M1872943 Mersenne number exponent details

is 2 ^1872943 - 1

has 563813 decimal digits

takes 0.102 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	2⁶⁷	15.8648	68.6567%	1388160	13881600	0.1627	5.5237%	16.0276	70.3880%	1.7313%
PrimeNet	2⁵⁷	0.0103	63.1579%	9000	160000	0.0014	3.0300%	0.0116	64.2742%	1.1163%
GPU72	2⁶¹	0.1640	65.5738%	10000	150000	0.0014	1.6902%	0.1654	66.1556%	0.5819%
Difference	+6	+15.7008	+3.0829%	+1378160	+13731600	+0.1614	+3.8335%	+15.8622	+4.2324%	+4.2324%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1872943	7762959689135156328527	22	72.717	2072396140495241 11 × 188399649135931	2018-01-02	11	188399649135931	913.08	807,434	1,508,061

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-01-10T20:54:00	markr	tiny	275000	6000000		-		-	-	0.046	-	-	3.929%
2015-10-07T11:09:26	Bruno Victal	5820K-linux	500000	15000000	12	-		-	-	0.101	-	-	5.083%
2016-11-13T17:04:47	Jocelyn Larouche	low 4M	600000	600000		-		-	-	0.047	-	-	2.160%
2016-12-21T00:09:31	Jocelyn Larouche	low 4M	720000	720000		-		-	-	0.057	-	-	2.325%
2017-01-03T05:50:41	Jocelyn Larouche	low 4M	864000	864000		-		-	-	0.068	-	-	2.497%
2017-01-21T06:59:43	Jocelyn Larouche	low 4M	1156800	1156800		-		-	-	0.091	-	-	2.787%
2017-04-03T03:17:32	Jocelyn Larouche	low 4M	1388160	13881600	12	-		-	-	0.163	-	-	5.524%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-01-09T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.021	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁵⁸	2⁶⁰		-	-	0.062	-	-
2010-04-11T14:32:00	Architects Cubed	Manual testing	2⁶⁰	2⁶¹		-	-	0.082	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁶¹	2⁶²		-	-	0.164	-	-
2011-03-08T05:15:00	GrunwalderGIMP	Manual testing	2¹	2⁶³		-	-	0.852	-	-
2016-02-23T16:28:56	Mark Rose	Manual testing	2⁶²	2⁶³		-	-	0.524	-	-
2015-05-08T22:25:00	snme2pm1	Manual testing	2⁶³	2⁶⁴		-	-	1.048	-	-
2015-05-08T22:25:00	snme2pm1	Manual testing	2⁶⁴	2⁶⁵		-	-	1.995	-	-
2015-09-11T08:33:00	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.990	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	19.197 GHz-days
Estimated T-Level:	24.482

Digits	B1	Curves	Complete	FacMiss
20	11000	251 / 100	2.510	8.025%
25	50000	251 / 280	0.896	40.737%

New Calculation Method

Total ECM effort:	19.197 GHz-days
Estimated T-Level:	24.482

Digits	B1	Complete	FacMiss
20	11000	8.553	0.019%
25	50000	0.775	46.083%
30	250000	0.048	95.321%
35	1000000	0.002	99.780%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		45	3.116
50000	5000000	7762959689135156328527	1	0.069
50000	6600000		205	16.01

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-08T18:59:00	Bruce	brucem-desktop	50000	5000000						3	0.208
2009-07-22T04:38:00	James Hintz	09_071509	50000	5000000						3	0.208
2011-03-16T14:38:00	James Hintz	ryan	50000	5000000						3	0.208
2012-09-09T23:10:00	Donna Noble	Opt6128x4x4	50000	5000000						3	0.208
2013-10-02T10:02:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2014-06-18T11:08:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-04-01T18:05:00	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2015-11-21T22:40:45	Chang Chia-Tche	exbpc13	50000	5000000						3	0.208
2016-02-29T11:20:36	Bruce	DESK3	50000	5000000						3	0.208
2016-04-13T13:21:07	Bruce	DESK3	50000	5000000						3	0.208
2016-07-08T19:16:37	Bruce	DESK3	50000	5000000						3	0.208
2016-09-25T22:55:56	Bruce	DESK3	50000	5000000						3	0.208
2016-11-28T20:03:34	Bruce	DESK3	50000	5000000						3	0.208
2017-01-28T18:34:18	Bruce	DESK3	50000	5000000						3	0.208
2017-09-20T23:52:03	ANONYMOUS	Worker	50000	5000000						3	0.208
2018-01-02T21:57:05	Bruce	DESK3	50000	5000000	7762959689135156328527	72.717	1	2		1	0.069
2021-10-07T10:31:17	TJAOI	Manual testing	50000	6600000						205	16.01

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-01-10T00:00:00	Ethan O'Connor	v4_computers	0501DB93CB2087C8	0.102
2015-06-27T00:55:00	MadPoo	Manual testing	0501DB93CB2087C8	0.102

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-04T03:20:41

BloodERazor

Manual testing

7762959689135156328527

545F55D516ECF3__

2018-01-04T10:51:32

ATH

work

7762959689135156328527

545F55D516ECF3__

2018-01-06T06:23:17

Oliver Kruse

GTX-2

7762959689135156328527

545F55D516ECF3__

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 = 1388160, B2 = 13881600 (P-1 stage 2)

B1 = 1388160 (P-1 stage 1)

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

B1 = 1156800 (P-1 stage 1)

B1 = 864000 (P-1 stage 1)

B1 = 720000 (P-1 stage 1)

B1 = 600000 (P-1 stage 1)

B1 = 275000, B2 = 6000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 275000 (P-1 stage 1)

10⁰

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10⁴

10⁵

10⁶

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TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁶³

2⁶²

2⁶¹

2⁶⁰

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-10-07T10:31:17+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