M1965109 Mersenne number exponent details

Residue

Status

L-L

2CDFFA8F88E62DC4

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	15.1207	68.6567%	-	-	-	-	15.1207	68.6567%	0.0000%
PrimeNet	2⁵⁸	0.0195	63.7931%	8000	140000	0.0012	2.4704%	0.0207	64.6876%	0.8945%
GPU72	2⁶²	0.3126	66.1290%	8000	90000	0.0010	1.1550%	0.3136	66.5202%	0.3912%
Difference	+5	+14.8081	+2.5277%	-8000	-90000	-0.0010	-1.1550%	+14.8071	+2.1365%	+2.1365%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

15.1207

68.6567%

15.1207

68.6567%

0.0000%

PrimeNet

2⁵⁸

0.0195

63.7931%

8000

140000

0.0012

2.4704%

0.0207

64.6876%

0.8945%

GPU72

2⁶²

0.3126

66.1290%

8000

90000

0.0010

1.1550%

0.3136

66.5202%

0.3912%

Difference

+14.8081

+2.5277%

-8000

-90000

-0.0010

-1.1550%

+14.8071

+2.1365%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1965109	29828419814824523868161	23	74.659	7589507710469120 2¹⁰ × 5 × 571 × 6491 × 399941	2009-08-20	6491	399941	3,169.0	0.0022	0.0032

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

1965109

29828419814824523868161

74.659

7589507710469120
2¹⁰ × 5 × 571 × 6491 × 399941

2009-08-20

6491

399941

3,169.0

0.0022

0.0032

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1998-12-27T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁸		-	-	0.020	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

1998-12-27T00:00:00

ANONYMOUS

v4_computers

2¹

2⁵⁸

0.020

-

-

ECM factoring results:

Old Calculation Method

Total ECM effort:	21.861 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:	21.861 GHz-days
Estimated T-Level:	24.696

Digits	B1	Complete	FacMiss
20	11000	10.920	0.002%
25	50000	1.030	35.695%
30	250000	0.066	93.647%
35	1000000	0.003	99.692%

ECM Summary

B1	B2	factor	curves	GHz-days
		29828419814824523868161	1	0.00000e+0
50000	50000		7	0.293
50000	5000000		25	1.741
50000	6487365		7	0.546
50000	6750000		7	0.556
50000	7048190		7	0.568
50000	7500000		217	18.16

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2008-11-19T22:14:00	Chang Chia-Tche	euler06	50000	5000000						3	0.209
2009-08-20T20:01:00	SubPrime	stor			29828419814824523868161	74.659		1		1	-
2015-03-13T06:35:00	Richard B. Woods	Puttputt	50000	5000000						1	0.070
2021-01-16T17:31:26	Kublenz	Medion_E4272	50000	5000000						7	0.487
2021-04-12T17:29:44	_p95holder_	TFL15_PRPt13pE_s	50000	5000000						7	0.487
2021-07-25T00:10:06	Daniil Tsarkov	9900KF	50000	5000000						7	0.487
2021-10-09T18:48:01	Dylan Delgado	laptop-ryzen73700	50000	6750000						7	0.556
2022-05-11T16:30:23	debrouxl	z400	50000	6487365						7	0.546
2022-06-05T05:25:06	JackBlock	school1	50000	50000						7	0.293
2022-06-17T22:05:52	debrouxl	o9020	50000	7048190						7	0.568
2022-06-24T08:50:40	TJAOI	Manual testing	50000	7500000						217	18.16

date	userid	compid	res64	spent (GHz-days)
1998-12-27T00:00:00	ANONYMOUS	v4_computers	2CDFFA8F88E62DC4	0.107

date

userid

compid

res64

spent (GHz-days)

1998-12-27T00:00:00

ANONYMOUS

v4_computers

2CDFFA8F88E62DC4

0.107

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