M261251 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
Actual	2⁶⁷	113.7370	73.1343%	30000000	10035812696910	5,417.9473	23.4633%	5,531.6843	79.4379%
Target	2⁴⁴	0.0000	59.0909%	5000	120000	0.0001	10.5596%	0.0001	63.4107%
Difference	+23	+113.7370	+14.0434%	+29995000	+10035812576910	+5,417.9472	+12.9037%	+5,531.6842	+16.0271%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

113.7370

73.1343%

30000000

10035812696910

5,417.9473

23.4633%

5,531.6843

79.4379%

Target

2⁴⁴

0.0000

59.0909%

5000

120000

0.0001

10.5596%

0.0001

63.4107%

Difference

+23

+113.7370

+14.0434%

+29995000

+10035812576910

+5,417.9472

+12.9037%

+5,531.6842

+16.0271%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
261251	31984433662328087	17	54.828	61213992793 61213992793	2014-04-23	1	61213992793	0.0183	33.045	61.720
261251	523049154324752487999828405009298144769	39	128.620	1001047181302181595476818088752384 2⁸ × 7 × 997 × 90481 × 200467 × 585313 × 52775569741	2022-05-03	585313	52775569741	6.895e+11	28.495	53.211

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

261251

31984433662328087

54.828

61213992793
61213992793

2014-04-23

61213992793

0.0183

33.045

61.720

261251

523049154324752487999828405009298144769

128.620

1001047181302181595476818088752384
2⁸ × 7 × 997 × 90481 × 200467 × 585313 × 52775569741

2022-05-03

585313

52775569741

6.895e+11

28.495

53.211

exponent	prime factors	composite factor	digits	bits*
261251	31984433662328087 523049154324752487999828405009298144769	16729430978636851984894907756933564706458038414500 826903	56	183.448

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-09-15	Oliver Kruse	Ollaptop	30000000	3000000000	24	-		-	-	1.901	-	-	12.609%
2022-05-03	Oliver Kruse	Threadripper-PC	30000000	10035812696910			523049154324752487999828405009298144769	39	128.620	5,418	0.004	10,836	23.463%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-09-15

Oliver Kruse

Ollaptop

30000000

3000000000

1.901

-

-

12.609%

2022-05-03

Oliver Kruse

Threadripper-PC

30000000

10035812696910

523049154324752487999828405009298144769

128.620

5,418

0.004

10,836

23.463%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2001-02-18	ANONYMOUS	v4_computers	?	?	31984433662328087	54.828	17	0.009	0.004	0.019
2003-08-25	ANONYMOUS	v4_computers	?	?	31984433662328087	54.828	17	0.009	0.004	0.019
1999-11-24	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.002	-	-
2000-04-27	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.009	-	-

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2001-02-18

ANONYMOUS

v4_computers

31984433662328087

54.828

0.009

0.004

0.019

2003-08-25

ANONYMOUS

v4_computers

31984433662328087

54.828

0.009

0.004

0.019

1999-11-24

ANONYMOUS

v4_computers

2⁵²

2⁵³

0.002

-

-

2000-04-27

ANONYMOUS

v4_computers

2¹

2⁵⁴

0.009

-

-

ECM factoring results:

Total ECM effort:	13.393 GHz-days
Estimated T-Level:	27.691

Digits	B1	Complete	FacMiss
20	11000	38.617	0.000%
25	50000	5.291	0.504%
30	250000	0.538	58.375%
35	1000000	0.043	95.764%
40	3000000	0.003	99.715%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	2.049
250000	25000000	197	7.182
250000	31250000	7	0.276
250000	34250000	7	0.287
250000	36307252	7	0.294
250000	36500000	7	0.294
250000	36718666	8	0.337
250000	36750000	42	1.771
250000	38500000	21	0.903

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-22	TJAOI	Manual testing	50000	5000000						50	0.365
2015-01-30	TJAOI	Manual testing	50000	5000000						50	0.365
2015-10-02	TJAOI	Manual testing	50000	5000000						90	0.656
2016-04-08	TJAOI	Manual testing	50000	5000000						91	0.664
2017-06-09	TJAOI	Manual testing	250000	25000000						44	1.604
2020-01-16	kracker	O0	250000	25000000						3	0.109
2020-01-18	kracker	O0	250000	25000000						3	0.109
2020-01-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-31	kracker	O0	250000	25000000						3	0.109
2020-02-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-12	kracker	O0	250000	25000000						3	0.109
2020-02-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-23	kracker	O0	250000	25000000						3	0.109
2020-02-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-03-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-04-13	Oliver Kruse	Melissa	250000	25000000						3	0.109
2020-04-29	Greg	azure4	250000	25000000						3	0.109
2020-05-04	MarkS	laptop64	250000	25000000						3	0.109
2020-05-09	Greg Hogan	azure5	250000	25000000						3	0.109
2020-05-23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.109
2020-05-30	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-06-16	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.109
2020-06-26	nordi	sweet16	250000	25000000						3	0.109
2020-07-06	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-07-20	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-07-27	TJAOI	Manual testing	250000	25000000						31	1.130
2021-01-24	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.255
2021-03-03	Kublenz	Medion_E4272	250000	25000000						7	0.255
2021-04-25	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-06-11	Team_Inspector	SpudBoy4	250000	38500000						7	0.301
2021-07-28	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2021-08-31	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.301
2021-10-08	Dylan Delgado	colab	250000	38500000						7	0.301
2021-12-03	Luminescence	W-2295	250000	36500000						7	0.294
2022-02-22	WoodMan777	WoodMan777_4	250000	34250000						7	0.287
2022-04-23	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-05-28	debrouxl	o9020	250000	36750000						7	0.295
2022-06-24	debrouxl	dl380g9-1	250000	36307252						7	0.294
2022-07-18	debrouxl	athlon2	250000	36750000						7	0.295
2022-08-22	debrouxl	dl380g9-1	250000	36750000						7	0.295
2022-09-21	debrouxl	o9020	250000	36750000						7	0.295
2022-10-16	SyauqiMA	colab_4	250000	36750000						7	0.295
2022-11-13	debrouxl	o9020	250000	36750000						7	0.295
2022-12-21	wazuma	linux	250000	31250000						7	0.276
2023-02-04	debrouxl	o9020	250000	36718666						8	0.337

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