M257837 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	115.2430	73.1343%	30000000	10035812696910	5,417.9473	23.4464%	5,533.1903	79.4333%
Target	2⁴⁴	0.0000	59.0909%	4500	120000	0.0001	10.3882%	0.0001	63.3406%
Difference	+23	+115.2430	+14.0434%	+29995500	+10035812576910	+5,417.9472	+13.0581%	+5,533.1902	+16.0927%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

115.2430

73.1343%

30000000

10035812696910

5,417.9473

23.4464%

5,533.1903

79.4333%

Target

2⁴⁴

0.0000

59.0909%

4500

120000

0.0001

10.3882%

0.0001

63.3406%

Difference

+23

+115.2430

+14.0434%

+29995500

+10035812576910

+5,417.9472

+13.0581%

+5,533.1902

+16.0927%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
257837	1547023	7	20.561	3 3	-	1	3	5.421e-13	1.099e-8	2.017e-8
257837	94884017	8	26.500	184 2³ × 23	2008-07-21	8	23	3.605e-11	8.736e-8	1.613e-7
257837	31808319343	11	34.889	61683 3 × 29 × 709	2008-07-21	29	709	1.199e-8	6.544e-7	7.106e-7
257837	311082279547134296746484843405075627743	39	127.871	603253760218925710325680261958283 3² × 13 × 23 × 127 × 30949 × 79769 × 1461329 × 489275925731	2022-04-29	1461329	489275925731	5.369e+11	264.14	493.32

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

257837

1547023

20.561

3
3

5.421e-13

1.099e-8

2.017e-8

257837

94884017

26.500

184
2³ × 23

2008-07-21

3.605e-11

8.736e-8

1.613e-7

257837

31808319343

34.889

61683
3 × 29 × 709

2008-07-21

709

1.199e-8

6.544e-7

7.106e-7

257837

311082279547134296746484843405075627743

127.871

603253760218925710325680261958283
3² × 13 × 23 × 127 × 30949 × 79769 × 1461329 × 489275925731

2022-04-29

1461329

489275925731

5.369e+11

264.14

493.32

exponent	prime factors	composite factor	digits	bits*
257837	1547023 94884017	146787756631391	15	47.061
257837	1547023 31808319343	49208201614965889	17	55.450
257837	94884017 31808319343	3018101113282640831	19	61.388
257837	1547023 94884017 31808319343	4669071838573850866296113	25	81.949
257837	1547023 311082279547134296746484843405075627743	481251441351846341155637221899050312857859089	45	148.432
257837	94884017 311082279547134296746484843405075627743	29516736300949042913776512571889533749052483631	47	154.370
257837	31808319343 311082279547134296746484843405075627743	9895004489783645131419915811737993074315534332849	49	162.759
257837	1547023 94884017 311082279547134296746484843405075627743	45663069942503091215599281808502262169060420384280 513	53	174.931
257837	1547023 31808319343 311082279547134296746484843405075627743	15307799530798564042144632418822345259806840870207 058527	56	183.320
257837	94884017 31808319343 311082279547134296746484843405075627743	93887777422370771097161452601951653440923742300212 8174433	57	189.259
257837	1547023 94884017 31808319343 311082279547134296746484843405075627743	14524655109128829741504400188862905276113817058450 21334795862959	64	209.820

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-18	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 1547023 skipped known factor: 94884017 skipped known factor: 31808319343	-	-	1.901	-	-	12.597%
2022-04-29	Oliver Kruse	Threadripper-PC	30000000	10035812696910			311082279547134296746484843405075627743	39	127.871	5,418	0.004	10,836	23.446%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-08-18

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 1547023
skipped known factor: 94884017
skipped known factor: 31808319343

1.901

-

-

12.597%

2022-04-29

Oliver Kruse

Threadripper-PC

30000000

10035812696910

311082279547134296746484843405075627743

127.871

5,418

0.004

10,836

23.446%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21	J Feitsma	Manual testing	?	?	31808319343	34.889	11	3.11828e-9	0.004	6.48286e-9
2008-07-21	J Feitsma	Manual testing	?	?	94884017	26.500	8	1.38094e-12	0.004	2.87096e-12

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2008-07-21

J Feitsma

Manual testing

31808319343

34.889

3.11828e-9

0.004

6.48286e-9

2008-07-21

J Feitsma

Manual testing

94884017

26.500

1.38094e-12

0.004

2.87096e-12

ECM factoring results:

Total ECM effort:	15.448 GHz-days
Estimated T-Level:	27.682

Digits	B1	Complete	FacMiss
20	11000	38.158	0.000%
25	50000	5.261	0.519%
30	250000	0.536	58.482%
35	1000000	0.043	95.771%
40	3000000	0.003	99.715%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	2.048
250000	25000000	220	8.017
250000	34250000	7	0.286
250000	36464191	7	0.294
250000	36500000	14	0.588
250000	38500000	28	1.204
250000	235419030	7	0.969
250000	551335785	7	2.041

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-09-15	TJAOI	Manual testing	50000	5000000						50	0.364
2015-01-16	TJAOI	Manual testing	50000	5000000						50	0.364
2015-10-02	TJAOI	Manual testing	50000	5000000						90	0.656
2016-02-12	TJAOI	Manual testing	50000	5000000						91	0.663
2017-05-12	TJAOI	Manual testing	250000	25000000						44	1.603
2020-01-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-16	Niels_Mache_Nextcloud	SuperDry-Y	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
2020-01-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-06	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-02-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-12	Niels_Mache_Nextcloud	SuperDry-Y	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	Niels_Mache_Nextcloud	SuperDry-Y	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	kracker	O0	250000	25000000						3	0.109
2020-04-29	Greg	azure4	250000	25000000						3	0.109
2020-05-03	kracker	O0	250000	25000000						3	0.109
2020-05-09	Greg Hogan	azure5	250000	25000000						3	0.109
2020-05-23	nordi	sweet16	250000	25000000						3	0.109
2020-05-31	nordi	sweet16	250000	25000000						3	0.109
2020-06-15	TJAOI	Manual testing	250000	25000000						22	0.802
2020-10-21	nordi	sweet16	250000	25000000						7	0.255
2020-11-05	nordi	sweet16	250000	25000000						7	0.255
2020-12-23	Chang Chia-Tche	exbpc13	250000	25000000						7	0.255
2021-01-25	seatsea	dt	250000	38500000						7	0.301
2021-03-10	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2021-04-27	nordi	sweet16	250000	38500000						7	0.301
2021-06-25	Jonathan Webb	Desktop2021	250000	25000000						7	0.255
2021-07-14	seatsea	Manual testing	250000	38500000						7	0.301
2021-09-12	MarkS	laptop64	250000	25000000						7	0.255
2021-10-15	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2021-12-03	Luminescence	W-2295	250000	36500000						7	0.294
2022-02-23	Team_Inspector	SpudBoy4	250000	34250000						7	0.286
2022-04-23	Dylan Delgado	colab	250000	38500000						7	0.301
2022-05-31	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.255
2022-06-24	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.255
2022-07-17	debrouxl	z400	250000	36500000						7	0.294
2022-08-20	Corey	tab	250000	25000000						7	0.255
2022-09-17	debrouxl	z400	250000	36464191						7	0.294
2022-10-11	Stef42	AMD-DESKTOP	250000	551335785						7	2.041
2022-12-07	Nesowa	309b3ECMtrial	250000	235419030						7	0.969

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