M225749 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	2⁶⁷	131.6237	73.1343%	30000000	3000000000	1.5606	12.4719%	133.1843	76.4850%	3.3507%
PrimeNet	2⁴⁰	0.0000	55.0000%	2400	60000	0.0000	13.4788%	0.0000	61.0655%	6.0655%
GPU72	2⁴⁴	0.0000	59.0909%	4000	100000	0.0001	9.6386%	0.0001	63.0340%	3.9431%
Difference	+23	+131.6237	+14.0434%	+29996000	+2999900000	+1.5605	+2.8333%	+133.1842	+13.4510%	+13.4510%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
225749	578538117630397751	18	59.005	1281374707375 5³ × 7 × 127 × 11530931	2014-04-23	127	11530931	0.6005	0.0051	0.0095
225749	9567977676190932303802168975413450208513	40	132.813	21191628038642324669881525445103744 2⁷ × 3⁵ × 7² × 149 × 599 × 1871 × 3251 × 12155159 × 2107111451	2021-06-14	12155159	2107111451	6.514e+11	1.0275	1.7445

exponent	prime factors	composite factor	digits	bits*
225749	578538117630397751 9567977676190932303802168975413450208513	55354397943131693162051487504616528511289816966180 76254263	58	191.819

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-05-13T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.005	-	-	2.670%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.002	-	-	1.524%
2002-08-03T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.197%
2021-06-14T03:10:41	Oliver Kruse	Ollaptop	30000000	3000000000			9567977676190932303802168975413450208513	40	132.813	1.561	0.003	3.121	12.472%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2003-02-24T00:00:00	ANONYMOUS	v4_computers	?	?	578538117630397751	59.005	18	0.260	0.003	0.540
2003-08-25T00:00:00	ANONYMOUS	v4_computers	?	?	578538117630397751	59.005	18	0.260	0.003	0.540
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-19T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁴		-	-	0.011	-	-
2001-02-11T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁶		-	-	0.043	-	-
2002-04-07T00:00:00	ANONYMOUS	v4_computers	?	2⁵⁷		-	-	0.085	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	10.793 GHz-days
Estimated T-Level:	27.391

Digits	B1	Curves	Complete	FacMiss
20	11000	587 / 100	5.870	0.274%
25	50000	587 / 280	2.096	12.243%
30	250000	306 / 640	0.478	61.971%

New Calculation Method

Total ECM effort:	10.793 GHz-days
Estimated T-Level:	27.391

Digits	B1	Complete	FacMiss
20	11000	34.565	0.000%
25	50000	4.506	1.104%
30	250000	0.448	63.867%
35	1000000	0.035	96.520%
40	3000000	0.002	99.770%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		281	1.675
250000	25000000		306	9.118

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T14:41:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-01-02T14:31:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-06-12T09:27:00	TJAOI	Manual testing	50000	5000000						90	0.536
2016-04-15T10:20:46	TJAOI	Manual testing	50000	5000000						91	0.542
2017-05-19T20:17:25	TJAOI	Manual testing	250000	25000000						44	1.311
2019-11-29T20:28:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-30T19:19:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-01T19:17:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-02T19:43:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-03T22:33:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-05T01:19:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-06T04:01:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-07T06:36:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-08T07:37:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-09T12:26:36	Ducho_YYZ	oracleDE2	250000	25000000						3	0.089
2019-12-10T12:17:44	Ducho_YYZ	oracleSW2	250000	25000000						3	0.089
2019-12-11T07:13:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-12T12:28:34	Ducho_YYZ	oracleKO2	250000	25000000						3	0.089
2019-12-13T08:36:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-14T09:51:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-15T11:48:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-16T14:06:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17T17:16:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-18T22:10:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-20T03:45:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-21T10:22:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-22T18:55:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-24T10:58:43	Ducho_YYZ	oracleJP	250000	25000000						3	0.089
2019-12-25T19:40:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-27T19:17:24	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-29T21:31:52	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-31T15:32:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-02T15:58:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-04T20:33:14	kracker	O0	250000	25000000						3	0.089
2020-01-06T22:27:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-09T04:01:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-11T07:39:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-13T14:59:21	kracker	O0	250000	25000000						3	0.089
2020-01-15T17:32:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-17T23:05:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-20T08:25:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-22T15:48:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-24T22:44:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-27T10:52:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-30T02:35:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-01T22:03:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-05T00:47:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-08T06:50:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-11T15:38:39	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-15T08:33:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-18T14:37:22	kracker	O0	250000	25000000						3	0.089
2020-02-22T02:50:42	kracker	O0	250000	25000000						3	0.089
2020-02-25T21:45:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-29T00:55:14	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-04T17:27:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-10T08:50:21	MarkS	desktop-i7	250000	25000000						3	0.089
2020-03-15T21:04:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-21T07:20:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-10T10:26:47	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-04-27T20:20:32	Greg	azure2	250000	25000000						3	0.089
2020-05-02T11:28:42	Oliver Kruse	IOS-1	250000	25000000						3	0.089
2020-05-08T01:32:27	Oliver Kruse	IOS-2	250000	25000000						3	0.089
2020-05-25T04:39:51	nordi	sweet16	250000	25000000						3	0.089
2020-06-10T16:17:37	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.089
2020-06-23T03:54:24	kracker	O0	250000	25000000						3	0.089
2020-07-02T04:29:11	kracker	O0	250000	25000000						3	0.089
2020-07-17T22:02:46	nordi	sweet16	250000	25000000						3	0.089
2020-07-26T07:56:04	MarkS	desktop-i7	250000	25000000						3	0.089
2020-08-15T19:32:57	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2020-09-29T05:09:53	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.209
2020-10-30T18:06:47	nordi	sweet16	250000	25000000						7	0.209
2020-11-20T17:54:33	nordi	sweet16	250000	25000000						7	0.209
2021-01-16T20:31:37	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-02-06T11:52:37	Kublenz	Medion_E4272	250000	25000000						7	0.209
2021-03-21T20:43:32	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.209
2021-05-05T05:17:14	MarkS	desktop-i7	250000	25000000						21	0.626
2021-09-08T18:17:46	_p95holder_	TFL18_PRPt12pE_m	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