M2300689 Mersenne number exponent details

Residue

Status

L-L

BFC3625DBA86AA88

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	12.9152	67.1642%	5000000	505000000	3.1582	10.9707%	16.0734	70.7665%	3.6023%
PrimeNet	2⁵⁸	0.0167	62.0690%	10000	190000	0.0019	2.9282%	0.0186	63.1796%	1.1107%
GPU72	2⁶²	0.2670	64.5161%	12000	200000	0.0022	1.7376%	0.2692	65.1327%	0.6166%
Difference	+5	+12.6482	+2.6481%	+4988000	+504800000	+3.1560	+9.2331%	+15.8042	+5.6338%	+5.6338%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

12.9152

67.1642%

5000000

505000000

3.1582

10.9707%

16.0734

70.7665%

3.6023%

PrimeNet

2⁵⁸

0.0167

62.0690%

10000

190000

0.0019

2.9282%

0.0186

63.1796%

1.1107%

GPU72

2⁶²

0.2670

64.5161%

12000

200000

0.0022

1.7376%

0.2692

65.1327%

0.6166%

Difference

+12.6482

+2.6481%

+4988000

+504800000

+3.1560

+9.2331%

+15.8042

+5.6338%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2300689	5157798512829442223	19	62.161	1120924756199 137 × 229 × 35728963	2010-01-08	229	35728963	0.3113	0.1907	0.3561
2300689	352813938672938689745889991	27	88.189	76675712943587483955 3 × 5 × 17 × 107 × 383 × 967 × 1543 × 4917481	2021-04-04	1543	4917481	27,688,885	0.0264	0.0490

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2300689

5157798512829442223

62.161

1120924756199
137 × 229 × 35728963

2010-01-08

229

35728963

0.3113

0.1907

0.3561

2300689

352813938672938689745889991

88.189

76675712943587483955
3 × 5 × 17 × 107 × 383 × 967 × 1543 × 4917481

2021-04-04

1543

4917481

27,688,885

0.0264

0.0490

exponent	prime factors	composite factor	digits	bits*
2300689	5157798512829442223 352813938672938689745889991	1819743208192781206236848990461031691248489993	46	150.350

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-08-08T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.284%
2021-04-04T13:48:30	ViliamF	3	5000000	505000000			352813938672938689745889991	27	88.189	0.490	0.311	0.980	10.971%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-04-27T03:10:46	Dylan Delgado	laptop-ryzen73700	2000000	146000000	2	7			-	-	1.023

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-01-14T17:07:00	Sturle Sunde	goose.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.265 GHz-days
Estimated T-Level:	0.150

Digits	B1	Curves	Complete	FacMiss
20	11000	3 / 100	0.030	97.030%
25	50000	3 / 280	0.011	98.932%

New Calculation Method

Total ECM effort:	0.265 GHz-days
Estimated T-Level:	0.150

Digits	B1	Complete	FacMiss
20	11000	0.115	89.102%
25	50000	0.011	98.938%

ECM Summary

B1	B2	factor	curves	GHz-days
		5157798512829442223	1	0.00000e+0
50000	5000000		3	0.265

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-15T10:36:00	jingfired	Hoss	50000	5000000						3	0.265
2010-01-08T11:14:00	Dmitry B. Khachaturov	mgp1-1			5157798512829442223	62.161		1		1	-

date	userid	compid	res64	spent (GHz-days)
1999-03-15T00:00:00	curtisc	v4_computers	BFC3625DBA86AA88	0.155

date

userid

compid

res64

spent (GHz-days)

1999-03-15T00:00:00

curtisc

v4_computers

BFC3625DBA86AA88

0.155

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-10-11T12:22:15

Oliver Kruse

GTX-3

5157798512829442223

852DE4D80E5144__

2017-11-22T15:39:04

storm5510

HP-Z220-CMT

5157798512829442223

852DE4D80E5144__

2021-04-07T21:31:23

Kiri

5157798512829442223

352813938672938689745889991

2A36B2CB6AF011__

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 = 5000000, B2 = 505000000 (P-1 stage 2)

B1 = 5000000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10¹

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