M2 363 059 Mersenne number exponent details

is 2 ^2363059 - 1

has 711352 decimal digits

takes 0.160 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
Actual	2⁶⁹	50.5221	68.1159%	14400000	36949548090	198.5293	15.9282%	249.0515	73.1945%
Target	2⁶³	0.6754	65.0794%	10000	1120000	0.0069	1.2708%	0.6823	65.5231%
Difference	+6	+49.8467	+3.0366%	+14390000	+36948428090	+198.5224	+14.6574%	+248.3692	+7.6714%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2363059	33645066384589064414920933262617759588697	41	134.628	7118964525343858197133658800439972 2² × 7 × 200899 × 244721 × 376547 × 4052821 × 3388700363	2023-06-18	4052821	3388700363	6.898e+10	18.460	33.778

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.186%
2010-11-03	Jocelyn Larouche	Manual testing	20000	20000		-		-	-	0.002	-	-	0.218%
2010-12-23	Oscar Östlin		75011	75011		-		-	-	0.007	-	-	0.588%
2011-01-22	Oscar Östlin		90000	1822500		-		-	-	0.018	-	-	2.033%
2014-08-07	Jocelyn Larouche	Manual testing	117162	117162		-		-	-	0.011	-	-	0.776%
2014-10-22	Jocelyn Larouche	Manual testing	144324	144324		-		-	-	0.014	-	-	0.875%
2015-08-31	mikr	MSI	3000000	100000000		-		-	-	0.812	-	-	7.218%
2023-01-23	Jocelyn Larouche	Manual testing	1000000	571741170		-		-	-	3.144	-	-	8.233%
2023-03-21	Jocelyn Larouche	Manual testing	1000000	1647836190		-		-	-	8.887	-	-	9.325%
2023-06-18	Sid & Andy	Pterodactyl	14400000	36949548090			33645066384589064414920933262617759588697	41	134.628	198.5	0.319	397.1	15.928%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-03-01	ANONYMOUS	v4_computers	2¹	2⁵⁹		-	-	0.032	-	-
2016-02-23	Mark Rose	Manual testing	2⁵⁹	2⁶⁰		-	-	0.032	-	-
2009-01-14	Sturle Sunde	ginjtje.ifi	2⁶⁰	2⁶¹		-	-	0.065	-	-
2012-05-30	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.130	-	-
2013-12-04	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.415	-	-
2015-03-09	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.831	-	-
2015-03-09	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.581	-	-
2015-10-29	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.162	-	-
2017-06-13	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.325	-	-
2019-04-15	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	12.65	-	-
2021-07-12	TJAOI	Manual testing	2⁶⁸	2⁶⁹		-	-	25.30	-	-

ECM factoring results:

Total ECM effort:	17.518 GHz-days
Estimated T-Level:	23.449

Digits	B1	Complete	FacMiss
20	11000	7.465	0.057%
25	50000	0.690	50.172%
30	250000	0.043	95.747%
35	1000000	0.002	99.797%

ECM Summary

B1	B2	curves	GHz-days
50000	50000	7	0.365
50000	5000000	186	16.52
50000	5200000	7	0.632

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-31	Smurgs	23-3-06	50000	5000000						3	0.266
2010-02-06	SubPrime	abd0	50000	5000000						3	0.266
2012-01-07	S36049	Wolle5	50000	5000000						3	0.266
2013-11-04	arnaud	srv-630	50000	5000000						3	0.266
2015-06-15	guru	w6	50000	5000000						3	0.266
2016-02-17	Sintax	cloud2	50000	5000000						3	0.266
2016-05-13	Bruce	Desk6	50000	5000000						3	0.266
2016-09-04	Bruce	Desk6	50000	5000000						3	0.266
2017-03-08	Bruce	Desk6	50000	5000000						3	0.266
2017-10-14	Bruce	Desk6	50000	5000000						3	0.266
2018-03-06	Bruce	Desk6	50000	5000000						3	0.266
2018-09-10	Bruce	Desk6	50000	5000000						3	0.266
2020-03-19	mnd9	75203b	50000	5000000						3	0.266
2020-03-30	MarkS	laptop64	50000	5000000						3	0.266
2020-04-11	EricP	Cannonfodder	50000	5000000						3	0.266
2020-04-23	mnd9	eileen	50000	5000000						3	0.266
2020-05-01	nordi	sweet16	50000	5000000						3	0.266
2020-05-12	Leo Custodio	G1-PRIME96-01	50000	5000000						3	0.266
2020-06-03	mnd9	50871b	50000	5000000						3	0.266
2020-06-15	GAN	PG-HP	50000	5000000						3	0.266
2020-06-29	GAN	OSB-02	50000	5000000						3	0.266
2020-07-06	GAN	LMS-02	50000	5000000						3	0.266
2020-07-12	GAN	LMS-08	50000	5000000						3	0.266
2020-07-18	GAN	OSB-02	50000	5000000						3	0.266
2020-07-24	GAN	LMS-16	50000	5000000						3	0.266
2020-08-05	nokno	leo224	50000	5000000						3	0.266
2020-08-08	Chang Chia-Tche	ex-ctcpc	50000	5000000						3	0.266
2020-08-17	IanGlencross	glenx24	50000	5000000						7	0.622
2020-09-19	GAN	AC-GR	50000	5000000						7	0.622
2020-10-18	mnd9	75202	50000	5000000						7	0.622
2020-11-21	LordJulius	Babybox	50000	5000000						7	0.622
2020-12-28	daveward2005	Dave2	50000	5000000						7	0.622
2021-01-28	Zenzoma	AMD3970X	50000	5000000						7	0.622
2021-04-02	tottenhoff	Garage-Band-003	50000	5000000						7	0.622
2021-04-28	C.D.B.	i7-6850K	50000	5000000						7	0.622
2021-05-18	kutens	arcturus	50000	5200000						7	0.632
2021-07-13	Gerry Snyder	Gerry-Workstation	50000	5000000						7	0.622
2021-08-19	RIHATEC	i7-3770K	50000	5000000						7	0.622
2021-10-29	Esti	Estis_CoreI7	50000	5000000						7	0.622
2022-04-15	daveward2005	Davy	50000	5000000						7	0.622
2022-05-22	tottenhoff		50000	50000						7	0.365
2022-08-03	daveward2005	d12436	50000	5000000						7	0.622
2022-09-07	RIHATEC	i7-3770K	50000	5000000						7	0.622
2022-12-08	daveward2005	Dave2	50000	5000000						7	0.622

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1997-01-01	John Lloyd		C8C509B5DE7D8B18	0.160
1999-03-26	ANONYMOUS	v4_computers	C8C509B5DE7D8B18	0.160
2018-05-11	kkmrkkblmbrbk	old	C8C509B5DE7D8B18	0.160

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-06-19

Naegi Makoto

5950X

33645066384589064414920933262617759588697

0F72019F9E58E470

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 = 14400000, B2 = 36949548090 (P-1 stage 2)

B1 = 1000000, B2 = 1647836190 (P-1 stage 2)

B1 = 1000000, B2 = 571741170 (P-1 stage 2)

B1 = 14400000 (P-1 stage 1)

B1 = 3000000, B2 = 100000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 1000000 (P-1 stage 1)

B1 = 90000, B2 = 1822500 (P-1 stage 2)

B1 = 144324 (P-1 stage 1)

B1 = 117162 (P-1 stage 1)

B1 = 90000 (P-1 stage 1)

B1 = 75011 (P-1 stage 1)

B1 = 20000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁹

this exponent TF target: 63

TF double-checked to: 67.9

ECM T-Level=23.45 ~= 61-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

Last modified: 2023-07-11T14:45:05+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