M216661 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	137.1447	73.1343%	30000000	10070832992220	4,464.4073	23.2276%	4,601.5520	79.3746%	6.2403%
PrimeNet	2⁴⁰	0.0000	55.0000%	2200	55000	0.0000	13.0372%	0.0000	60.8667%	5.8667%
GPU72	2⁴⁴	0.0000	59.0909%	4000	90000	0.0001	9.3661%	0.0001	62.9225%	3.8316%
Difference	+23	+137.1447	+14.0434%	+29996000	+10070832902220	+4,464.4072	+13.8615%	+4,601.5519	+16.4521%	+16.4521%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
216661	20470131281	11	34.253	47240 2³ × 5 × 1181	-	8	1181	1.294e-8	5.851e-7	9.774e-7
216661	2314111075513	13	41.074	5340396 2² × 3 × 445033	2008-07-21	4	445033	2.609e-6	0.0002	0.0004
216661	30054282959020847041	20	64.704	69357851572320 2⁵ × 3² × 5 × 31 × 773 × 2009981	2014-07-28	773	2009981	22.475	0.0009	0.0017
216661	28057749753317843719601567513	29	94.502	64750346747494573826396 2² × 7927 × 2042082337186027937	2021-12-28	7927	2042082337186027937	2.764e+10	905,209,720	1.691e+9

exponent	prime factors	composite factor	digits	bits*
216661	20470131281 2314111075513	47370157514567214422153	23	75.326
216661	20470131281 30054282959020847041	615215117727477882145090389521	30	98.957
216661	2314111075513 30054282959020847041	69548949062071760451436773607033	32	105.778
216661	20470131281 28057749753317843719601567513	574345820899861626260085440004494674153	39	128.755
216661	2314111075513 28057749753317843719601567513	64928749458124965770101235797349110609169	41	135.576
216661	20470131281 2314111075513 30054282959020847041	1423676117756190754283694580807041414899273	43	140.031
216661	30054282959020847041 28057749753317843719601567513	843255550279611845272121721749698037348607779033	48	159.207
216661	20470131281 2314111075513 28057749753317843719601567513	13291000253189756614176035614320730059582793123154 89	52	169.829
216661	20470131281 30054282959020847041 28057749753317843719601567513	17261551817655550730442990813628071846634042399383 349231273	59	193.459
216661	2314111075513 30054282959020847041 28057749753317843719601567513	19513870083898592151388441416736430493917719904512 53881118929	61	200.280
216661	20470131281 2314111075513 30054282959020847041 28057749753317843719601567513	39945148241778266562999762222657236278582739845755 845377565243804118049	71	234.533

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2021-05-02T23:40:03	Dylan Delgado	laptop-i78750	8296000	837896000		-	skipped known factor: 20470131281 skipped known factor: 2314111075513 skipped known factor: 30054282959020847041	-	-	0.435	-	-	9.863%
2021-05-06T14:12:57	Dylan Delgado	laptop-i78750	15000000	1665000000		-	skipped known factor: 20470131281 skipped known factor: 2314111075513 skipped known factor: 30054282959020847041	-	-	0.853	-	-	11.170%
2021-05-26T17:40:53	Oliver Kruse	Ollaptop	30000000	3000000000		-	skipped known factor: 20470131281 skipped known factor: 2314111075513 skipped known factor: 30054282959020847041	-	-	1.561	-	-	12.433%
2022-02-28T07:03:12	Oliver Kruse	Threadripper-PC	30000000	10070832992220		-	skipped known factor: 20470131281 skipped known factor: 2314111075513 skipped known factor: 30054282959020847041	-	-	4,464	-	-	23.228%

	Bits	Factor	GHz-Days	worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved
2008-07-21T09:14:00	J Feitsma	Manual testing	?	?	2314111075513	41.074	13	1.25729e-6	0.003	2.60998e-6

ECM factoring results:

Old Calculation Method

Total ECM effort:	12.714 GHz-days
Estimated T-Level:	27.859

Digits	B1	Curves	Complete	FacMiss
20	11000	647 / 100	6.470	0.150%
25	50000	647 / 280	2.311	9.878%
30	250000	366 / 640	0.572	56.421%

New Calculation Method

Total ECM effort:	12.714 GHz-days
Estimated T-Level:	27.859

Digits	B1	Complete	FacMiss
20	11000	39.565	0.000%
25	50000	5.260	0.520%
30	250000	0.530	58.862%
35	1000000	0.042	95.865%
40	3000000	0.003	99.724%

ECM Summary

B1	B2	factor	curves	GHz-days
		30054282959020847041	1	0.00000e+0
50000	5000000		281	1.673
250000	25000000		312	9.286
250000	25000000	28057749753317843719601567513	26	0.774
250000	38500000		28	0.982

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T13:55:00	TJAOI	Manual testing	50000	5000000						50	0.298
2014-07-28T14:56:00	TJAOI	Manual testing			30054282959020847041	64.704		1		1	-
2014-12-19T13:18:00	TJAOI	Manual testing	50000	5000000						50	0.298
2015-06-05T09:22:00	TJAOI	Manual testing	50000	5000000						90	0.536
2016-03-04T13:11:19	TJAOI	Manual testing	50000	5000000						91	0.542
2018-09-07T12:09:27	TJAOI	Manual testing	250000	25000000						44	1.310
2019-11-23T16:28:23	ATH	ec2-ECMCF	250000	25000000						3	0.089
2019-11-24T06:10:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-24T21:49:32	wazuma	G751	250000	25000000						3	0.089
2019-11-25T08:47:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-25T22:45:32	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-27T06:05:56	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-27T08:41:01	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						3	0.089
2019-11-27T21:53:45	ATH	ec2-ECMCF	250000	25000000						3	0.089
2019-11-28T17:27:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-29T14:09:11	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-11-30T11:01:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-01T10:18:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-02T10:41:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-03T13:14:58	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-04T20:34:47	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-05T17:54:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-06T21:10:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-08T06:35:41	Ducho_YYZ	oracleSP2	250000	25000000						3	0.089
2019-12-09T03:45:18	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-09T22:14:49	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-10T22:17:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-11T22:24:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-13T04:05:35	Ducho_YYZ	oracleDE2	250000	25000000						3	0.089
2019-12-14T01:15:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-15T02:19:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-16T04:25:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-17T07:18:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-18T11:38:10	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-19T16:41:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-20T22:50:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-22T07:00:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-23T20:10:45	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2019-12-25T02:13:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-27T01:43:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-28T23:29:01	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2019-12-30T21:32:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-01T21:34:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-04T02:04:30	kracker	O0	250000	25000000						3	0.089
2020-01-06T02:35:31	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-08T08:41:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-10T11:20:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-12T17:02:45	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-15T08:15:55	astraeus	x7	250000	25000000						3	0.089
2020-01-17T02:17:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-19T09:48:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-21T18:55:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-24T07:13:08	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2020-01-26T12:23:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-29T02:12:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-01-31T20:41:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-03T20:35:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-07T01:58:36	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-02-10T09:05:43	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-13T22:13:27	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-17T20:33:45	kracker	O0	250000	25000000						3	0.089
2020-02-20T21:59:06	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-24T18:45:25	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-02-27T21:48:39	kracker	O0	250000	25000000						3	0.089
2020-03-03T00:13:09	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-07T22:56:03	-Anonymous-	aws-nano	250000	25000000						3	0.089
2020-03-13T17:02:23	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-03-19T07:22:28	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.089
2020-04-04T09:57:05	TBB_IL	Small	250000	25000000						3	0.089
2020-04-17T04:39:10	Oliver Kruse	Melissa	250000	25000000						3	0.089
2020-04-30T22:20:57	kracker	O0	250000	25000000						3	0.089
2020-05-05T09:39:53	Chang Chia-Tche	exbpc13	250000	25000000						3	0.089
2020-05-16T22:42:14	volki	home	250000	25000000						3	0.089
2020-06-04T02:34:23	kracker	O0	250000	25000000						3	0.089
2020-06-19T10:08:31	kracker	O0	250000	25000000						3	0.089
2020-06-28T11:33:36	nordi	sweet16	250000	25000000						3	0.089
2020-07-12T09:16:08	argusdusty	Argus-PC	250000	25000000						3	0.089
2020-07-13T17:35:49	argusdusty	Manual testing	250000	25000000						3	0.089
2020-08-08T00:07:05	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.089
2020-09-20T02:45:25	MarkS	desktop-i7	250000	25000000						7	0.208
2020-10-26T02:35:21	MarkS	laptop64	250000	25000000						7	0.208
2020-11-09T00:36:58	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.208
2021-01-06T22:54:34	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.208
2021-01-31T10:07:21	seatsea	dt	250000	38500000						7	0.246
2021-03-21T15:36:39	Poao	justg-ZA	250000	25000000						7	0.208
2021-05-03T20:36:53	nordi	sweet16	250000	38500000						7	0.246
2021-07-04T22:01:07	Jaytholomew	Jatholomew-Work	250000	25000000						7	0.208
2021-07-14T09:04:15	seatsea	Manual testing	250000	38500000						7	0.246
2021-09-19T05:15:17	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						7	0.208
2021-10-21T15:38:25	Dylan Delgado	colab	250000	38500000						7	0.246
2021-12-28T12:15:38	MarkS	desktop-i7	250000	25000000	28057749753317843719601567513	94.502	26	2	2274171738519277	26	0.774

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