M280759 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	2⁶⁷	105.8342	71.6418%	5000000	5000000	0.0495	3.5941%	105.8838	72.6610%	1.0192%
PrimeNet	2⁴⁰	0.0000	52.5000%	3000	80000	0.0001	15.0175%	0.0001	59.6333%	7.1333%
GPU72	2⁴⁴	0.0000	56.8182%	5000	130000	0.0001	10.8435%	0.0001	61.5006%	4.6824%
Difference	+23	+105.8342	+14.8236%	+4995000	+4870000	+0.0494	-7.2494%	+105.8837	+11.1604%	-3.6632%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Prob over default TF

Actual

2⁶⁷

105.8342

71.6418%

5000000

0.0495

3.5941%

105.8838

72.6610%

1.0192%

PrimeNet

2⁴⁰

0.0000

52.5000%

3000

80000

0.0001

15.0175%

0.0001

59.6333%

7.1333%

GPU72

2⁴⁴

0.0000

56.8182%

5000

130000

0.0001

10.8435%

0.0001

61.5006%

4.6824%

Difference

+23

+105.8342

+14.8236%

+4995000

+4870000

+0.0494

-7.2494%

+105.8837

+11.1604%

-3.6632%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
280759	2807591	7	21.421	5 5	-	1	5	9.962e-13	1.207e-8	2.017e-8
280759	76100479384121	14	46.113	135526340 2² × 5 × 509 × 13313	2014-02-05	509	13313	5.695e-5	1.196e-5	1.343e-5
280759	2060289599185087631	19	60.838	3669142572785 5 × 101 × 419 × 17340403	2014-08-28	419	17340403	0.5832	0.0094	0.0175
280759	42732664764368911327206573615948554273	38	125.007	76102039051942967682614935969904 2⁴ × 7 × 19² × 79 × 1637 × 31277 × 325043 × 338461 × 4229809	2016-11-03	338461	4229809	4.891e+11	0.0055	0.0068

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

280759

2807591

21.421

5
5

9.962e-13

1.207e-8

2.017e-8

280759

76100479384121

46.113

135526340
2² × 5 × 509 × 13313

2014-02-05

509

13313

5.695e-5

1.196e-5

1.343e-5

280759

2060289599185087631

60.838

3669142572785
5 × 101 × 419 × 17340403

2014-08-28

419

17340403

0.5832

0.0094

0.0175

280759

42732664764368911327206573615948554273

125.007

76102039051942967682614935969904
2⁴ × 7 × 19² × 79 × 1637 × 31277 × 325043 × 338461 × 4229809

2016-11-03

338461

4229809

4.891e+11

0.0055

0.0068

exponent	prime factors	composite factor	digits	bits*
280759	2807591 76100479384121	213659021014543662511	21	67.534
280759	2807591 2060289599185087631	5784450536065659367006921	25	82.258
280759	76100479384121 2060289599185087631	156789026168103679504650294907351	33	106.951
280759	2807591 76100479384121 2060289599185087631	440199458768332377644140626129224501441	39	128.371
280759	2807591 42732664764368911327206573615948554273	119975844998459276122063231224974617439886343	45	146.428
280759	76100479384121 42732664764368911327206573615948554273	32519762739294102066630965720403632834645713828990 33	52	171.120
280759	2060289599185087631 42732664764368911327206573615948554273	88041664759492341493951204352968357445951928255264 497263	56	185.844
280759	2807591 76100479384121 42732664764368911327206573615948554273	91302193188977467315354499677913755913855794334848 78959503	58	192.541
280759	2807591 2060289599185087631 42732664764368911327206573615948554273	24718498560376786254734395578055478365003762020212 6305135123433	63	207.265
280759	76100479384121 2060289599185087631 42732664764368911327206573615948554273	67000128939734392936022199608858076407467167816957 63146748942930160823	70	231.957
280759	2807591 76100479384121 2060289599185087631 42732664764368911327206573615948554273	18810895901003782399763950342203345559891715315837 989348944011430233155207393	77	253.378

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-11-03T22:26:57	kkmrkkblmbrbk	Manual testing	5000000	5000000			42732664764368911327206573615948554273	38	125.007	0.050	0.004	0.099	3.594%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2016-11-03T22:26:57

kkmrkkblmbrbk

Manual testing

5000000

42732664764368911327206573615948554273

125.007

0.050

0.004

0.099

3.594%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2014-02-05T16:28:00	TJAOI	Manual testing	?	?	76100479384121	46.113	14	2.35605e-5	0.004	4.90135e-5

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2014-02-05T16:28:00

TJAOI

Manual testing

76100479384121

46.113

2.35605e-5

0.004

4.90135e-5

ECM factoring results:

Total ECM effort:	10.296 GHz-days
Estimated T-Level:	27.047

Digits	B1	Complete	FacMiss
20	11000	31.071	0.000%
25	50000	4.129	1.610%
30	250000	0.409	66.407%
35	1000000	0.032	96.819%
40	3000000	0.002	99.789%

ECM Summary

B1	B2	factor	curves	GHz-days
		2060289599185087631	1	0.00000e+0
50000	5000000		281	2.054
250000	25000000		169	6.177
250000	35250000		7	0.291
250000	35566001		14	0.584
250000	36750000		21	0.888
250000	38500000		7	0.302

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	0.366
2014-08-28T10:11:00	TJAOI	Manual testing			2060289599185087631	60.838		1		1	-
2015-01-09T16:39:00	TJAOI	Manual testing	50000	5000000						50	0.366
2015-10-16T10:39:52	TJAOI	Manual testing	50000	5000000						90	0.658
2016-03-18T10:45:52	TJAOI	Manual testing	50000	5000000						91	0.665
2018-11-09T13:43:45	TJAOI	Manual testing	250000	25000000						44	1.608
2020-03-08T17:42:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.110
2020-03-14T18:09:16	Will Hockensmith	bl460g8-1	250000	25000000						3	0.110
2020-04-08T11:57:40	Oliver Kruse	Melissa	250000	25000000						3	0.110
2020-04-19T06:31:51	Oliver Kruse	IOS-2	250000	25000000						3	0.110
2020-05-01T09:24:12	Greg	azure2	250000	25000000						3	0.110
2020-05-05T15:54:34	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.110
2020-05-06T04:58:22	Greg Hogan	azure3	250000	25000000						3	0.110
2020-05-20T22:42:13	Chang Chia-Tche	exbpc13	250000	25000000						3	0.110
2020-06-06T16:35:17	kracker	O0	250000	25000000						3	0.110
2020-06-21T03:34:51	nordi	sweet16	250000	25000000						3	0.110
2020-06-29T17:19:06	nordi	sweet16	250000	25000000						3	0.110
2020-07-14T17:13:07	argusdusty	Argus-PC	250000	25000000						3	0.110
2020-07-24T23:56:41	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.110
2020-08-11T13:29:44	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.110
2020-09-24T12:13:01	nordi	sweet16	250000	25000000						7	0.256
2020-10-27T11:45:29	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2020-11-13T01:47:23	nordi	sweet16	250000	25000000						7	0.256
2021-01-10T00:17:36	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.256
2021-02-03T06:01:20	seatsea	dt	250000	35566001						7	0.292
2021-02-26T17:48:09	TJAOI	Manual testing	250000	25000000						37	1.352
2021-07-14T09:04:44	seatsea	Manual testing	250000	35566001						7	0.292
2022-01-02T13:27:00	MarkS	desktop-i7	250000	25000000						11	0.402
2022-03-29T01:03:04	Dylan Delgado	colab	250000	38500000						7	0.302
2022-05-22T10:34:20	debrouxl	o9020	250000	36750000						7	0.296
2022-06-17T20:01:59	debrouxl	dl380g9-1	250000	36750000						7	0.296
2022-07-13T10:19:12	debrouxl	athlon2	250000	36750000						7	0.296
2022-08-22T02:06:43	prime23	web	250000	35250000						7	0.291
2022-09-16T17:57:01	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.256

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