M217271 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	72.6872%	4,464.4073	72.6872%	72.6872%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	55000	0.0000	13.0427%	0.0000	60.8692%	5.8692%
GPU72	2⁴⁴	0.0000	59.0909%	4000	90000	0.0001	9.3703%	0.0001	62.9242%	3.8333%
Difference	-44	0.0000	-59.0909%	+29996000	+10070832902220	+4,464.4072	+63.3169%	+4,464.4072	+9.7629%	+9.7629%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
217271	1098482198137	13	39.999	2527908 2² × 3 × 210659	-	4	210659	3.931e-7	9.341e-5	0.0002
217271	32705856430808400205594967	26	84.758	75265121509102457773 7247 × 10385693598606659	2020-09-06	7247	10385693598606659	32,133,952	4,603,747	8,598,518

exponent	prime factors	composite factor	digits	bits*
217271	1098482198137 32705856430808400205594967	35926801064067548705726362076063976479	38	124.756

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-05-01T21:06:17	Dylan Delgado	laptop-ryzen73700	6500000	604500000		-	skipped known factor: 1098482198137	-	-	0.318	-	-	38.835%
2021-05-28T07:46:31	Oliver Kruse	Ollaptop	30000000	3000000000		-	skipped known factor: 1098482198137	-	-	1.561	-	-	43.735%
2022-03-01T06:24:01	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 1098482198137	-	-	4,464	-	-	62.806%

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.747 GHz-days
Estimated T-Level:	27.852

Digits	B1	Curves	Complete	FacMiss
20	11000	646 / 100	6.460	0.151%
25	50000	646 / 280	2.307	9.914%
30	250000	365 / 640	0.570	56.510%

New Calculation Method

Total ECM effort:	12.747 GHz-days
Estimated T-Level:	27.852

Digits	B1	Complete	FacMiss
20	11000	39.481	0.000%
25	50000	5.254	0.523%
30	250000	0.529	58.890%
35	1000000	0.042	95.870%
40	3000000	0.003	99.725%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.673
250000	25000000		316	9.405
250000	25000000	32705856430808400205594967	7	0.208
250000	36250000		14	0.479
250000	38392042		7	0.245
250000	38500000		21	0.737

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T13:56:00	TJAOI	Manual testing	50000	5000000						50	0.298
2014-12-19T13:18:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-06-12T09:27:00	TJAOI	Manual testing	50000	5000000						90	0.536
2016-03-04T13:11:21	TJAOI	Manual testing	50000	5000000						91	0.542
2018-10-19T07:08:49	TJAOI	Manual testing	250000	25000000						44	1.310
2019-11-24T01:37:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-24T14:27:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-25T03:51:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-25T17:16:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-26T08:11:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-26T23:33:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-28T10:18:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-28T13:29:07	Ducho_YYZ	Dutch	250000	25000000						3	0.089
2019-11-29T04:34:05	ATH	ec2-ECMCF	250000	25000000						3	0.089
2019-11-30T02:30:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-01T01:19:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-02T01:36:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-03T02:57:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-04T06:03:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-05T08:21:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-06T11:22:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-07T13:48:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-08T13:49:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-09T18:44:41	Ducho_YYZ	oracle	250000	25000000						3	0.089
2019-12-10T13:17:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-11T19:02:48	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-12T19:28:28	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-13T14:34:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-14T22:17:36	Ducho_YYZ	oracleSW	250000	25000000						3	0.089
2019-12-15T18:45:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17T02:46:07	Ducho_YYZ	oracleAU2	250000	25000000						3	0.089
2019-12-18T02:31:36	kracker	O0	250000	25000000						3	0.089
2019-12-19T12:59:31	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-20T11:35:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-21T19:05:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23T10:45:20	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-25T07:31:07	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2019-12-26T08:53:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-28T07:21:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-30T05:26:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01T04:34:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-03T13:22:34	MarkS	desktop-i7	250000	25000000						3	0.089
2020-01-05T12:44:49	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2020-01-07T11:59:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-09T17:11:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-11T21:48:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-14T03:26:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-16T07:45:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-18T14:03:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-20T23:12:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-23T06:59:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-25T15:25:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-28T04:01:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-30T19:20:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-02T18:19:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-05T23:08:07	kracker	O0	250000	25000000						3	0.089
2020-02-09T03:55:39	Jay G.	Optiplex	250000	25000000						3	0.089
2020-02-12T15:05:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-16T10:27:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-19T12:57:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-23T04:04:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-26T16:48:44	kracker	O0	250000	25000000						3	0.089
2020-03-01T02:15:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-06T00:14:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-11T15:04:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-17T10:51:51	Hans Loeblich	crow	250000	25000000						3	0.089
2020-03-22T23:12:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-12T15:36:01	Oliver Kruse	Melissa	250000	25000000						3	0.089
2020-04-29T07:27:33	Greg	azure3	250000	25000000						3	0.089
2020-05-03T09:57:49	Greg Hogan	azure4	250000	25000000						3	0.089
2020-05-09T13:17:41	Greg Hogan	azure3	250000	25000000						3	0.089
2020-05-28T16:01:51	kracker	O0	250000	25000000						3	0.089
2020-06-15T04:42:24	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-06-25T18:42:39	nordi	sweet16	250000	25000000						3	0.089
2020-07-04T18:13:17	argusdusty	Argus-PC	250000	25000000						3	0.089
2020-07-13T17:35:43	argusdusty	Manual testing	250000	25000000						3	0.089
2020-07-30T02:28:37	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.089
2020-09-06T21:32:54	MarkS	desktop-i7	250000	25000000	32705856430808400205594967	84.758	7	2	5080343517154757	7	0.208
2020-10-20T21:27:19	J.R. Allen	lapacer	250000	25000000						7	0.208
2020-11-04T20:53:47	nordi	sweet16	250000	25000000						7	0.208
2020-12-18T02:43:29	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.208
2021-01-24T04:19:49	nordi	sweet16	250000	38392042						7	0.245
2021-03-08T21:15:48	Ducho_YYZ	oracle1	250000	36250000						7	0.239
2021-05-01T08:54:50	nordi	sweet16	250000	38500000						7	0.246
2021-06-30T16:53:27	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.208
2021-08-05T20:31:44	Ahmed Azhad	c5.4xlarge.azf2	250000	38500000						7	0.246
2021-09-15T10:02:05	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.208
2021-10-18T08:58:07	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.208
2021-12-09T14:57:22	mnd9	f4	250000	25000000						7	0.208
2022-02-19T10:45:31	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						7	0.208
2022-04-10T03:47:21	Dylan Delgado	colab	250000	38500000						7	0.246
2022-05-28T03:53:48	debrouxl	dl380g9-1	250000	36250000						7	0.239

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