M1 152 517 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁷	25.7818	68.6567%	500000	10000000	0.0437	4.4280%	25.8255	70.0446%
Target	2⁶⁰	0.1333	65.0000%	5000	26000	0.0003	0.7712%	0.1335	65.2699%
Difference	+7	+25.6485	+3.6567%	+495000	+9974000	+0.0435	+3.6568%	+25.6920	+4.7747%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1152517	90247018872937573802926559	26	86.222	39152142169242437987 39152142169242437987	2014-07-29	1	39152142169242437987	23,448,511	9.167e+10	1.712e+11

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16	Jocelyn Larouche	v4_computers	1000	1000		-		-	-	4.29764e-5	-	-	0.005%
2002-03-24	Jocelyn Larouche	v4_computers	4000	4000		-		-	-	0.000	-	-	0.049%
2002-06-02	ANONYMOUS	v4_computers	50000	1000000		-		-	-	0.004	-	-	1.743%
2012-02-02	markr	tiny	500000	10000000		-		-	-	0.044	-	-	4.428%
2016-03-17	alpertron	Manual testing	300000	10000000	12	-		-	-	0.036	-	-	4.140%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-07-12	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.008	-	-
2001-11-14	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.017	-	-
2003-05-04	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.033	-	-
2022-03-07	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.100	-	-
2009-02-15	Sturle Sunde	krebs.ifi	2⁶⁰	2⁶¹		-	-	0.133	-	-
2011-05-09	Xyzzy	Manual testing	2⁶¹	2⁶²		-	-	0.267	-	-
2012-10-07	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.852	-	-

ECM factoring results:

Total ECM effort:	17.750 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		280	9.92
50000	5000000	90247018872937573802926559	1	0.035
250000	25000000		44	7.795

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-10-09	Chad Davis	Bayes	50000	5000000						1	0.035
2008-06-14	Sturle Sunde	v21	50000	5000000						3	0.106
2009-01-03	Sturle Sunde	v21	50000	5000000						3	0.106
2009-06-04	SubPrime	c2d0	50000	5000000						3	0.106
2009-09-13	Lupo	yorick	50000	5000000						3	0.106
2010-01-07	sannerud.com	snap1	50000	5000000						3	0.106
2010-07-01	unconnected	xp-lm	50000	5000000						3	0.106
2011-02-25	Beat Bucheli	I7	50000	5000000						3	0.106
2011-11-11	Andriy Makukha	freehost	50000	5000000						3	0.106
2012-07-17	soldake		50000	5000000						3	0.106
2013-02-01	OS1	Tina	50000	5000000						3	0.106
2013-10-04	jim f in mn	asus	50000	5000000						3	0.106
2014-02-09	Bruce	xps630	50000	5000000						3	0.106
2014-03-08	Bruce	snowflake	50000	5000000						3	0.106
2014-07-29	Xyzzy	jv	50000	5000000	90247018872937573802926559	86.222	1	2		1	0.035
2017-07-21	TJAOI	Manual testing	50000	5000000						99	3.508
2018-06-08	TJAOI	Manual testing	50000	5000000						141	4.996
2020-06-29	TJAOI	Manual testing	250000	25000000						44	7.795

date	userid	compid	res64	spent (GHz-days)
1997-01-01	Larry Deem		0EBBFB03173A3369	0.034
2002-07-14	ANONYMOUS	v4_computers	0EBBFB03173A3369	0.034

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-29

Oliver Kruse

GTX-0

90247018872937573802926559

55A8BCD4A23280__

2017-10-17

Oliver Kruse

Threadripper

90247018872937573802926559

55A8BCD4A23280__

2018-01-02

ATH

ec2-1xf

90247018872937573802926559

55A8BCD4A23280__

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 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 300000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 300000 (P-1 stage 1)

B1 = 50000, B2 = 1000000 (P-1 stage 2)

B1 = 50000 (P-1 stage 1)

B1 = 4000 (P-1 stage 1)

B1 = 1000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

10¹⁴

10¹⁵

10¹⁶

10¹⁷

10¹⁸

10¹⁹

10²⁰

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