M253769 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	unknown	30000000	10120247026890	4,486.3114	73.0227%	4,486.3114	73.0227%	73.0227%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	70000	0.0001	14.2359%	0.0001	61.4062%	6.4062%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1837%	0.0001	63.2570%	4.1661%
Difference	-44	0.0000	-59.0909%	+29995500	+10120246916890	+4,486.3113	+62.8390%	+4,486.3113	+9.7658%	+68.8567%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

unknown

30000000

10120247026890

4,486.3114

73.0227%

4,486.3114

73.0227%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

70000

0.0001

14.2359%

0.0001

61.4062%

6.4062%

GPU72

2⁴⁴

0.0000

59.0909%

4500

110000

0.0001

10.1837%

0.0001

63.2570%

4.1661%

Difference

-44

0.0000

-59.0909%

+29995500

+10120246916890

+4,486.3113

+62.8390%

+4,486.3113

+9.7658%

+68.8567%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
253769	770596011229801	15	49.453	1518302100 2² × 3 × 5² × 7 × 47 × 15383	-	47	15383	0.0005	7.181e-6	1.273e-5
253769	374864571200694534175966765946236250137	39	128.140	738594097783209403386478974867372 2² × 3 × 223 × 919 × 3607 × 21739 × 19258439 × 198882891379	2022-04-23	19258439	198882891379	7.102e+11	88.309	164.66

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

253769

770596011229801

49.453

1518302100
2² × 3 × 5² × 7 × 47 × 15383

15383

0.0005

7.181e-6

1.273e-5

253769

374864571200694534175966765946236250137

128.140

738594097783209403386478974867372
2² × 3 × 223 × 919 × 3607 × 21739 × 19258439 × 198882891379

2022-04-23

19258439

198882891379

7.102e+11

88.309

164.66

exponent	prime factors	composite factor	digits	bits*
253769	770596011229801 374864571200694534175966765946236250137	28886914331862494179199396655491163360038144002473 2737	54	177.593

exponent

prime factors

composite factor

digits

bits*

253769

770596011229801
374864571200694534175966765946236250137

28886914331862494179199396655491163360038144002473
2737

177.593

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-08-28T08:23:07	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 770596011229801	-	-	1.561	-	-	44.049%
2022-04-23T20:24:20	Oliver Kruse	Threadripper-PC	30000000	10120247026890			374864571200694534175966765946236250137	39	128.140	4,486	0.003	8,973	63.165%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-08-28T08:23:07

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 770596011229801

1.561

-

-

44.049%

2022-04-23T20:24:20

Oliver Kruse

Threadripper-PC

30000000

10120247026890

374864571200694534175966765946236250137

128.140

4,486

0.003

8,973

63.165%

ECM factoring results:

Total ECM effort:	10.473 GHz-days
Estimated T-Level:	27.588

Digits	B1	Complete	FacMiss
20	11000	37.399	0.000%
25	50000	5.111	0.603%
30	250000	0.518	59.592%
35	1000000	0.041	95.940%
40	3000000	0.003	99.727%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	1.681
250000	25000000	254	7.596
250000	33000000	7	0.232
250000	34750000	7	0.236
250000	36250000	14	0.481
250000	38500000	7	0.247

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-28T10:09:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-01-23T13:28:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-10-02T10:43:37	TJAOI	Manual testing	50000	5000000						90	0.538
2016-02-26T13:29:02	TJAOI	Manual testing	50000	5000000						91	0.544
2017-07-21T13:29:52	TJAOI	Manual testing	250000	25000000						44	1.316
2020-01-02T23:45:07	astraeus	x7	250000	25000000						3	0.090
2020-01-04T04:42:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-06T06:53:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-08T12:09:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-10T15:20:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-12T21:16:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-15T02:09:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-17T06:46:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-19T14:30:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-21T23:46:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24T06:53:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-26T19:49:43	kracker	O0	250000	25000000						3	0.090
2020-01-29T07:46:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-01T01:52:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-04T02:29:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-07T06:33:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-10T15:36:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-14T08:01:55	kracker	O0	250000	25000000						3	0.090
2020-02-18T02:07:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-21T05:59:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-25T03:06:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-02-28T04:51:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-04T06:04:06	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.090
2020-03-08T21:44:45	Naegi Makoto	1700	250000	25000000						3	0.090
2020-03-14T04:11:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-03-19T21:04:22	Hans Loeblich	tomservo	250000	25000000						3	0.090
2020-03-23T10:24:18	TJAOI	Manual testing	250000	25000000						76	2.273
2021-05-05T17:40:12	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2021-06-28T19:15:53	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-08-05T05:38:16	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-10-05T19:42:16	RadosHordosCZ	i5-6600K	250000	25000000						7	0.209
2021-10-10T12:05:15	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.247
2021-12-04T04:20:27	Luminescence	W-2295	250000	36250000						7	0.241
2022-02-25T06:39:05	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2022-04-19T09:37:35	Alex Kruppa	lily	250000	34750000						7	0.236
2022-05-29T14:26:45	Corey	tab	250000	25000000						7	0.209
2022-06-21T22:29:33	Corey	tab	250000	25000000						7	0.209
2022-07-14T01:43:35	MarkS	desktop-i7	250000	33000000						7	0.232
2022-08-15T19:25:07	Naegi Makoto	4210	250000	36250000						7	0.241
2022-09-19T08:19:15	JackBlock	school1	250000	25000000						7	0.209

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