M223207 Mersenne number exponent details

	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	10070832992220	4,464.4073	72.7441%	4,464.4073	72.7441%	72.7441%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	60000	0.0000	13.4564%	0.0000	61.0554%	6.0554%
GPU72	2⁴⁴	0.0000	59.0909%	4000	90000	0.0001	9.4110%	0.0001	62.9409%	3.8500%
Difference	-44	0.0000	-59.0909%	+29996000	+10070832902220	+4,464.4072	+63.3330%	+4,464.4072	+9.8032%	+9.8032%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
223207	2454412742497	13	41.159	5498064 2⁴ × 3³ × 11 × 13 × 89	-	27	89	1.387e-6	2.472e-7	4.471e-7
223207	48352293262529081392062799	26	85.322	108312672233686849857 3² × 2113 × 97561 × 58379587361	2020-05-22	97561	58379587361	67,908,125	25.879	48.334

exponent	prime factors	composite factor	digits	bits*
223207	2454412742497 48352293262529081392062799	118676484712503218265710984981640069103	39	126.480

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-06-07T09:15:49	Oliver Kruse	Ollaptop	30000000	3000000000		-	skipped known factor: 2454412742497	-	-	1.561	-	-	43.789%
2022-03-11T04:16:13	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 2454412742497 skipped known factor: 48352293262529081392062799	-	-	4,464	-	-	62.866%

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.936 GHz-days
Estimated T-Level:	27.664

Digits	B1	Curves	Complete	FacMiss
20	11000	622 / 100	6.220	0.193%
25	50000	622 / 280	2.221	10.802%
30	250000	341 / 640	0.533	58.671%

New Calculation Method

Total ECM effort:	11.936 GHz-days
Estimated T-Level:	27.664

Digits	B1	Complete	FacMiss
20	11000	37.481	0.000%
25	50000	4.946	0.711%
30	250000	0.496	60.891%
35	1000000	0.039	96.137%
40	3000000	0.003	99.743%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.674
250000	25000000		314	9.353
250000	25000000	48352293262529081392062799	6	0.179
250000	36000000		7	0.239
250000	38500000		14	0.492

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T14:47:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-01-02T14:31:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-08-21T09:46:00	TJAOI	Manual testing	50000	5000000						90	0.536
2016-07-01T10:26:47	TJAOI	Manual testing	50000	5000000						91	0.542
2017-08-11T11:11:56	TJAOI	Manual testing	250000	25000000						44	1.311
2019-11-27T19:17:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-28T13:23:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-29T14:04:50	wazuma	G751	250000	25000000						3	0.089
2019-11-30T06:14:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-01T05:08:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-02T05:37:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-03T07:41:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-04T10:23:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-05T12:26:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-06T15:39:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-07T18:05:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-08T23:07:12	Ducho_YYZ	oracleKO2	250000	25000000						3	0.089
2019-12-09T17:07:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-10T21:58:17	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-11T17:09:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12T17:59:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13T19:11:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-14T20:41:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-15T23:03:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17T06:59:21	Ducho_YYZ	oracleAU2	250000	25000000						3	0.089
2019-12-18T05:35:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-20T06:34:20	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2019-12-20T16:18:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-22T00:10:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23T08:55:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-26T15:31:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-28T14:02:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-30T11:48:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01T11:24:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-03T00:54:17	kracker	O0	250000	25000000						3	0.089
2020-01-03T14:22:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-05T16:41:45	kracker	O0	250000	25000000						3	0.089
2020-01-06T12:18:57	TJAOI	Manual testing	250000	25000000						61	1.817
2020-03-08T13:52:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-14T11:52:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-19T21:57:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-08T01:21:19	Oliver Kruse	Melissa	250000	25000000						3	0.089
2020-04-18T21:03:20	Oliver Kruse	Melissa	250000	25000000						3	0.089
2020-05-01T06:56:54	Greg	azure	250000	25000000						3	0.089
2020-05-06T01:20:02	Greg Hogan	azure3	250000	25000000						3	0.089
2020-05-22T01:18:07	nordi	sweet16	250000	25000000	48352293262529081392062799	85.322	6	2	3642751808054281	6	0.179
2020-06-21T14:05:14	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.089
2020-06-29T13:43:30	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-07-17T18:33:47	nordi	sweet16	250000	25000000						3	0.089
2020-07-24T18:21:24	Ahmed Azhad	c5.4xlarge.azf	250000	25000000						3	0.089
2020-08-11T02:42:47	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2020-09-24T03:10:26	nordi	sweet16	250000	25000000						7	0.209
2020-10-27T12:30:22	nordi	sweet16	250000	25000000						7	0.209
2020-11-10T16:25:07	RIHATEC		250000	25000000						7	0.209
2021-01-11T05:56:34	Lisander Viaene		250000	25000000						7	0.209
2021-01-11T22:43:23	Lisander Viaene	Manual testing	250000	25000000						7	0.209
2021-04-30T02:38:42	Poao	justg-ZA	250000	25000000						7	0.209
2021-06-19T16:06:02	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.209
2021-07-30T00:35:15	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.246
2021-09-09T06:29:10	Ahmed Azhad	c5.large.azf2	250000	38500000						7	0.246
2021-10-16T20:30:56	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2021-12-04T04:36:09	Luminescence	W-2295	250000	36000000						7	0.239
2022-02-25T08:59:05	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-04-18T08:42:19	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2022-05-26T23:23:53	_p95holder_	TFL17_PRPt12pE_k	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