M211 231 Mersenne number exponent details

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown	30000000	10070832992220	3,668.7703	62.7423%	3,668.7703	62.7423%
Target	2⁴⁴	0.0000	59.0909%	4000	450000	0.0002	9.3278%	0.0002	62.9068%
Difference	-44	0.0000	-59.0909%	+29996000	+10070832542220	+3,668.7701	+53.4145%	+3,668.7701	-0.1645%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
211231	1605355601	10	30.580	3800 2³ × 5² × 19	-	25	25	1.234e-9	1.672e-7	3.402e-7
211231	9175398112565839831	19	62.992	21718872022965 3 × 5 × 13 × 111378830887	2014-12-19	13	111378830887	4.8851	40.573	75.779
211231	44020293565604983870643000656007	32	105.118	104199415724029578685522013 7 × 1069 × 4931 × 2823933958926641581	2021-11-30	4931	2823933958926641581	9.112e+11	1.029e+9	1.921e+9

exponent	prime factors	composite factor	digits	bits*
211231	1605355601 9175398112565839831	14729776751412399453964743431	29	93.573
211231	1605355601 44020293565604983870643000656007	70668224833208221810251400574567511745207	41	135.698
211231	9175398112565839831 44020293565604983870643000656007	40390371849644615261622055193126375061131189001481 7	51	168.110
211231	1605355601 9175398112565839831 44020293565604983870643000656007	64840909675299712969735046649416562905213671659318 2443940017	60	198.691

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-05-18	Oliver Kruse	Ollaptop	30000000	3000000000		-	skipped known factor: 1605355601	-	-	1.282	-	-	43.678%
2022-02-19	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 1605355601 skipped known factor: 9175398112565839831	-	-	3,669	-	-	62.742%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-11-30	fbaur	ubuntu	150000000	150000000	2	7	44020293565604983870643000656007	P+1	32	105.118	1.524

ECM factoring results:

Total ECM effort:	12.143 GHz-days
Estimated T-Level:	28.710

Digits	B1	Complete	FacMiss
20	11000	50.744	0.000%
25	50000	7.148	0.079%
30	250000	0.742	47.612%
35	1000000	0.061	94.126%
40	3000000	0.004	99.598%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		246	1.202
50000	5000000	9175398112565839831	35	0.171
250000	25000000		337	8.236
250000	31250000		57	1.508
250000	36000000		15	0.420
250000	38500000		21	0.605

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28	TJAOI	Manual testing	50000	5000000						50	0.244
2014-12-19	TJAOI	Manual testing	50000	5000000						15	0.073
2014-12-19	TJAOI	Manual testing	50000	5000000	9175398112565839831	62.992	35	2		35	0.171
2015-06-05	TJAOI	Manual testing	50000	5000000						90	0.440
2016-02-12	TJAOI	Manual testing	50000	5000000						91	0.445
2017-10-06	Oliver Kruse	ECM-HTC	250000	25000000						3	0.073
2017-10-08	Oliver Kruse	ECM-HTC	250000	25000000						3	0.073
2017-10-09	Oliver Kruse	ECM-HTC	250000	25000000						3	0.073
2017-10-11	Oliver Kruse	ECM-HTC	250000	25000000						3	0.073
2017-12-01	TJAOI	Manual testing	250000	25000000						44	1.075
2019-11-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-23	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-11-30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-01	kracker	O0	250000	25000000						3	0.073
2019-12-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-12	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-12-12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2019-12-16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18	Ducho_YYZ	oracleKO2	250000	25000000						3	0.073
2019-12-20	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08	kracker	O0	250000	25000000						3	0.073
2020-01-10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-27	kracker	O0	250000	25000000						3	0.073
2020-01-29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-14	kracker	O0	250000	25000000						3	0.073
2020-04-21	kracker	O0	250000	25000000						3	0.073
2020-04-23	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-04-24	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-25	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-04-26	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-26	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-27	Oliver Kruse	IOS-2	250000	25000000						3	0.073
2020-04-28	FreeTibet	alfa	250000	25000000						3	0.073
2020-05-01	Greg	azure	250000	25000000						3	0.073
2020-05-06	Greg Hogan	azure2	250000	25000000						3	0.073
2020-05-22	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-06-07	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-06-22	debrouxl	p4	250000	25000000						3	0.073
2020-06-30	kracker	O0	250000	25000000						3	0.073
2020-07-15	kracker	O0	250000	25000000						3	0.073
2020-07-25	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.073
2020-08-12	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-09-25	nordi	sweet16	250000	25000000						7	0.171
2020-10-28	nordi	sweet16	250000	25000000						7	0.171
2020-11-13	RIHATEC		250000	25000000						7	0.171
2021-02-03	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-03-12	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-04-23	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.171
2021-05-01	nordi	sweet16	250000	38500000						7	0.202
2021-07-01	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-08-06	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.202
2021-09-15	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.171
2021-10-18	Dylan Delgado	colab	250000	38500000						7	0.202
2022-11-06	MarkS	desktop-i7	250000	31250000						7	0.185
2022-12-12	debrouxl	dl380g9-1	250000	36000000						7	0.196
2023-01-24	debrouxl	dl380g9-1	250000	36000000						8	0.224
2023-06-30	debrouxl	x8dtt-h-f	250000	31250000						50	1.323

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