M15106661 Mersenne number exponent details

Residue

Status

L-L

0A224763DF8F7180

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	2⁷²	63.3054	66.6667%	360000	9630000	0.6291	3.5264%	63.9345	67.8421%	1.1755%
PrimeNet	2⁶⁵	0.4829	63.0769%	65000	2000000	0.1239	4.1472%	0.6069	64.6082%	1.5313%
GPU72	2⁶⁹	7.9029	65.2174%	100000	2600000	0.1718	2.9964%	8.0747	66.2596%	1.0422%
Difference	+3	+55.4025	+1.4493%	+260000	+7030000	+0.4573	+0.5299%	+55.8598	+1.5825%	+1.5825%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁷²

63.3054

66.6667%

360000

9630000

0.6291

3.5264%

63.9345

67.8421%

1.1755%

PrimeNet

2⁶⁵

0.4829

63.0769%

65000

2000000

0.1239

4.1472%

0.6069

64.6082%

1.5313%

GPU72

2⁶⁹

7.9029

65.2174%

100000

2600000

0.1718

2.9964%

8.0747

66.2596%

1.0422%

Difference

+55.4025

+1.4493%

+260000

+7030000

+0.4573

+0.5299%

+55.8598

+1.5825%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15106661	27824765115143068904387887	26	84.525	920943586247916363 3 × 11 × 1481 × 659689 × 28564379	2022-02-23	659689	28564379	279,724	1.5853	2.1138

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

15106661

27824765115143068904387887

84.525

920943586247916363
3 × 11 × 1481 × 659689 × 28564379

2022-02-23

659689

28564379

279,724

1.5853

2.1138

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-16T00:00:00	ANONYMOUS	v4_computers	155000	1123750		-		-	-	0.151	-	-	1.843%
2019-03-27T16:54:18	harlee	i5-5250U_1600	360000	9630000	12	-		-	-	0.629	-	-	3.526%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2022-02-23T21:17:01	ATH	ec2-P_1	1000000	29000000	2	7	27824765115143068904387887	P-1	26	84.525	2.094

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-12-31T00:00:00	Net_Force	v4_computers	2¹	2⁵⁷		-	-	0.001	-	-
2000-12-31T00:00:00	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-
2001-04-21T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.483	-	-
2014-05-14T07:05:00	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.495	-	-
2014-05-14T07:05:00	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.989	-	-
2016-11-19T00:10:21	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	1.979	-	-
2017-10-08T22:00:40	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.957	-	-
2021-06-27T22:13:34	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.915	-	-
2021-09-08T15:11:55	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.83	-	-
2021-10-09T10:08:32	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.66	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.763 GHz-days
Estimated T-Level:	0.050

Digits	B1	Curves	Complete	FacMiss
20	11000	1 / 100	0.010	99.000%
25	50000	1 / 280	0.004	99.643%

New Calculation Method

Total ECM effort:	0.763 GHz-days
Estimated T-Level:	0.050

Digits	B1	Complete	FacMiss
20	11000	0.032	96.826%
25	50000	0.003	99.709%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.763

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-11-27T16:59:59	Bruce	test	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-07-27T00:00:00	ANONYMOUS	v4_computers	0A224763DF8F7180	7.576
2002-09-22T00:00:00	ANONYMOUS	v4_computers	350E466DA4D736__	7.576
2005-11-13T00:00:00	BCG	v4_computers	0A224763DF8F7180	7.576

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 = 1000000, B2 = 29000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 360000, B2 = 9630000 (P-1 stage 2)

B1 = 360000 (P-1 stage 1)

B1 = 155000, B2 = 1123750 (P-1 stage 2)

B1 = 155000 (P-1 stage 1)

10⁴

10⁵

10⁶

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