M102256103 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

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	2⁷⁶	149.6634	64.4737%	737000	737000	4.2549	1.5127%	153.9183	65.0111%	0.5374%
PrimeNet	2⁷²	9.3523	62.5000%	450000	22000000	9.3765	5.3790%	18.7288	64.5171%	2.0171%
GPU72	2⁷⁶	149.6634	64.4737%	650000	22000000	10.4682	3.8509%	160.1316	65.8418%	1.3681%
Difference	-	-	-	+87000	-21263000	-6.2133	-2.3382%	-6.2133	-0.8307%	-0.8307%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷⁶

149.6634

64.4737%

737000

4.2549

1.5127%

153.9183

65.0111%

0.5374%

PrimeNet

2⁷²

9.3523

62.5000%

450000

22000000

9.3765

5.3790%

18.7288

64.5171%

2.0171%

GPU72

2⁷⁶

149.6634

64.4737%

650000

22000000

10.4682

3.8509%

160.1316

65.8418%

1.3681%

Difference

+87000

-21263000

-6.2133

-2.3382%

-6.2133

-0.8307%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
102256103	417298926313351006345081	24	78.465	2040459757758180 2² × 3² × 5 × 11 × 23 × 71 × 113 × 1123 × 4973	2021-01-20	1123	4973	1,026.3	0.0077	0.0132

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

102256103

417298926313351006345081

78.465

2040459757758180
2² × 3² × 5 × 11 × 23 × 71 × 113 × 1123 × 4973

2021-01-20

1123

4973

1,026.3

0.0077

0.0132

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2021-01-20T01:04:13	Jwb52z	Clay	737000	737000			417298926313351006345081	24	78.465	4.255	814.3	8.510	1.513%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-12T01:22:00	1997rj7	Manual testing	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-18T02:37:00	garo	north	2⁶⁴	2⁶⁵		-	-	0.037	-	-
2012-04-21T14:33:00	oodaira	Linux01	2⁶⁵	2⁶⁶		-	-	0.073	-	-
2013-09-07T01:27:00	processinfo	Manual testing	2⁶⁶	2⁶⁷		-	-	0.146	-	-
2013-09-08T21:22:00	Cow_tipping	Manual testing	2⁶⁷	2⁶⁸		-	-	0.292	-	-
2013-09-15T22:12:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.585	-	-
2013-12-15T10:39:00	ANONYMOUS		2⁶⁹	2⁷⁰		-	-	1.169	-	-
2014-04-22T18:26:00	Andreas_Truetsch	Manual testing	2⁷⁰	2⁷¹		-	-	2.339	-	-
2014-12-14T21:29:00	RichD0	Manual testing	2⁷¹	2⁷²		-	-	4.677	-	-
2019-11-26T17:47:23	adams	Manual testing	2⁷²	2⁷³		-	-	9.354	-	-
2020-03-29T16:51:28	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	18.71	-	-
2020-10-25T06:08:02	Mark Rose	Manual testing	2⁷⁴	2⁷⁵		-	-	37.42	-	-
2020-10-25T06:08:02	Mark Rose	Manual testing	2⁷⁵	2⁷⁶		-	-	74.83	-	-

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 = 737000 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10²

10³

10⁴

10⁵

10⁶

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