M266 381 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	111.5467	71.6418%	20000000	1820000000	1.1699	11.6701%	112.7166	74.9512%
Target	2⁴⁴	0.0000	56.8182%	5000	600000	0.0004	10.5905%	0.0004	61.3914%
Difference	+23	+111.5467	+14.8236%	+19995000	+1819400000	+1.1695	+1.0796%	+112.7162	+13.5599%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁶⁷

111.5467

71.6418%

20000000

1820000000

1.1699

11.6701%

112.7166

74.9512%

Target

2⁴⁴

0.0000

56.8182%

5000

600000

0.0004

10.5905%

0.0004

61.3914%

Difference

+23

+111.5467

+14.8236%

+19995000

+1819400000

+1.1695

+1.0796%

+112.7162

+13.5599%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
266381	903564353	9	29.751	1696 2⁵ × 53	-	32	53	3.671e-10	3.284e-7	6.453e-7
266381	1303259119807751	16	50.211	2446231375 5³ × 7 × 2795693	2014-05-22	125	2795693	0.0007	0.0015	0.0028
266381	138309590080662461592113	24	76.872	259608587100173176 2³ × 359 × 1013 × 89232933941	2015-02-27	1013	89232933941	77,796	48.171	89.970
266381	211904504721734610288510328313	30	97.419	397747032862206032503276 2² × 19 × 29 × 72341 × 2494657053014809	2021-06-30	72341	2494657053014809	1.428e+11	1,346,699	2,515,259

P-1

GHz-days

exponent

factor

digits

bits*

date found

min B1

min B2

min. TF

min. P-1

normal P-1

266381

903564353

29.751

1696
2⁵ × 53

3.671e-10

3.284e-7

6.453e-7

266381

1303259119807751

50.211

2446231375
5³ × 7 × 2795693

2014-05-22

125

2795693

0.0007

0.0015

0.0028

266381

138309590080662461592113

76.872

259608587100173176
2³ × 359 × 1013 × 89232933941

2015-02-27

1013

89232933941

77,796

48.171

89.970

266381

211904504721734610288510328313

97.419

397747032862206032503276
2² × 19 × 29 × 72341 × 2494657053014809

2021-06-30

72341

2494657053014809

1.428e+11

1,346,699

2,515,259

exponent	prime factors	composite factor	digits	bits*
266381	903564353 1303259119807751	1177578483380440016700103	25	79.962
266381	903564353 138309590080662461592113	124971615274928994919864932747889	33	106.623
266381	1303259119807751 138309590080662461592113	180253234629495008328153709741937867863	39	127.083
266381	903564353 211904504721734610288510328313	191469356706679578183044978135953426489	39	127.170
266381	1303259119807751 211904504721734610288510328313	276166478306945263949898159494755642452154063	45	147.630
266381	903564353 1303259119807751 138309590080662461592113	162870397324156851916757818427523886541831087639	48	156.834
266381	138309590080662461592113 211904504721734610288510328313	29308425184308917011126291078784030077405274321395 369	53	174.292
266381	903564353 1303259119807751 211904504721734610288510328313	24953418529170353282730395489976968896537991939091 6239	54	177.381
266381	903564353 138309590080662461592113 211904504721734610288510328313	26482048239108992351289020999891164163623236610999 120647681257	62	204.043
266381	1303259119807751 138309590080662461592113 211904504721734610288510328313	38196472408653761558815275333727907375127578697109 239192001341705119	68	224.503
266381	903564353 1303259119807751 138309590080662461592113 211904504721734610288510328313	34512970878807587663907195703436715705451078937910 092680842935092917766023007	77	254.254

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-06-30	George Woltman	Manual testing	20000000	1820000000		-	skipped known factor: 903564353 skipped known factor: 1303259119807751	-	-	1.170	-	-	11.670%

GHz-Days

worth

Factor
probability

date

userid

compid

stage

factor

digits

bits*

spent

saved

2021-06-30

George Woltman

Manual testing

20000000

1820000000

skipped known factor: 903564353
skipped known factor: 1303259119807751

1.170

-

-

11.670%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-06-30	George Woltman	Manual testing	10000000	830000000	2	7	211904504721734610288510328313	P+1	30	97.419	0.506

date

userid

compid

start

factor

Smooth

digits

bits*

ghz-days

2021-06-30

George Woltman

Manual testing

10000000

830000000

211904504721734610288510328313

P+1

97.419

0.506

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2014-05-22	TJAOI	Manual testing	?	?	1303259119807751	50.211	16	0.000	0.004	0.000

Bits

Factor

GHz-Days

worth

date

userid

compid

from

factor

bits*

digits

spent

saved

2014-05-22

TJAOI

Manual testing

1303259119807751

50.211

0.000

0.004

0.000

ECM factoring results:

Total ECM effort:	11.703 GHz-days
Estimated T-Level:	27.349

Digits	B1	Complete	FacMiss
20	11000	34.590	0.000%
25	50000	4.675	0.932%
30	250000	0.470	62.519%
35	1000000	0.037	96.328%
40	3000000	0.002	99.755%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		262	1.912
50000	5000000	138309590080662461592113	19	0.139
250000	25000000		200	7.296
250000	34250000		7	0.287
250000	36392668		7	0.294
250000	36463972		7	0.294
250000	36499779		7	0.294
250000	36500000		7	0.294
250000	36750000		14	0.591
250000	38500000		7	0.301

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-08-28	TJAOI	Manual testing	50000	5000000						50	0.365
2015-02-27	TJAOI	Manual testing	50000	5000000						31	0.226
2015-02-27	TJAOI	Manual testing	50000	5000000	138309590080662461592113	76.872	19	2		19	0.139
2015-09-18	TJAOI	Manual testing	50000	5000000						90	0.657
2016-06-17	TJAOI	Manual testing	50000	5000000						91	0.664
2017-11-03	TJAOI	Manual testing	250000	25000000						44	1.605
2020-01-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-01-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-02-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.109
2020-04-21	kracker	O0	250000	25000000						3	0.109
2020-04-22	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-04-23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.109
2020-04-24	kracker	O0	250000	25000000						3	0.109
2020-04-24	Oliver Kruse	IOS-2	250000	25000000						3	0.109
2020-04-25	Oliver Kruse	IOS-2	250000	25000000						3	0.109
2020-04-25	Oliver Kruse	IOS-2	250000	25000000						3	0.109
2020-04-26	Oliver Kruse	IOS-2	250000	25000000						3	0.109
2020-04-26	Greg	azure	250000	25000000						3	0.109
2020-04-27	Greg	azure	250000	25000000						3	0.109
2020-05-01	Greg	azure4	250000	25000000						3	0.109
2020-05-07	Oliver Kruse	IOS-2	250000	25000000						3	0.109
2020-05-20	kracker	O0	250000	25000000						3	0.109
2020-06-06	-Anonymous-	aws-nano	250000	25000000						3	0.109
2020-06-21	nordi	sweet16	250000	25000000						3	0.109
2020-06-29	nordi	sweet16	250000	25000000						3	0.109
2020-07-14	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.109
2020-07-25	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.109
2020-08-11	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.109
2020-09-18	TJAOI	Manual testing	250000	25000000						43	1.569
2021-05-10	MarkS	laptop64	250000	25000000						7	0.255
2021-06-30	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-05-05	Dylan Delgado	colab	250000	38500000						7	0.301
2022-06-02	MarkS	desktop-i7	250000	34250000						7	0.287
2022-07-02	debrouxl	z400	250000	36392668						7	0.294
2022-07-27	debrouxl	o9020	250000	36750000						7	0.295
2022-09-01	debrouxl	z400	250000	36500000						7	0.294
2022-09-29	debrouxl	z400	250000	36463972						7	0.294
2022-10-22	debrouxl	dl380g9-1	250000	36750000						7	0.295
2022-11-23	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.255
2022-12-26	debrouxl	z400	250000	36499779						7	0.294
2023-03-08	JackBlock	school2b	250000	25000000						14	0.511

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