M4683611 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	6.3442	65.6716%	-	-	-	-	6.3442	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0656	62.2951%	20000	400000	0.0078	3.1201%	0.0734	63.4715%	1.1764%
GPU72	2⁶⁵	1.5577	64.6154%	30000	600000	0.0117	2.2313%	1.5694	65.4049%	0.7896%
Difference	+2	+4.7865	+1.0563%	-30000	-600000	-0.0117	-2.2313%	+4.7749	+0.2667%	+0.2667%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

6.3442

65.6716%

6.3442

65.6716%

0.0000%

PrimeNet

2⁶¹

0.0656

62.2951%

20000

400000

0.0078

3.1201%

0.0734

63.4715%

1.1764%

GPU72

2⁶⁵

1.5577

64.6154%

30000

600000

0.0117

2.2313%

1.5694

65.4049%

0.7896%

Difference

+4.7865

+1.0563%

-30000

-600000

-0.0117

-2.2313%

+4.7749

+0.2667%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
4683611	121773887	9	26.860	13 13	-	1	13	1.914e-12	3.157e-7	3.885e-7
4683611	1022347976303	13	39.895	109141 109141	2008-09-07	1	109141	2.539e-8	0.0011	0.0021
4683611	16800926425444617248831	23	73.831	1793586874042765 5 × 269 × 1333521839437	2019-03-31	269	1333521839437	744.81	13,871	25,907

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

4683611

121773887

26.860

13
13

1.914e-12

3.157e-7

3.885e-7

4683611

1022347976303

39.895

109141
109141

2008-09-07

109141

2.539e-8

0.0011

0.0021

4683611

16800926425444617248831

73.831

1793586874042765
5 × 269 × 1333521839437

2019-03-31

269

1333521839437

744.81

13,871

25,907

exponent	prime factors	composite factor	digits	bits*
4683611	121773887 1022347976303	124495286941000199761	21	66.755
4683611	121773887 16800926425444617248831	2045914116027406745617397076097	31	100.691
4683611	1022347976303 16800926425444617248831	17176393131068900051346780242451793	35	113.726
4683611	121773887 1022347976303 16800926425444617248831	2091636156210360424066997015058157243729391	43	140.586

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-07T23:42:00	Will Edgington	Manual testing	?	?	1022347976303	39.895	13	9.75111e-9	1.320	2.08651e-8

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.394 GHz-days
Estimated T-Level:	0.100

Digits	B1	Curves	Complete	FacMiss
20	11000	2 / 100	0.020	98.010%
25	50000	2 / 280	0.007	99.287%

New Calculation Method

Total ECM effort:	0.394 GHz-days
Estimated T-Level:	0.100

Digits	B1	Complete	FacMiss
20	11000	0.065	93.752%
25	50000	0.006	99.419%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	16800926425444617248831	2	0.394

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-03-31T16:07:24	MarkS	laptop64	50000	5000000	16800926425444617248831	73.831	2	2		2	0.394

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T06:32:37

kkmrkkblmbrbk

Manual testing

121773887

1022347976303

284BAEC3E5C4C5__

2018-04-07T05:54:15

trebor

Laptop

121773887

1022347976303

284BAEC3E5C4C5__

2019-04-01T10:38:27

Ruzovej

Masa_notebook

121773887

1022347976303

16800926425444617248831

C40F6BF81BB01BE0

2019-04-03T16:03:03

kkmrkkblmbrbk

c5.large

121773887

1022347976303

16800926425444617248831

C40F6BF81BB01BE0

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

10⁰

10¹

10²

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

10¹³

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