M2418659 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	2⁷⁰	98.7947	68.5714%	3102822	43439508	0.5192	5.7742%	99.3139	70.3862%	1.8148%
PrimeNet	2⁵⁹	0.0318	62.7119%	10000	180000	0.0019	2.5222%	0.0336	63.6523%	0.9405%
GPU72	2⁶³	0.6599	65.0794%	10000	140000	0.0017	1.2769%	0.6615	65.5253%	0.4459%
Difference	+7	+98.1348	+3.4921%	+3092822	+43299508	+0.5175	+4.4974%	+98.6523	+4.8609%	+4.8609%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2418659	214447593466623150985302593	27	87.471	44331919767652891744 2⁵ × 64794559 × 21381000413	2021-01-03	64794559	21381000413	23,067,804	120.11	213.12

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.150%
2010-11-09T22:13:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.140%
2010-11-16T23:09:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.183%
2010-12-18T23:28:00	markr	tiny	95000	1923750		-		-	-	0.019	-	-	1.851%
2014-04-04T07:53:00	mikr	MSI	3102822	43439508		-		-	-	0.519	-	-	5.774%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-15T00:00:00	akohler	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23T16:29:13	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-11T16:20:00	Sturle Sunde	othello.ifi	2⁶⁰	2⁶¹		-	-	0.064	-	-
2012-06-04T15:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.127	-	-
2013-12-04T21:13:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.406	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.812	-	-
2015-02-27T20:40:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.545	-	-
2015-10-22T10:17:20	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.090	-	-
2017-07-05T06:34:28	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.179	-	-
2019-04-02T08:43:48	Anton Repko	Manual testing	2⁶⁷	2⁶⁹		-	-	37.08	-	-
2019-04-18T10:04:26	Anton Repko	Manual testing	2⁶⁹	2⁷⁰		-	-	49.43	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	9.624 GHz-days
Estimated T-Level:	21.929

Digits	B1	Curves	Complete	FacMiss
20	11000	108 / 100	1.080	33.775%
25	50000	108 / 280	0.386	67.950%

New Calculation Method

Total ECM effort:	9.624 GHz-days
Estimated T-Level:	21.929

Digits	B1	Complete	FacMiss
20	11000	3.484	3.069%
25	50000	0.315	72.988%
30	250000	0.019	98.080%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		103	9.179
50000	5000000	214447593466623150985302593	5	0.446

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-02-02T09:00:00	borkencode	CFF2DC1CD	50000	5000000						3	0.267
2010-02-28T14:10:00	SubPrime	stor	50000	5000000						3	0.267
2012-03-09T22:44:00	S36049	Wolle5	50000	5000000						3	0.267
2013-12-08T13:19:00	Bruce	apandya-DESK11	50000	5000000						3	0.267
2015-06-30T23:36:00	guru	w6	50000	5000000						3	0.267
2016-02-20T13:46:08	Sintax	cloud	50000	5000000						3	0.267
2016-06-08T00:04:57	lettp	Home	50000	5000000						3	0.267
2016-10-01T14:34:26	Bruce	Desk6	50000	5000000						3	0.267
2017-04-12T00:30:09	Bruce	Desk6	50000	5000000						3	0.267
2017-11-13T15:34:49	Bruce	Desk6	50000	5000000						3	0.267
2018-04-17T17:29:41	Bruce	Desk6	50000	5000000						3	0.267
2018-10-22T20:00:37	Bruce	Desk6	50000	5000000						3	0.267
2019-07-26T04:47:02	Hans Loeblich	Manual testing	50000	5000000						3	0.267
2020-04-25T21:16:56	mnd9	221Rb	50000	5000000						3	0.267
2020-05-04T18:02:23	mnd9	27016b	50000	5000000						3	0.267
2020-05-15T17:52:43	Summy	CHB	50000	5000000						3	0.267
2020-06-04T18:43:47	Massimo Cappelli (ik5pwa)	maxlinux_3	50000	5000000						3	0.267
2020-06-22T15:18:47	LaurV	3tits	50000	5000000						3	0.267
2020-07-01T13:30:04	GAN	LMS-04	50000	5000000						3	0.267
2020-07-08T08:22:57	GAN	OSK-01	50000	5000000						3	0.267
2020-07-14T18:18:10	mnd9	kitchen	50000	5000000						3	0.267
2020-07-20T10:51:48	GAN	LMS-01	50000	5000000						3	0.267
2020-07-27T07:34:15	Sergey Nosov	TS140-02	50000	5000000						3	0.267
2020-08-03T05:05:50	GAN	LMS-02	50000	5000000						3	0.267
2020-08-11T00:40:34	GAN	LMS-12	50000	5000000						3	0.267
2020-08-27T02:50:23	M. R. Mayer	nimbus	50000	5000000						7	0.624
2020-10-02T16:06:02	mnd9	50871b	50000	5000000						7	0.624
2020-10-26T01:28:10	lycorn	colab_ES_1	50000	5000000						7	0.624
2020-11-30T14:17:43	Zenzoma	i7-6820HQ	50000	5000000						7	0.624
2021-01-03T19:50:09	Keysarecool	Boat_Anchor	50000	5000000	214447593466623150985302593	87.471	5	2	6039960971671799	5	0.446

date	userid	compid	res64	spent (GHz-days)
1999-05-23T00:00:00	ANONYMOUS	v4_computers	085F6472952C6254	0.163
2018-05-19T14:12:20	kkmrkkblmbrbk	old	085F6472952C6254	0.163

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 = 3102822, B2 = 43439508 (P-1 stage 2)

B1 = 3102822 (P-1 stage 1)

B1 = 95000, B2 = 1923750 (P-1 stage 2)

B1 = 95000 (P-1 stage 1)

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)

10²

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10¹⁰

10¹¹

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