M3239947 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁸	18.3969	67.6471%	4000000	150000000	1.4753	8.7712%	19.8722	70.4848%	2.8377%
PrimeNet	2⁶⁰	0.0474	63.3333%	14000	260000	0.0034	2.7693%	0.0508	64.3488%	1.0154%
GPU72	2⁶⁴	1.0986	65.6250%	16000	280000	0.0037	1.6539%	1.1023	66.1935%	0.5685%
Difference	+4	+17.2983	+2.0221%	+3984000	+149720000	+1.4716	+7.1173%	+18.7699	+4.2913%	+4.2913%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3239947	7273369195761990437381785951	28	92.555	1122451878960055586925 3² × 5² × 349 × 4937 × 206939 × 13991179	2020-05-30	206939	13991179	509,576,133	0.1182	0.1757
3239947	278957119359247822881919005049	30	97.816	43049642379836432954292 2² × 3² × 7 × 31 × 196769 × 1665997 × 16810337	2020-05-30	1665997	16810337	1.945e+10	0.3074	0.4184

exponent	prime factors	composite factor	digits	bits*
3239947	7273369195761990437381785951 278957119359247822881919005049	20289581188860539107114821314603290683145457244606 06266599	58	190.371

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-03T21:40:00	Carsten Kossendey	durandal	15000	191250		-		-	-	0.003	-	-	0.784%
2011-09-08T17:21:00	harlee	P4_2600	55000	866250		-		-	-	0.012	-	-	1.796%
2013-09-05T07:22:00	Squeeky_Squirrel	T7500_2200	115000	2587500		-		-	-	0.031	-	-	2.747%
2017-01-12T03:13:43	Jocelyn Larouche	low 4M	138000	138000		-		-	-	0.017	-	-	1.036%
2017-01-17T05:18:34	Squeeky_Squirrel	P4_2600	205000	5842500	12	-		-	-	0.063	-	-	3.621%
2017-01-30T01:30:42	Jocelyn Larouche	low 4M	165600	165600		-		-	-	0.020	-	-	1.143%
2017-02-04T18:42:52	Jocelyn Larouche	low 4M	198720	198720		-		-	-	0.025	-	-	1.256%
2018-08-06T19:37:26	Jocelyn Larouche	low 4M	410000	820000		-		-	-	0.053	-	-	2.333%
2018-08-07T17:09:27	Jocelyn Larouche	low 4M	410000	1230000		-		-	-	0.056	-	-	2.666%
2018-08-08T00:41:55	Jocelyn Larouche	low 4M	410000	1640000		-		-	-	0.059	-	-	2.904%
2018-08-08T12:55:42	Jocelyn Larouche	low 4M	410000	2050000		-		-	-	0.062	-	-	3.090%
2018-08-08T23:04:21	Jocelyn Larouche	low 4M	410000	2460000		-		-	-	0.064	-	-	3.244%
2018-08-11T10:43:51	Jocelyn Larouche	low 4M	410000	4100000		-		-	-	0.075	-	-	3.677%
2020-05-30T18:38:00	mikr	MSI	4000000	150000000	12		7273369195761990437381785951 278957119359247822881919005049	58	190.371	1.475	0.552	2.951	8.771%
2021-01-16T04:02:55	Jocelyn Larouche	Manual testing	430000	3239947	6	-		-	-	0.072	-	-	3.494%
2021-01-17T23:14:15	Jocelyn Larouche	Manual testing	430000	6479894	6	-		-	-	0.094	-	-	4.094%
2022-01-02T21:53:15	Jocelyn Larouche	Manual testing	3239947	3239947		-		-	-	0.400	-	-	3.824%
2022-01-03T11:28:02	Jocelyn Larouche	Manual testing	3239947	116701200		-	skipped known factor: 7273369195761990437381785951 skipped known factor: 278957119359247822881919005049	-	-	1.163	-	-	8.323%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-08-18T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁰		-	-	0.047	-	-
2009-04-04T07:04:00	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.047	-	-
2011-07-25T03:49:00	Carsten Kossendey	Manual testing	2⁶¹	2⁶²		-	-	0.095	-	-
2012-12-30T00:01:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.303	-	-
2015-02-18T11:40:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.606	-	-
2015-02-18T11:40:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.153	-	-
2015-06-24T21:57:00	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	2.306	-	-
2021-02-21T11:36:42	Jocelyn Larouche	Manual testing	2⁶⁵	2⁶⁶		-	-	2.306	-	-
2021-02-22T09:03:45	Jocelyn Larouche	Manual testing	2⁶⁶	2⁶⁷		-	-	4.613	-	-
2017-03-26T03:14:48	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	4.613	-	-
2018-11-19T15:52:51	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	9.226	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	1.766 GHz-days
Estimated T-Level:	0.750

Digits	B1	Curves	Complete	FacMiss
20	11000	15 / 100	0.150	86.006%
25	50000	15 / 280	0.054	94.775%

New Calculation Method

Total ECM effort:	1.766 GHz-days
Estimated T-Level:	0.750

Digits	B1	Complete	FacMiss
20	11000	0.484	61.639%
25	50000	0.044	95.721%
30	250000	0.003	99.731%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		15	1.766

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-05-21T22:37:00	Net_Force	Vista64	50000	5000000						3	0.353
2011-09-15T13:12:00	Pool Party	desk_1	50000	5000000						3	0.353
2014-05-28T08:23:00	Lukasz Wrobel	w1	50000	5000000						3	0.353
2016-08-20T10:09:07	Dennis Schreiber	z400	50000	5000000						3	0.353
2018-11-24T12:27:54	volki	home	50000	5000000						3	0.353

date	userid	compid	res64	spent (GHz-days)
1998-02-12T00:00:00	Vassilo	v4_computers	A9FFB792295ED56D	0.276
1999-09-14T00:00:00	ANONYMOUS	v4_computers	A9FFB792295ED56D	0.276

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-05-30T19:29:05

mnd9

75211backdoor

7273369195761990437381785951

278957119359247822881919005049

E5A6BC7E5D2B2B33

2020-05-30T19:47:05

ATH

ec2-PRPCF

7273369195761990437381785951

278957119359247822881919005049

E5A6BC7E5D2B2B33

2020-05-30T20:15:05

mikr

MSI

7273369195761990437381785951

278957119359247822881919005049

E5A6BC7E5D2B2B33

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 = 4000000, B2 = 150000000 (P-1 stage 2)

B1 = 3239947, B2 = 116701200 (P-1 stage 2)

B1 = 4000000 (P-1 stage 1)

B1 = 3239947 (P-1 stage 1)

B1 = 430000, B2 = 6479894 (P-1 stage 2)

B1 = 410000, B2 = 4100000 (P-1 stage 2)

B1 = 430000, B2 = 3239947 (P-1 stage 2)

B1 = 410000, B2 = 2460000 (P-1 stage 2)

B1 = 205000, B2 = 5842500 (P-1 stage 2)

B1 = 410000, B2 = 2050000 (P-1 stage 2)

B1 = 410000, B2 = 1640000 (P-1 stage 2)

B1 = 410000, B2 = 1230000 (P-1 stage 2)

B1 = 410000, B2 = 820000 (P-1 stage 2)

B1 = 430000 (P-1 stage 1)

B1 = 410000 (P-1 stage 1)

B1 = 115000, B2 = 2587500 (P-1 stage 2)

B1 = 205000 (P-1 stage 1)

B1 = 198720 (P-1 stage 1)

B1 = 165600 (P-1 stage 1)

B1 = 138000 (P-1 stage 1)

B1 = 115000 (P-1 stage 1)

B1 = 55000, B2 = 866250 (P-1 stage 2)

B1 = 55000 (P-1 stage 1)

B1 = 15000, B2 = 191250 (P-1 stage 2)

B1 = 15000 (P-1 stage 1)

10³

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10³

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10⁹

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