M40127 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	1000000000	488172244560	28.5103	62.3140%	28.5103	62.3140%	62.3140%
PrimeNet	2⁴⁰	0.0000	60.0000%	500	10000	0.0000	4.4170%	0.0000	61.7668%	1.7668%
GPU72	2⁴⁴	0.0001	63.6364%	500	10000	0.0000	1.9145%	0.0001	64.3325%	0.6962%
Difference	-44	-0.0001	-63.6364%	+999999500	+488172234560	+28.5103	+60.3995%	+28.5102	-2.0185%	-2.0185%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
40127	7784639	7	22.892	97 97	-	1	97	1.422e-11	6.449e-9	1.036e-8
40127	12243666566814219527	20	63.409	152561449483069 11 × 31 × 112951 × 3960959	2009-04-22	112951	3960959	67.616	0.0003	0.0004
40127	2788235927157246999696783155286540649	37	121.069	34742641203644017739885652494412 2² × 3² × 11 × 733 × 79798740823 × 1499918398028483	2021-09-28	79798740823	1499918398028483	4.616e+12	84,669	157,993

exponent	prime factors	composite factor	digits	bits*
40127	7784639 12243666566814219527	95312524259018079084445753	26	86.301
40127	7784639 2788235927157246999696783155286540649	21705410139749464126472566325186660511290711	44	143.961
40127	12243666566814219527 2788235927157246999696783155286540649	34138231001725432652565696162849087818080216010695 053023	56	184.477
40127	7784639 12243666566814219527 2788235927157246999696783155286540649	26575380444704087031903636841146536014305215468528 1126869913697	63	207.370

	GHz-Days	worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved
2016-09-13T09:08:48	kkmrkkblmbrbk	Manual testing	100000000	2000000000	12	-	skipped known factor: 7784639 skipped known factor: 12243666566814219527	-	-	0.211	-	-	39.089%
2021-12-17T11:33:00	Lisander Viaene	Desktop	1000000000	1000000000		-	skipped known factor: 7784639 skipped known factor: 12243666566814219527	-	-	1.035	-	-	34.638%
2021-12-19T18:46:42	Lisander Viaene	Desktop	1100000000	1100000000		-	skipped known factor: 7784639 skipped known factor: 12243666566814219527	-	-	1.139	-	-	34.863%
2021-12-21T16:11:06	Lisander Viaene	Manual testing	1250000000	1250000000		-	skipped known factor: 7784639 skipped known factor: 12243666566814219527	-	-	1.294	-	-	35.162%
2021-12-22T15:21:45	Lisander Viaene	Desktop	1000000000	488172244560		-	skipped known factor: 7784639 skipped known factor: 12243666566814219527	-	-	28.51	-	-	54.398%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-05-08T04:24:04	ATH	colab-Pp1	100000000	10000000000	2	7			-	-	0.705

ECM factoring results:

Old Calculation Method

Total ECM effort:	25.621 GHz-days
Estimated T-Level:	34.984

Digits	B1	Curves	Complete	FacMiss
20	11000	2410 / 100	24.100	0.000%
25	50000	2410 / 280	8.607	0.018%
30	250000	2144 / 640	3.350	3.499%
35	1000000	1561 / 1566	0.997	36.894%

New Calculation Method

Total ECM effort:	25.621 GHz-days
Estimated T-Level:	34.984

Digits	B1	Complete	FacMiss
20	11000	323.397	0.000%
25	50000	61.191	0.000%
30	250000	9.013	0.012%
35	1000000	1.082	33.908%
40	3000000	0.108	89.803%
45	11000000	0.009	99.103%

ECM Summary

B1	B2	factor	curves	GHz-days
		12243666566814219527	1	0.00000e+0
50000	5000000		266	0.198
250000	25000000		583	2.171
1000000	100000000		1,373	20.45
1000000	100000000	2788235927157246999696783155286540649	188	2.800

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

										GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-04-22T01:31:00	Matthias Wurtinger	WUR_E6600	50000	5000000						13	0.010
2009-04-22T01:31:00	Matthias Wurtinger	WUR_E6600			12243666566814219527	63.409		1		1	-
2010-04-27T06:32:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-27T18:28:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-28T07:55:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-28T18:31:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-29T06:11:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-29T18:13:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-30T06:11:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-04-30T18:10:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-01T06:07:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-01T18:07:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-02T06:02:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-02T18:01:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-03T06:22:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-03T17:53:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-04T05:45:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-04T17:39:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-05T05:39:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-05T17:38:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-06T05:29:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-06T17:28:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-07T05:18:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-07T17:12:00	James Hintz	04_122109	50000	5000000						11	0.008
2010-05-08T05:12:00	James Hintz	04_122109	50000	5000000						11	0.008
2011-01-22T19:21:00	James Hintz	NEW_OMFG	250000	25000000						3	0.011
2011-02-21T04:52:00	James Hintz	17_051310	250000	25000000						11	0.041
2011-03-08T20:34:00	James Hintz	13_052010	250000	25000000						11	0.041
2016-08-12T13:26:51	TJAOI	Manual testing	250000	25000000						18	0.067
2016-08-14T11:25:03	kkmrkkblmbrbk	kel1	250000	25000000						540	2.011
2016-08-18T01:35:08	kkmrkkblmbrbk	kel1	1000000	100000000						100	1.490
2018-10-28T00:06:46	storm5510	7700_Kaby_Lake	1000000	100000000						3	0.045
2018-10-28T23:54:43	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-10-29T21:59:52	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-10-31T00:14:02	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-01T07:03:55	Niels_Mache_Nextcloud	SuperDry-X	1000000	100000000						3	0.045
2018-11-02T19:45:22	storm5510	7700_Kaby_Lake	1000000	100000000						3	0.045
2018-11-04T06:37:07	Niels_Mache_Nextcloud	SuperDry-JP	1000000	100000000						3	0.045
2018-11-05T09:47:16	Niels_Mache_Nextcloud	SuperDry3	1000000	100000000						3	0.045