M2330387 Mersenne number exponent details

Residue

Status

L-L

C03F2F12198C152D

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	12.7506	67.1642%	5000000	505000000	3.1582	10.9828%	15.9089	70.7705%	3.6063%
PrimeNet	2⁵⁸	0.0165	62.0690%	10000	190000	0.0019	2.9351%	0.0184	63.1823%	1.1133%
GPU72	2⁶²	0.2636	64.5161%	13000	200000	0.0023	1.7835%	0.2659	65.1490%	0.6329%
Difference	+5	+12.4870	+2.6481%	+4987000	+504800000	+3.1560	+9.1992%	+15.6430	+5.6215%	+5.6215%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

12.7506

67.1642%

5000000

505000000

3.1582

10.9828%

15.9089

70.7705%

3.6063%

PrimeNet

2⁵⁸

0.0165

62.0690%

10000

190000

0.0019

2.9351%

0.0184

63.1823%

1.1133%

GPU72

2⁶²

0.2636

64.5161%

13000

200000

0.0023

1.7835%

0.2659

65.1490%

0.6329%

Difference

+12.4870

+2.6481%

+4987000

+504800000

+3.1560

+9.1992%

+15.6430

+5.6215%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2330387	45307546180443210491887	23	75.262	9721034785304589 3 × 37 × 139 × 1249 × 504443209	2021-04-20	1249	504443209	4,142.8	2.6923	5.0282
2330387	944027044326069660308239	24	79.643	202547268828325437 3 × 2137 × 56171 × 562455877	2017-09-12	56171	562455877	64,103	3.0070	5.6065

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

2330387

45307546180443210491887

75.262

9721034785304589
3 × 37 × 139 × 1249 × 504443209

2021-04-20

1249

504443209

4,142.8

2.6923

5.0282

2330387

944027044326069660308239

79.643

202547268828325437
3 × 2137 × 56171 × 562455877

2017-09-12

56171

562455877

64,103

3.0070

5.6065

exponent	prime factors	composite factor	digits	bits*
2330387	45307546180443210491887 944027044326069660308239	42771548906390710802982839613539661607228756993	47	154.905

exponent

prime factors

composite factor

digits

bits*

2330387

45307546180443210491887
944027044326069660308239

42771548906390710802982839613539661607228756993

154.905

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-09-21T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.285%
2010-02-22T08:14:00	Bud	annan	500000	10000000		-		-	-	0.100	-	-	4.828%
2018-03-18T01:19:45	alpertron	Manual testing	500000	15000000	12	-		-	-	0.126	-	-	5.218%
2021-04-20T09:41:11	ViliamF	3	5000000	505000000			45307546180443210491887	23	75.262	3.158	0.315	6.316	10.983%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:12	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.066	-	-
2009-01-17T12:35:00	Sturle Sunde	klengel.ifi	2⁶⁰	2⁶¹		-	-	0.066	-	-
2012-05-27T12:42:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.132	-	-
2013-01-23T08:26:00	dbaugh	Manual testing	2⁶²	2⁶³		-	-	0.421	-	-
2015-03-03T21:35:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.842	-	-
2015-03-03T21:35:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.603	-	-
2015-10-25T20:35:17	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.207	-	-
2017-06-06T00:53:14	Gordon Spence	Manual testing	2⁶⁶	2⁶⁷		-	-	6.413	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	2.571 GHz-days
Estimated T-Level:	1.450

Digits	B1	Curves	Complete	FacMiss
20	11000	29 / 100	0.290	74.717%
25	50000	29 / 280	0.104	90.144%

New Calculation Method

Total ECM effort:	2.571 GHz-days
Estimated T-Level:	1.450

Digits	B1	Complete	FacMiss
20	11000	0.935	39.240%
25	50000	0.085	91.893%
30	250000	0.005	99.481%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		27	2.393
50000	5000000	944027044326069660308239	2	0.177

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-01-22T17:15:00	Johan Koolwaaij	C0B5A3B75	50000	5000000						3	0.266
2010-01-21T10:44:00	SubPrime	abd0	50000	5000000						3	0.266
2011-12-11T23:07:00	S36049	Wolle5	50000	5000000						3	0.266
2013-10-16T20:29:00	Kripke	Kripke	50000	5000000						3	0.266
2015-05-16T11:27:00	Jayder	HPJared	50000	5000000						3	0.266
2016-02-16T13:07:44	Sintax	cloud	50000	5000000						3	0.266
2016-05-01T16:01:44	Bruce	Desk6	50000	5000000						3	0.266
2016-08-19T19:05:07	Bruce	Desk6	50000	5000000						3	0.266
2017-02-08T15:04:01	Bruce	Desk6	50000	5000000						3	0.266
2017-09-12T11:52:51	Bruce	Desk6	50000	5000000	944027044326069660308239	79.643	2	2		2	0.177

date	userid	compid	res64	spent (GHz-days)
2015-11-15T01:35:40	MadPoo	Manual testing	C03F2F12198C152D	0.157

date

userid

compid

res64

spent (GHz-days)

2015-11-15T01:35:40

MadPoo

Manual testing

C03F2F12198C152D

0.157

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-28T13:10:14

alpertron

Manual testing

944027044326069660308239

841B1FE1D05808__

2017-10-31T06:13:18

Oliver Kruse

GTX-0

944027044326069660308239

841B1FE1D05808__

2021-04-20T10:00:06

mikr

Nitron

45307546180443210491887

944027044326069660308239

77450EFB783813__

2021-04-21T03:44:46

marssystems

system11

45307546180443210491887

944027044326069660308239

77450EFB78381349

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

B1 = 500000, B2 = 10000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

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

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

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