M1701493 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	2⁶⁷	17.4634	68.6567%	500000	15000000	0.0880	5.0243%	17.5515	70.2315%	1.5748%
PrimeNet	2⁵⁷	0.0113	63.1579%	8000	130000	0.0010	2.7318%	0.0123	64.1643%	1.0064%
GPU72	2⁶¹	0.1805	65.5738%	7000	100000	0.0008	1.3016%	0.1814	66.0218%	0.4481%
Difference	+6	+17.2829	+3.0829%	+493000	+14900000	+0.0872	+3.7227%	+17.3701	+4.2096%	+4.2096%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

17.4634

68.6567%

500000

15000000

0.0880

5.0243%

17.5515

70.2315%

1.5748%

PrimeNet

2⁵⁷

0.0113

63.1579%

8000

130000

0.0010

2.7318%

0.0123

64.1643%

1.0064%

GPU72

2⁶¹

0.1805

65.5738%

7000

100000

0.0008

1.3016%

0.1814

66.0218%

0.4481%

Difference

+17.2829

+3.0829%

+493000

+14900000

+0.0872

+3.7227%

+17.3701

+4.2096%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1701493	37432847	8	25.158	11 11	-	1	11	2.633e-12	1.054e-7	1.389e-7

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1701493

37432847

25.158

11
11

2.633e-12

1.054e-7

1.389e-7

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2016-03-16T12:29:21	alpertron	Manual testing	500000	15000000	12	-	skipped known factor: 37432847	-	-	0.088	-	-	5.024%

ECM factoring results:

Old Calculation Method

Total ECM effort:	15.634 GHz-days
Estimated T-Level:	24.696

Digits	B1	Curves	Complete	FacMiss
20	11000	263 / 100	2.630	7.113%
25	50000	263 / 280	0.939	39.025%

New Calculation Method

Total ECM effort:	15.634 GHz-days
Estimated T-Level:	24.696

Digits	B1	Complete	FacMiss
20	11000	10.115	0.004%
25	50000	0.936	39.222%
30	250000	0.059	94.267%
35	1000000	0.003	99.724%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		263	15.63

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-01-25T12:23:32	Richard B. Woods	Puttputt	50000	5000000						1	0.059
2018-03-06T23:23:48	Oliver Kruse	ECM-HTC	50000	5000000						3	0.178
2019-05-04T21:23:34	Chang Chia-Tche	exbpc13	50000	5000000						3	0.178
2020-02-01T19:18:52	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.178
2020-02-09T04:19:59	kracker	O0	50000	5000000						3	0.178
2020-02-17T12:10:35	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.178
2020-02-25T11:41:19	Niels_Mache_Nextcloud	SuperDry-Y	50000	5000000						3	0.178
2020-03-03T14:21:17	TJAOI	Manual testing	50000	5000000						244	14.50

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 = 15000000 (P-1 stage 2)

B1 = 500000 (P-1 stage 1)

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

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