M203449 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	146.0509	73.1343%	30000000	10264076402580	3,739.1646	23.1707%	3,885.2155	79.3593%	6.2250%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	50000	0.0000	12.6774%	0.0000	60.7048%	5.7048%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8906%	0.0001	62.7280%	3.6371%
Difference	+23	+146.0509	+14.0434%	+29996400	+10264076322580	+3,739.1645	+14.2802%	+3,885.2155	+16.6313%	+16.6313%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
203449	44406090236236269113	20	65.267	109133223157244 2² × 11 × 13 × 2423 × 78742199	2009-02-16	2423	78742199	46.704	0.0287	0.0536
203449	529702783086232600491217	24	78.810	1301807290982586792 2³ × 3 × 23 × 79 × 29852487868799	2014-12-12	79	29852487868799	547,862	10,875	20,311
203449	9674053165798913721048752313761	31	102.932	23775130784125047852407120 2⁴ × 5 × 7 × 109 × 76481 × 134291 × 37923457393	2022-02-06	134291	37923457393	7.840e+11	13.816	25.802

exponent	prime factors	composite factor	digits	bits*
203449	44406090236236269113 529702783086232600491217	23522029584112731833411335606486955204880521	44	144.077
203449	44406090236236269113 9674053165798913721048752313761	42958687783061371168826757908132046867652500916399 3	51	168.199
203449	529702783086232600491217 9674053165798913721048752313761	51243728856478637781935405605628445369470317739087 37137	55	181.741
203449	44406090236236269113 529702783086232600491217 9674053165798913721048752313761	22755336476420147929147152240989831402708323496405 1902659630528198309149481	75	247.009

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2001-04-29T00:00:00	ANONYMOUS	v4_computers	100000	10000000		-		-	-	0.004	-	-	2.628%
2002-06-02T00:00:00	ANONYMOUS	v4_computers	32768	3276800		-		-	-	0.001	-	-	1.496%
2002-07-27T00:00:00	ANONYMOUS	v4_computers	65536	6553600		-		-	-	0.003	-	-	2.160%
2003-02-16T00:00:00	ANONYMOUS	v4_computers	131072	13107200		-		-	-	0.006	-	-	2.952%
2003-10-14T00:00:00	ANONYMOUS	v4_computers	262144	26214400		-		-	-	0.011	-	-	3.861%
2021-05-04T20:38:55	Oliver Kruse	Ollaptop	30000000	3000000000		-	skipped known factor: 44406090236236269113	-	-	1.282	-	-	12.375%
2022-02-06T14:01:41	Oliver Kruse	Threadripper-PC	30000000	10264076402580			9674053165798913721048752313761	31	102.932	3,739	0.002	7,478	23.171%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
1999-11-17T00:00:00	ANONYMOUS	v4_computers	2⁵²	2⁵³		-	-	0.003	-	-
2000-04-12T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁴		-	-	0.012	-	-
2022-03-07T04:57:47	LordJulius	Manual testing	2⁵⁴	2⁵⁵		-	-	0.012	-	-
2001-02-04T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁶		-	-	0.047	-	-
2002-03-16T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵⁷		-	-	0.094	-	-
2022-03-07T04:57:47	LordJulius	Manual testing	2⁵⁷	2⁵⁸		-	-	0.094	-	-
2008-12-30T21:41:00	Sturle Sunde	wright.ifi	2⁵⁸	2⁵⁹		-	-	0.189	-	-
2009-01-28T05:41:00	Sturle Sunde	gorilla.ifi	2⁵⁹	2⁶⁰		-	-	0.377	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.709 GHz-days
Estimated T-Level:	28.313

Digits	B1	Curves	Complete	FacMiss
20	11000	653 / 100	6.530	0.141%
25	50000	653 / 280	2.332	9.668%
30	250000	424 / 640	0.663	51.529%

New Calculation Method

Total ECM effort:	11.709 GHz-days
Estimated T-Level:	28.313

Digits	B1	Complete	FacMiss
20	11000	47.862	0.000%
25	50000	6.859	0.105%
30	250000	0.720	48.669%
35	1000000	0.059	94.260%
40	3000000	0.004	99.606%

ECM Summary

B1	B2	factor	curves	GHz-days
		44406090236236269113	1	0.00000e+0
		529702783086232600491217	1	0.00000e+0
50000	5000000		229	1.118
250000	25000000		361	8.814
250000	29000000		7	0.180
250000	36000000		14	0.391
250000	37250000		7	0.199
250000	38500000		35	1.007

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2007-08-14T00:04:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-08-20T18:23:00	George Woltman	D_P4DUAL	50000	5000000						1	0.005
2007-08-30T12:21:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-09-09T07:49:00	Team_Bundu	bundu1	50000	5000000						1	0.005
2007-10-11T22:33:00	Chad Davis	Bayes	50000	5000000						1	0.005
2007-12-20T14:57:00	Sturle Sunde	minister	50000	5000000						1	0.005
2007-12-20T16:15:00	Steve Scott	Abit	50000	5000000						1	0.005
2007-12-20T16:18:00	Steve Scott	Abit	50000	5000000						1	0.005
2007-12-20T16:20:00	Steve Scott	Abit	50000	5000000						1	0.005
2007-12-20T18:28:00	Sturle Sunde	minister	50000	5000000						1	0.005
2008-01-02T11:02:00	Steve Scott		50000	5000000						1	0.005
2008-02-15T17:04:00	Steve Scott	Abit-3	50000	5000000						3	0.015
2008-06-22T10:54:00	Sturle Sunde	v17	50000	5000000						3	0.015
2008-09-11T21:57:00	Sturle Sunde	v21	50000	5000000						3	0.015
2008-09-24T22:57:00	Sturle Sunde	v23	50000	5000000						3	0.015
2008-10-19T23:58:00	Sturle Sunde	v21	50000	5000000						3	0.015
2008-11-16T11:46:00	Jayson King	atlas	50000	5000000						3	0.015
2008-12-02T05:33:00	Jayson King	atlas	50000	5000000						3	0.015
2008-12-20T04:16:00	Sturle Sunde	v21	50000	5000000						3	0.015
2009-01-22T00:34:00	Sturle Sunde	v21	50000	5000000						3	0.015
2009-02-15T05:22:00	Sturle Sunde	v22	50000	5000000						3	0.015
2009-02-16T04:47:00	axn	Manual testing			44406090236236269113	65.267		1		1	-
2014-07-28T13:26:00	TJAOI	Manual testing	50000	5000000						5	0.024
2014-12-12T13:36:00	TJAOI	Manual testing	50000	5000000						2	0.010
2014-12-12T13:36:00	TJAOI	Manual testing			529702783086232600491217	78.810		1		1	-
2015-07-24T08:17:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-03-11T13:47:11	TJAOI	Manual testing	50000	5000000						91	0.444
2018-03-16T09:29:23	TJAOI	Manual testing	250000	25000000						44	1.074
2019-06-26T05:27:50	happy5214	Cosmic	250000	25000000						3	0.073
2019-09-10T13:11:13	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-11-20T05:27:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T08:34:53	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T11:56:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T16:33:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-20T21:32:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-21T03:09:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-21T15:13:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-21T22:35:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T06:03:16	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-11-22T06:57:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-22T15:46:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T13:14:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-23T22:51:34	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-11-24T04:03:58	wazuma	G751	250000	25000000						3	0.073
2019-11-24T13:18:03	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-11-25T03:43:30	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-25T17:13:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T08:05:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-26T23:34:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-27T16:30:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-28T10:15:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-29T05:37:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-11-30T23:46:33	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-12-01T01:13:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-02T01:31:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T02:26:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T05:59:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T08:13:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T11:16:42	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T13:45:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T13:45:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T18:39:51	Ducho_YYZ	oracleKO	250000	25000000						3	0.073
2019-12-10T18:21:23	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-11T13:26:48	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T14:25:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-13T15:05:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T16:38:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-15T18:50:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T02:06:26	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-18T05:59:28	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-19T06:10:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T16:32:13	Ducho_YYZ	oracleDE	250000	25000000						3	0.073
2019-12-21T18:55:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23T03:44:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T22:18:29	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2019-12-26T08:40:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T07:20:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30T10:48:24	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-01-01T04:24:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03T07:14:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-05T07:57:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-07T13:19:21	kracker	O0	250000	25000000						3	0.073
2020-01-09T17:03:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-11T21:45:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T03:17:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T07:35:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-18T13:51:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-20T23:09:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T06:41:55	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-25T15:15:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T04:03:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-30T19:13:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-02T18:07:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-05T20:35:20	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-09T03:08:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-12T14:41:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-16T10:18:00	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-19T12:49:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-23T03:52:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-26T16:51:10	kracker	O0	250000	25000000						3	0.073
2020-03-01T04:31:36	kracker	O0	250000	25000000						3	0.073
2020-03-05T22:49:05	ANONYMOUS	UC	250000	25000000						3	0.073
2020-03-11T15:04:44	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-17T07:40:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-22T22:46:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-12T17:04:40	Oliver Kruse	IOS-1	250000	25000000						3	0.073
2020-04-29T07:23:15	Greg	azure4	250000	25000000						3	0.073
2020-05-03T09:36:32	Greg Hogan	azure3	250000	25000000						3	0.073
2020-05-09T12:13:09	Greg Hogan	azure	250000	25000000						3	0.073
2020-05-28T15:29:45	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-06-15T07:17:16	Chang Chia-Tche	exbpc13	250000	25000000						3	0.073
2020-06-25T13:52:25	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.073
2020-07-04T17:00:21	argusdusty	Argus-PC	250000	25000000						3	0.073
2020-07-13T17:35:43	argusdusty	Manual testing	250000	25000000						3	0.073
2020-07-29T21:52:48	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-09-06T19:40:13	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.171
2020-10-20T18:59:09	nordi	sweet16	250000	25000000						7	0.171
2020-11-04T19:08:46	nordi	sweet16	250000	25000000						7	0.171
2020-12-18T05:19:39	Chang Chia-Tche	exbpc13	250000	25000000						7	0.171
2021-01-23T17:30:51	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-03-01T01:43:20	Ducho_YYZ	Dutch	250000	37250000						7	0.199
2021-04-25T19:52:15	fbaur	ubuntu	250000	25000000						7	0.171
2021-12-11T15:30:32	Dylan Delgado	colab	250000	38500000						7	0.201
2021-12-12T07:05:05	Dylan Delgado	colab	250000	38500000						7	0.201
2021-12-13T05:09:25	Lisander Viaene	Gaming_Desktop	250000	36000000						7	0.196
2021-12-14T14:37:25	Dylan Delgado	colab	250000	38500000						7	0.201
2022-02-06T16:58:43	Dylan Delgado	colab	250000	38500000						7	0.201
2022-03-06T06:00:25	storm5510	3570_Ivy_Bridge	250000	29000000						7	0.180
2022-05-06T04:18:29	Dylan Delgado	colab	250000	38500000						7	0.201
2022-06-03T15:41:54	Corey	tab	250000	25000000						7	0.171
2022-06-28T15:03:56	debrouxl	dl380g9-1	250000	36000000						7	0.196
2022-07-24T21:14:15	Corey	tab	250000	25000000						7	0.171

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