M2481277 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	24.0219	67.6471%	2382500	85770100	0.6965	7.5482%	24.7184	70.0891%	2.4421%
PrimeNet	2⁵⁹	0.0309	62.7119%	10000	180000	0.0019	2.5343%	0.0329	63.6569%	0.9450%
GPU72	2⁶³	0.6432	65.0794%	11000	160000	0.0019	1.3800%	0.6451	65.5613%	0.4819%
Difference	+5	+23.3786	+2.5677%	+2371500	+85610100	+0.6946	+6.1682%	+24.0732	+4.5279%	+4.5279%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2481277	957829504158341086031	21	69.698	193011401822195 5 × 11 × 41 × 47 × 1821119987	2020-07-17	47	1821119987	85.402	9.979	18.638

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-14T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.234%
2003-10-31T00:00:00	Team Prime Rib	v4_computers	15000	228750		-		-	-	0.003	-	-	0.785%
2010-11-20T12:25:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.263%
2011-01-21T02:21:00	Oscar Östlin		95000	1947500		-		-	-	0.020	-	-	2.378%
2014-09-02T00:10:00	Jocelyn Larouche	Manual testing	120867	120867		-		-	-	0.012	-	-	0.917%
2014-11-02T09:11:00	mikr	MSI	2382500	85770100		-		-	-	0.697	-	-	7.548%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-05-02T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.031	-	-
2016-02-23T16:29:15	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.031	-	-
2009-01-15T19:38:00	Sturle Sunde	scarpia.ifi	2⁶⁰	2⁶¹		-	-	0.062	-	-
2012-06-09T07:43:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.124	-	-
2013-08-21T03:34:00	David Campeau	Manual testing	2⁶²	2⁶³		-	-	0.396	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.791	-	-
2015-03-03T21:37:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.506	-	-
2015-10-29T11:36:22	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.012	-	-
2017-07-22T20:28:37	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.023	-	-
2019-07-17T09:51:50	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.05	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.143 GHz-days
Estimated T-Level:	2.800

Digits	B1	Curves	Complete	FacMiss
20	11000	56 / 100	0.560	56.960%
25	50000	56 / 280	0.200	81.844%

New Calculation Method

Total ECM effort:	5.143 GHz-days
Estimated T-Level:	2.800

Digits	B1	Complete	FacMiss
20	11000	1.806	16.424%
25	50000	0.163	84.937%
30	250000	0.010	99.000%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		54	4.959
50000	5000000	957829504158341086031	2	0.184

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-24T20:30:00	Walt Cooney	P4	50000	5000000						3	0.276
2010-03-31T14:45:00	Conductor	home	50000	5000000						3	0.276
2012-06-09T04:36:00	Jacques MOLNE	Crazy_64	50000	5000000						3	0.276
2014-02-07T22:49:00	Syntony	Geomancer	50000	5000000						3	0.276
2015-07-20T02:30:00	guru	w6	50000	5000000						3	0.276
2016-02-26T00:53:51	Jason U	Server7	50000	5000000						3	0.276
2016-06-23T05:09:53	lettp	Home	50000	5000000						3	0.276
2017-02-27T14:13:56	Bruce	eleven	50000	5000000						3	0.276
2017-08-07T17:36:29	AnthonyRais	Win10Test	50000	5000000						3	0.276
2017-12-22T19:37:11	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2018-07-27T05:43:24	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2019-10-06T15:05:07	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.276
2020-05-12T09:19:02	Massimo Cappelli (ik5pwa)	maxwinxp_1	50000	5000000						3	0.276
2020-05-26T16:58:50	mnd9	75203b	50000	5000000						3	0.276
2020-06-14T03:40:31	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.276
2020-06-29T09:22:25	nordi	sweet16	50000	5000000						3	0.276
2020-07-05T05:45:03	GAN	LMS-08	50000	5000000						3	0.276
2020-07-12T14:24:59	mnd9	75203b	50000	5000000						3	0.276
2020-07-17T22:48:36	mnd9	office2	50000	5000000	957829504158341086031	69.698	2	2	4920341790771873	2	0.184

date	userid	compid	res64	spent (GHz-days)
1999-05-30T00:00:00	ANONYMOUS	v4_computers	24429FD14D838CCD	0.172
2018-05-30T10:48:05	kkmrkkblmbrbk	old	24429FD14D838CCD	0.172

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 = 2382500, B2 = 85770100 (P-1 stage 2)

B1 = 2382500 (P-1 stage 1)

B1 = 95000, B2 = 1947500 (P-1 stage 2)

B1 = 120867 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

B1 = 15000, B2 = 228750 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

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