M3526111 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	16.9039	67.6471%	500000	145208700	1.2768	7.1650%	18.1807	69.9651%	2.3181%
PrimeNet	2⁶⁰	0.0436	63.3333%	15000	300000	0.0046	2.9643%	0.0482	64.4202%	1.0869%
GPU72	2⁶⁴	1.0094	65.6250%	20000	360000	0.0059	1.9180%	1.0153	66.2843%	0.6593%
Difference	+4	+15.8944	+2.0221%	+480000	+144848700	+1.2710	+5.2470%	+17.1654	+3.6808%	+3.6808%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
3526111	636644645903751757903	21	69.109	90275752224441 3⁵ × 7 × 8123 × 6533567	2009-07-24	8123	6533567	40.177	0.0554	0.1012

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2009-07-06T10:57:00	Carsten Kossendey	leela	20000	245000		-		-	-	0.005	-	-	0.954%
2022-03-01T15:47:05	Jocelyn Larouche	Manual testing	100000	100000		-		-	-	0.015	-	-	0.877%
2022-04-30T16:38:21	Jocelyn Larouche	Manual testing	500000	145208700		-	skipped known factor: 636644645903751757903	-	-	1.277	-	-	7.165%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-03-18T05:52:00	S485122	USB-Z	2⁶⁰	2⁶¹		-	-	0.044	-	-
2022-06-04T00:52:48	LordJulius	Manual testing	2¹	2⁶²		-	-	0.174	-	-
2022-06-04T00:52:48	LordJulius	Manual testing	2⁶²	2⁶³		-	-	0.278	-	-
2022-06-04T00:52:48	LordJulius	Manual testing	2⁶³	2⁶⁴		-	-	0.557	-	-
2022-06-04T00:52:48	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	1.060	-	-
2022-06-04T00:52:48	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	2.119	-	-
2022-06-04T00:52:48	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	4.239	-	-
2022-02-22T08:55:13	Jocelyn Larouche	Manual testing	2⁶⁷	2⁶⁸		-	-	8.477	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Curves	Complete	FacMiss

New Calculation Method

Total ECM effort:

0.000 GHz-days

Digits	B1	Complete	FacMiss

ECM Summary

B1	B2	factor	curves	GHz-days
		636644645903751757903	1	0.00000e+0

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-07-24T16:52:00	Sid & Andy	RollerBob			636644645903751757903	69.109		1		1	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
1999-07-12T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-07-30T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-08-16T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-08-31T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-10-07T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-11-10T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-12-15T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
1999-12-30T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-01-19T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-02-16T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-03-08T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-04-19T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-05-05T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-06-11T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-06-28T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2000-08-10T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-01-08T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-01-28T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-02-11T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-03-05T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-03-17T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-04-01T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-04-15T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-05-06T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-05-13T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-06-09T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-06-23T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370
2001-07-17T00:00:00	Walt Cooney	v4_computers	2A2D9D5D22D574BC	0.370

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 = 145208700 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

B1 = 100000 (P-1 stage 1)

B1 = 20000, B2 = 245000 (P-1 stage 2)

B1 = 20000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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