M1 236 017 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷¹	386.7894	70.4225%	200000000	2000021527350	4,853.7943	21.0666%	5,240.5837	76.6535%
Target	2⁶⁰	0.1243	65.0000%	5000	30000	0.0003	0.8315%	0.1245	65.2910%
Difference	+11	+386.6652	+5.4225%	+199995000	+2000021497350	+4,853.7940	+20.2351%	+5,240.4592	+11.3625%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1236017	277197998400026423197951768958752733506137601	45	147.636	112133570331163092092564976435903686400 2⁸ × 3 × 5² × 13 × 43 × 1013 × 2777 × 666823 × 11364281 × 490100057801	2023-03-12	11364281	490100057801	1.538e+11	1,187.8	2,217.6

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-10-07	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.44667e-5	-	-	0.002%
2002-12-25	ANONYMOUS	v4_computers	20000	395000		-		-	-	0.002	-	-	0.563%
2013-10-29	David Campeau	i5-2500k	1320000	33000000		-		-	-	0.135	-	-	4.304%
2016-08-03	Bruno Victal	5820K-factoring	2500000	62500000	12	-		-	-	0.257	-	-	5.172%
2016-08-27	Bruno Victal	Manual testing	2500000	62500000	12	-		-	-	0.257	-	-	5.172%
2018-05-01	Jocelyn Larouche	low 4M	1236017	123601700	12	-		-	-	0.351	-	-	5.357%
2018-10-13	Jocelyn Larouche	low 4M	1236017	135961870	12	-		-	-	0.381	-	-	5.437%
2022-05-30	Sid & Andy	Barrel_Of_Monkeys	25000000	128312841930		-		-	-	311.9	-	-	15.519%
2023-03-12	kracker	centre	200000000	2000021527350			277197998400026423197951768958752733506137601	45	147.636	4,854	0.076	9,708	21.067%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-14	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.016	-	-
2003-05-26	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.031	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.093	-	-
2009-02-14	Sturle Sunde	ghia.ifi	2⁶⁰	2⁶¹		-	-	0.124	-	-
2011-05-09	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.249	-	-
2012-10-26	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.794	-	-
2015-04-02	omylist	Manual testing	2⁶³	2⁶⁴		-	-	1.588	-	-
2015-04-06	monst	Manual testing	2⁶⁴	2⁶⁵		-	-	3.023	-	-
2015-09-20	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	6.046	-	-
2018-07-18	ramgeis	Manual testing	2⁶⁶	2⁶⁷		-	-	12.09	-	-
2018-07-18	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	24.18	-	-
2020-10-20	kracker	Manual testing	2⁶⁸	2⁶⁹		-	-	48.37	-	-
2020-10-20	kracker	Manual testing	2⁶⁹	2⁷⁰		-	-	96.73	-	-
2020-10-25	kracker	Manual testing	2⁷⁰	2⁷¹		-	-	193.5	-	-

ECM factoring results:

Total ECM effort:	18.556 GHz-days
Estimated T-Level:	25.658

Digits	B1	Complete	FacMiss
20	11000	14.808	0.000%
25	50000	1.620	19.795%
30	250000	0.132	87.678%
35	1000000	0.009	99.129%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	10.41
250000	25000000		44	8.148

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-11-06	Chad Davis	Bayes	50000	5000000						1	0.037
2008-08-21	Sturle Sunde	v1	50000	5000000						3	0.111
2009-01-29	WileECoyote	boobuni	50000	5000000						3	0.111
2009-06-28	SubPrime	c2d0	50000	5000000						3	0.111
2009-10-09	Lupo	yorick	50000	5000000						3	0.111
2010-03-10	James Hintz	paden	50000	5000000						3	0.111
2010-11-27	James Hintz	17_051310	50000	5000000						3	0.111
2011-08-30	Lukasz Wrobel	4_core_L	50000	5000000						3	0.111
2012-05-22	OS1	Tina	50000	5000000						3	0.111
2012-10-30	ANONYMOUS		50000	5000000						3	0.111
2013-08-09	jim f in mn	asus	50000	5000000						3	0.111
2014-01-20	jim f in mn	asus	50000	5000000						3	0.111
2014-03-08	Bruce	snowflake	50000	5000000						3	0.111
2014-08-01	Xyzzy	jv	50000	5000000						3	0.111
2015-03-07	Jason U	Dell-Win7	50000	5000000						3	0.111
2015-05-25	Jason U	Dell-Win7	50000	5000000						3	0.111
2015-09-22	OS1	Tina	50000	5000000						3	0.111
2016-01-08	arnaud	CHAMOT06	50000	5000000						3	0.111
2016-03-11	raman22feb1988	Chitra	50000	5000000						3	0.111
2016-04-11	raman22feb1988	Vijay	50000	5000000						3	0.111
2016-05-10	raman22feb1988	Nithya	50000	5000000						3	0.111
2016-06-25	raman22feb1988	Gokul_Nath	50000	5000000						3	0.111
2016-09-15	OS1	Tina	50000	5000000						3	0.111
2017-02-02	Mathematicae KUHMANN	GIMPS-03	50000	5000000						3	0.111
2017-05-16	OS1	Tina	50000	5000000						3	0.111
2017-11-02	OS1	Tina	50000	5000000						3	0.111
2017-11-03	TJAOI	Manual testing	50000	5000000						67	2.482
2018-09-21	TJAOI	Manual testing	50000	5000000						138	5.111
2021-01-29	TJAOI	Manual testing	250000	25000000						44	8.148

date	userid	compid	res64	spent (GHz-days)
1997-01-01	dave platt		871E778E4F4328FC	0.038
2015-11-12	MadPoo	Manual testing	871E778E4F4328FC	0.038

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 = 200000000, B2 = 2000021527350 (P-1 stage 2)

B1 = 25000000, B2 = 128312841930 (P-1 stage 2)

B1 = 200000000 (P-1 stage 1)

B1 = 25000000 (P-1 stage 1)

B1 = 1236017, B2 = 135961870 (P-1 stage 2)

B1 = 1236017, B2 = 123601700 (P-1 stage 2)

B1 = 2500000, B2 = 62500000 (P-1 stage 2)

B1 = 1320000, B2 = 33000000 (P-1 stage 2)

B1 = 2500000 (P-1 stage 1)

B1 = 1320000 (P-1 stage 1)

B1 = 1236017 (P-1 stage 1)

B1 = 20000, B2 = 395000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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