M241177 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	72.9162%	4,486.3114	72.9162%	72.9162%
PrimeNet	2⁴⁰	0.0000	55.0000%	2600	65000	0.0000	13.9429%	0.0000	61.2743%	6.2743%
GPU72	2⁴⁴	0.0000	59.0909%	4500	110000	0.0001	10.1040%	0.0001	63.2244%	4.1335%
Difference	-44	0.0000	-59.0909%	+29995500	+10120246916890	+4,486.3113	+62.8121%	+4,486.3113	+9.6918%	+9.6918%

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

72.9162%

4,486.3114

72.9162%

PrimeNet

2⁴⁰

0.0000

55.0000%

2600

65000

0.0000

13.9429%

0.0000

61.2743%

6.2743%

GPU72

2⁴⁴

0.0000

59.0909%

4500

110000

0.0001

10.1040%

0.0001

63.2244%

4.1335%

Difference

-44

0.0000

-59.0909%

+29995500

+10120246916890

+4,486.3113

+62.8121%

+4,486.3113

+9.6918%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
241177	53028285438593	14	45.592	109936448 2⁶ × 29 × 59233	-	64	59233	3.436e-5	2.675e-5	4.904e-5
241177	490652181382400204818403639	27	88.665	1017203509004590414547 17 × 1483 × 40347606560810377	2020-01-24	1483	40347606560810377	309,818,232	17,885,197	33,404,568

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

241177

53028285438593

45.592

109936448
2⁶ × 29 × 59233

59233

3.436e-5

2.675e-5

4.904e-5

241177

490652181382400204818403639

88.665

1017203509004590414547
17 × 1483 × 40347606560810377

2020-01-24

1483

40347606560810377

309,818,232

17,885,197

33,404,568

exponent	prime factors	composite factor	digits	bits*
241177	53028285438593 490652181382400204818403639	26018443925414224234219734445847222239927	41	134.257

exponent

prime factors

composite factor

digits

bits*

241177

53028285438593
490652181382400204818403639

26018443925414224234219734445847222239927

134.257

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-07-31T18:11:40	Oliver Kruse	Ollaptop	30000000	3000000000	24	-	skipped known factor: 53028285438593	-	-	1.561	-	-	43.946%
2022-04-07T15:06:12	Oliver Kruse	Threadripper-PC	30000000	10120247026890		-	skipped known factor: 53028285438593	-	-	4,486	-	-	63.050%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-07-31T18:11:40

Oliver Kruse

Ollaptop

30000000

3000000000

skipped known factor: 53028285438593

1.561

-

-

43.946%

2022-04-07T15:06:12

Oliver Kruse

Threadripper-PC

30000000

10120247026890

skipped known factor: 53028285438593

4,486

-

-

63.050%

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.595 GHz-days
Estimated T-Level:	27.281

Digits	B1	Curves	Complete	FacMiss
20	11000	573 / 100	5.730	0.315%
25	50000	573 / 280	2.046	12.872%
30	250000	292 / 640	0.456	63.343%

New Calculation Method

Total ECM effort:	10.595 GHz-days
Estimated T-Level:	27.281

Digits	B1	Complete	FacMiss
20	11000	33.398	0.000%
25	50000	4.375	1.259%
30	250000	0.435	64.754%
35	1000000	0.034	96.630%
40	3000000	0.002	99.777%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.678
250000	25000000		173	5.165
250000	25000000	490652181382400204818403639	77	2.299
250000	33000000		7	0.231
250000	34750000		7	0.236
250000	38500000		28	0.986

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-15T10:40:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-01-02T14:31:00	TJAOI	Manual testing	50000	5000000						50	0.299
2015-08-28T08:19:00	TJAOI	Manual testing	50000	5000000						90	0.537
2016-04-22T16:20:51	TJAOI	Manual testing	50000	5000000						91	0.543
2017-05-19T20:17:35	TJAOI	Manual testing	250000	25000000						44	1.314
2019-12-15T14:19:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-16T16:26:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-18T01:16:08	Ducho_YYZ	oracleSW	250000	25000000						3	0.090
2019-12-19T01:01:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-20T07:47:56	kracker	O0	250000	25000000						3	0.090
2019-12-21T13:22:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-22T22:04:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-24T11:51:56	Ducho_YYZ	oracleDE	250000	25000000						3	0.090
2019-12-26T00:21:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-27T23:33:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-29T21:21:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2019-12-31T20:03:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-02T20:35:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-04T23:48:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-07T03:15:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-09T09:53:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-11T12:39:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-13T18:11:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.090
2020-01-24T19:02:04	nordi	nordiputer	250000	25000000	490652181382400204818403639	88.665	77	2	3234265436826261	77	2.299
2020-06-20T20:31:31	kracker	O0	250000	25000000						3	0.090
2020-06-29T12:00:23	nordi	sweet16	250000	25000000						3	0.090
2020-07-14T11:04:57	argusdusty	Argus-PC	250000	25000000						3	0.090
2020-07-24T18:51:49	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.090
2020-08-10T20:37:50	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.090
2020-09-24T05:02:46	Chang Chia-Tche	exbpc13	250000	25000000						7	0.209
2020-10-27T03:45:29	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2020-11-10T17:15:06	Tsurumaki Kokoro	Baidu_HK_1	250000	25000000						7	0.209
2021-01-09T12:02:26	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.209
2021-02-01T18:31:16	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-03-14T01:03:15	MarkS	desktop-i7	250000	25000000						11	0.328
2021-05-23T22:12:57	Dylan Delgado	laptop-ryzen73700	250000	38500000						7	0.246
2021-07-21T15:21:16	Eric	miniPCWindows	250000	38500000						7	0.246
2021-08-27T13:51:47	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.246
2021-10-04T18:37:20	happy5214	Focus	250000	38500000						7	0.246
2021-11-29T20:10:56	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-02-07T03:52:47	Barney_Jr	CANinetHEWIE8G2	250000	25000000						7	0.209
2022-03-29T23:37:10	Alex Kruppa	lily	250000	34750000						7	0.236
2022-05-21T13:32:44	MarkS	desktop-i7	250000	33000000						7	0.231

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