M2297987 Mersenne number exponent details

is 2 ^2297987 - 1

has 691764 decimal digits

takes 0.155 GHz-days to do one PRP test

Exponent is not assigned to anyone

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	25.9379	67.6471%	500000	10000000	0.0997	4.3690%	26.0375	69.0606%	1.4135%
PrimeNet	2⁵⁸	0.0167	62.0690%	10000	190000	0.0019	2.9275%	0.0186	63.1794%	1.1104%
GPU72	2⁶²	0.2673	64.5161%	12000	200000	0.0022	1.7372%	0.2695	65.1326%	0.6164%
Difference	+6	+25.6705	+3.1309%	+488000	+9800000	+0.0975	+2.6318%	+25.7680	+3.9280%	+3.9280%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2297987	6489726410696687751617	22	72.459	1412045936442784 2⁵ × 607 × 1163 × 62507257	2020-04-25	1163	62507257	703.02	0.3337	0.6231

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.229%
2010-11-07T12:40:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.201%
2010-11-15T02:50:00	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.258%
2010-12-04T05:17:00	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.679%
2011-01-17T21:39:00	Oscar Östlin		90000	1755000		-		-	-	0.018	-	-	2.267%
2013-11-15T17:52:00	c10ck3r	Manual testing	500000	10000000		-		-	-	0.100	-	-	4.369%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:11	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.067	-	-
2009-01-15T16:09:00	Sturle Sunde	gonsha.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-
2012-05-12T07:48:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.134	-	-
2013-01-23T08:24:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.427	-	-
2015-03-12T10:50:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.854	-	-
2015-03-12T10:50:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.626	-	-
2015-11-04T09:56:28	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.252	-	-
2017-05-27T13:18:47	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.504	-	-
2019-03-25T14:11:05	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.01	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.043 GHz-days
Estimated T-Level:	2.850

Digits	B1	Curves	Complete	FacMiss
20	11000	57 / 100	0.570	56.391%
25	50000	57 / 280	0.204	81.551%

New Calculation Method

Total ECM effort:	5.043 GHz-days
Estimated T-Level:	2.850

Digits	B1	Complete	FacMiss
20	11000	1.839	15.902%
25	50000	0.166	84.689%
30	250000	0.010	98.982%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		54	4.778
50000	5000000	6489726410696687751617	3	0.265

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-17T09:34:00	S36049	Wolle3	50000	5000000						3	0.265
2010-07-26T12:20:00	James Hintz	nana	50000	5000000						3	0.265
2011-11-21T04:42:00	S36049	Wolle5	50000	5000000						3	0.265
2013-09-20T12:16:00	arnaud	srv-630	50000	5000000						3	0.265
2015-04-12T07:04:00	Jason U	Server7	50000	5000000						3	0.265
2016-02-14T03:41:00	Bruce	Desk8	50000	5000000						3	0.265
2016-04-17T13:16:50	Bruce	Desk6	50000	5000000						3	0.265
2016-08-04T14:05:28	Bruce	Desk6	50000	5000000						3	0.265
2017-01-04T16:58:59	Bruce	Desk6	50000	5000000						3	0.265
2017-08-14T15:01:46	Bruce	Desk6	50000	5000000						3	0.265
2018-01-16T21:39:37	Bruce	Desk6	50000	5000000						3	0.265
2018-07-14T11:25:53	Bruce	Desk6	50000	5000000						3	0.265
2019-10-09T03:09:29	monsted	rootweiler	50000	5000000						3	0.265
2020-03-06T05:57:07	mnd9	kitchen	50000	5000000						3	0.265
2020-03-12T20:26:20	MarkS	desktop-i7	50000	5000000						3	0.265
2020-03-20T21:21:41	kracker	O0	50000	5000000						3	0.265
2020-04-02T08:06:46	mnd9	office	50000	5000000						3	0.265
2020-04-15T04:33:37	mnd9	eileen	50000	5000000						3	0.265
2020-04-25T08:06:40	nordi	sweet16	50000	5000000	6489726410696687751617	72.459	3	2	952049145851122	3	0.265

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-02-21T00:00:00	ANONYMOUS	v4_computers	9A6DE5C81A5063BD	0.155
2018-04-30T05:25:46	kkmrkkblmbrbk	old	9A6DE5C81A5063BD	0.155

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-04-25T12:16:34

CrypticClue

cruncher

6489726410696687751617

08B19DAB7C475E5C

2020-04-27T19:26:19

arnaud

stm-11-010

6489726410696687751617

08B19DAB7C475E5C

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 = 500000 (P-1 stage 1)

B1 = 90000, B2 = 1755000 (P-1 stage 2)

B1 = 90000 (P-1 stage 1)

B1 = 75011 (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

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-04-27T19:26:19+00:00

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