M194717 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	100000000	2000000000	1.3607	49.5149%	1.3607	49.5149%	49.5149%
PrimeNet	2⁴⁰	0.0000	55.0000%	2000	50000	0.0000	12.4359%	0.0000	60.5961%	5.5961%
GPU72	2⁴⁴	0.0000	59.0909%	3600	80000	0.0001	8.8260%	0.0001	62.7016%	3.6106%
Difference	-44	0.0000	-59.0909%	+99996400	+1999920000	+1.3607	+40.6889%	+1.3607	-13.1866%	-13.1866%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
194717	1198553233121	13	40.124	3077680 2⁴ × 5 × 17 × 31 × 73	-	31	73	8.760e-7	2.226e-7	4.218e-7
194717	3626230136624083742252739599588452583	37	121.448	9311539661724666419092168633423 43 × 107 × 80527 × 3655271 × 67144219 × 102399901	2017-08-27	67144219	102399901	8.294e+11	0.4618	0.9137

exponent	prime factors	composite factor	digits	bits*
194717	1198553233121 3626230136624083742252739599588452583	4346229854291601121471273883006446804372053601543	49	161.572

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2017-08-27T02:20:08	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12		3626230136624083742252739599588452583	37	121.448	1.361	0.002	2.721	41.996%

ECM factoring results:

Old Calculation Method

Total ECM effort:	11.352 GHz-days
Estimated T-Level:	28.172

Digits	B1	Curves	Complete	FacMiss
20	11000	687 / 100	6.870	0.100%
25	50000	687 / 280	2.454	8.561%
30	250000	406 / 640	0.634	53.000%

New Calculation Method

Total ECM effort:	11.352 GHz-days
Estimated T-Level:	28.172

Digits	B1	Complete	FacMiss
20	11000	42.898	0.000%
25	50000	5.725	0.326%
30	250000	0.580	55.983%
35	1000000	0.046	95.469%
40	3000000	0.003	99.697%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	281	1.371
250000	25000000	385	9.389
250000	36170960	14	0.392
250000	38500000	7	0.201

ECM Details

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2014-07-28T13:50:00	TJAOI	Manual testing	50000	5000000						50	0.244
2014-12-12T13:35:00	TJAOI	Manual testing	50000	5000000						50	0.244
2015-06-05T09:22:00	TJAOI	Manual testing	50000	5000000						90	0.439
2016-03-24T20:20:15	TJAOI	Manual testing	50000	5000000						91	0.444
2017-08-04T10:33:02	TJAOI	Manual testing	250000	25000000						44	1.073
2019-04-30T22:19:32	happy5214	Cosmic	250000	25000000						3	0.073
2019-06-02T00:46:45	storm5510	M520_Arrandale	250000	25000000						3	0.073
2019-06-14T11:47:21	TJAOI	Manual testing	250000	25000000						100	2.439
2019-12-01T08:08:28	ATH	ec2-ECMCF	250000	25000000						3	0.073
2019-12-02T09:45:50	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-03T12:03:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-04T14:16:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-05T16:50:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-06T19:59:13	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-07T22:47:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-08T21:40:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-09T21:08:04	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-10T21:12:57	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-11T21:14:36	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-12T22:10:03	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-14T04:10:59	Ducho_YYZ	oracleSW2	250000	25000000						3	0.073
2019-12-15T05:56:22	Ducho_YYZ	oracleDE2	250000	25000000						3	0.073
2019-12-16T03:23:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-17T06:07:37	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-18T10:24:54	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-19T15:29:15	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-20T21:33:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-22T05:38:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-23T14:25:41	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-25T00:13:12	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-26T23:33:02	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-28T21:31:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2019-12-30T19:29:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-02T23:55:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-03T00:41:39	Ducho_YYZ	Dutch	250000	25000000						3	0.073
2020-01-06T00:17:29	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-08T05:44:19	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-10T09:15:16	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-12T14:33:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-14T19:09:40	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-16T23:40:08	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-19T07:17:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-21T16:20:07	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-23T23:30:47	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-26T09:32:21	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-28T23:14:51	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-01-31T16:53:52	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-03T19:25:35	kracker	O0	250000	25000000						3	0.073
2020-02-06T20:32:34	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-10T05:21:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-13T18:34:33	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-17T15:14:46	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-20T18:00:17	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-24T14:34:59	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-02-27T16:42:35	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-02T18:12:18	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-07T11:05:22	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-13T11:45:38	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-03-19T00:07:05	Niels_Mache_Nextcloud	SuperDry-Y	250000	25000000						3	0.073
2020-04-01T03:23:28	-Anonymous-	aws-nano	250000	25000000						3	0.073
2020-04-16T07:11:10	Oliver Kruse	Melissa	250000	25000000						3	0.073
2020-04-30T13:57:28	Greg	azure3	250000	25000000						3	0.073
2020-05-04T23:39:37	kracker	O0	250000	25000000						3	0.073
2020-05-16T04:08:49	nordi	sweet16	250000	25000000						3	0.073
2020-06-03T08:15:13	kracker	O0	250000	25000000						3	0.073
2020-06-24T09:13:39	King	PleaseFactor	250000	25000000						3	0.073
2020-06-28T03:04:15	_p95holder_	TFL18_PRPt12pE_m	250000	25000000						3	0.073
2020-07-11T17:50:46	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						3	0.073
2020-07-24T00:06:39	_p95holder_	TFL15_PRPt13pE_s	250000	25000000						3	0.073
2020-08-07T13:44:42	Massimo Cappelli (ik5pwa)	maxlinux_8	250000	25000000						3	0.073
2020-09-19T00:48:00	nordi	sweet16	250000	25000000						7	0.171
2020-10-25T04:42:50	nordi	sweet16	250000	25000000						7	0.171
2020-11-07T23:48:23	MarkS	desktop-i7	250000	25000000						7	0.171
2021-01-04T15:46:24	_p95holder_	TFL1_PRPt8pE_n	250000	25000000						7	0.171
2021-01-28T16:45:31	mnd9	consult	250000	25000000						7	0.171
2021-03-08T19:23:39	_p95holder_	TFL17_PRPt12pE_k	250000	25000000						7	0.171
2021-04-26T13:36:23	nordi	sweet16	250000	38500000						7	0.201
2021-06-25T11:39:27	seatsea	dt	250000	36170960						7	0.196
2021-07-14T09:06:24	seatsea	Manual testing	250000	36170960						7	0.196
2021-09-14T19:43:11	_p95holder_	TFL15_PRPt13pE_s	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