 1581987532773289 1844761185312361124777	24869281428730219883693798148443112019220292217	47	154.123
25980421	155882527 8521578089 13073347847201 1581987532773289	27473079251074000251180687870033724723893672367	47	154.267
25980421	735765522721 1581987532773289 1844761185312361124777	2147250152377891087587642620145578092953808065713	49	160.555
25980421	155882527 735765522721 13073347847201 1581987532773289	2372065866768814279824461291528241909815379179063	49	160.699
25980421	13073347847201 1581987532773289 1844761185312361124777	38153117114236190346492015890722866594890684383153	50	164.706
25980421	8521578089 735765522721 13073347847201 1581987532773289	12967293323338234692245170049184349945375371832104 1	51	166.471
25980421	155882527 8521578089 735765522721 1844761185312361124777	18030054986455598273714416170810385126925964606199 51	52	170.269
25980421	155882527 8521578089 13073347847201 1844761185312361124777	32036453634084816521653664477012502553145066386406 831	53	174.420
25980421	155882527 735765522721 13073347847201 1844761185312361124777	27660742890611202953331154364375916275743145222895 19159	55	180.852
25980421	155882527 8521578089 1581987532773289 1844761185312361124777	38766864337846370767358353496072334173001317204643 92359	55	181.339
25980421	8521578089 735765522721 13073347847201 1844761185312361124777	15121206018304729618928929384917049124734247381258 3680913	57	186.625
25980421	155882527 735765522721 1581987532773289 1844761185312361124777	33471877985380072166394006560119382100548049555632 4496751	57	187.771
25980421	155882527 13073347847201 1581987532773289 1844761185312361124777	59474043086940850260641810223700363014954451704053 25867631	58	191.922
25980421	8521578089 735765522721 1581987532773289 1844761185312361124777	18297959850105347940015235218995108267153576101891 372962457	59	193.544
25980421	155882527 8521578089 735765522721 13073347847201 1581987532773289	20213744515921920995462444108115707583374249247530 068350607	59	193.687
25980421	8521578089 13073347847201 1581987532773289 1844761185312361124777	32512476682772602962749968062782379834629049538969 1085534617	60	197.695
25980421	735765522721 13073347847201 1581987532773289 1844761185312361124777	28071748156991521660942352180490748354737293743023 998491119313	62	204.127
25980421	155882527 8521578089 735765522721 13073347847201 1844761185312361124777	23571318054209495090503885459254253029467126852336 868579680107151	65	213.840
25980421	155882527 8521578089 735765522721 1581987532773289 1844761185312361124777	28523322203789628531038192844363558773224905398496 36696887273288839	67	220.759
25980421	155882527 8521578089 13073347847201 1581987532773289 1844761185312361124777	50681270243391707162011518907958120196958183497426 896162509243937159	68	224.911
25980421	155882527 735765522721 13073347847201 1581987532773289 1844761185312361124777	43758950400194311140829310592188579536575417698038 69506439865568943951	70	231.343
25980421	8521578089 735765522721 13073347847201 1581987532773289 1844761185312361124777	23921559401454508314465523543339133444694212171171 0102143091398745532857	72	237.115
25980421	155882527 8521578089 735765522721 13073347847201 1581987532773289 1844761185312361124777	37289531292793362316013964643136981393491485355162 936213493202828418291710689639	80	264.331

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	735765522721	39.420	12	1.83049e-10	54.32	4.46613e-10
2008-09-08	Will Edgington	Manual testing	?	?	8521578089	32.988	10	7.81770e-13	54.32	1.90741e-12
2008-10-01	markr	Manual testing	?	?	13073347847201	43.572	14	2.06967e-8	54.32	5.04970e-8
2014-06-02	TJAOI	Manual testing	?	?	1581987532773289	50.491	16	5.72822e-6	54.32	1.39760e-5
2023-02-02	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.151	-	-
2023-02-02	LordJulius	Manual testing	2⁶⁸	2⁶⁹		-	-	2.301	-	-
2023-02-02	LordJulius	Manual testing	2⁶⁹	2⁷⁰		-	-	4.602	-	-
2023-02-02	LordJulius	Manual testing	2⁷⁰	2⁷¹	1844761185312361124777	70.644	22	7.188	45.12	14.57
2023-02-02	LordJulius	Manual testing	2⁷⁰	2⁷¹	155882527 13073347847201	70.788	22	2.078	45.12	4.211

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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