M1762333 Mersenne number exponent details

Residue

Status

L-L

22F3A4784A34210B

double-checked

PRP

-unknown-

-unknown-

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	16.8606	68.6567%	2475400	86660000	0.5555	7.9568%	17.4161	71.1507%	2.4939%
PrimeNet	2⁵⁷	0.0109	63.1579%	8000	140000	0.0012	2.8062%	0.0121	64.1918%	1.0339%
GPU72	2⁶¹	0.1743	65.5738%	8000	120000	0.0011	1.4530%	0.1754	66.0740%	0.5002%
Difference	+6	+16.6863	+3.0829%	+2467400	+86540000	+0.5544	+6.5038%	+17.2407	+5.0767%	+5.0767%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

16.8606

68.6567%

2475400

86660000

0.5555

7.9568%

17.4161

71.1507%

2.4939%

PrimeNet

2⁵⁷

0.0109

63.1579%

8000

140000

0.0012

2.8062%

0.0121

64.1918%

1.0339%

GPU72

2⁶¹

0.1743

65.5738%

8000

120000

0.0011

1.4530%

0.1754

66.0740%

0.5002%

Difference

+16.6863

+3.0829%

+2467400

+86540000

+0.5544

+6.5038%

+17.2407

+5.0767%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1762333	14047060897448660398676132772001	32	103.470	3985359434751735454842000 2⁴ × 3³ × 5³ × 47² × 193 × 1033 × 27283 × 6142261	2015-05-02	27283	6142261	1.083e+11	0.0284	0.0492

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1762333

14047060897448660398676132772001

103.470

3985359434751735454842000
2⁴ × 3³ × 5³ × 47² × 193 × 1033 × 27283 × 6142261

2015-05-02

27283

6142261

1.083e+11

0.0284

0.0492

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2011-02-07T12:42:00	Carsten Kossendey	leela	95000	1591250		-		-	-	0.014	-	-	2.422%
2014-04-08T23:01:00	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.008	-	-	0.889%
2014-05-09T20:31:00	Jocelyn Larouche	Manual testing	136420	136420		-		-	-	0.011	-	-	1.059%
2014-09-17T22:20:00	ANONYMOUS	Manual testing	172840	172840		-		-	-	0.014	-	-	1.202%
2015-05-02T02:39:00	mikr	MSI	2475400	86660000	12		14047060897448660398676132772001	32	103.470	0.556	0.191	1.111	7.957%
2016-03-16T12:30:24	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 14047060897448660398676132772001	-	-	0.101	-	-	5.046%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-25T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.022	-	-
2022-03-08T23:06:26	LordJulius	Manual testing	2⁵⁸	2⁶⁰		-	-	0.065	-	-
2010-04-20T13:12:00	Architects Cubed	m1_f2	2⁶⁰	2⁶¹		-	-	0.087	-	-
2010-12-13T03:32:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.906	-	-
2015-04-29T12:00:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.114	-	-
2015-04-29T12:00:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	2.120	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	17.677 GHz-days
Estimated T-Level:	24.589

Digits	B1	Curves	Complete	FacMiss
20	11000	257 / 100	2.570	7.555%
25	50000	257 / 280	0.918	39.872%

New Calculation Method

Total ECM effort:	17.677 GHz-days
Estimated T-Level:	24.589

Digits	B1	Complete	FacMiss
20	11000	8.290	0.025%
25	50000	0.749	47.271%
30	250000	0.046	95.491%
35	1000000	0.002	99.789%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		257	17.68

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-08-03T04:32:00	Sturle Sunde	jobbtest	50000	5000000						3	0.206
2009-07-06T03:12:00	ksims	ZhViZCJBj2sims	50000	5000000						3	0.206
2010-09-01T21:09:00	James Classen	towerofart	50000	5000000						3	0.206
2012-01-24T08:16:00	OS1	L3	50000	5000000						3	0.206
2013-05-26T21:04:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2014-02-15T19:20:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2015-01-12T07:48:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.206
2020-06-19T20:34:59	kracker	O0	50000	5000000						3	0.206
2020-07-17T04:07:50	nordi	sweet16	50000	5000000						3	0.206
2020-08-28T11:14:45	TJAOI	Manual testing	50000	5000000						230	15.82

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	ANONYMOUS	v4_computers	22F3A4784A34210B	0.096

date

userid

compid

res64

spent (GHz-days)

1999-01-10T00:00:00

ANONYMOUS

v4_computers

22F3A4784A34210B

0.096

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 = 2475400, B2 = 86660000 (P-1 stage 2)

B1 = 2475400 (P-1 stage 1)

B1 = 500000, B2 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 95000, B2 = 1591250 (P-1 stage 2)

B1 = 172840 (P-1 stage 1)

B1 = 136420 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 95000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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