M2275447 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	2⁶⁸	26.1948	67.6471%	3000000	90000000	0.7379	7.6764%	26.9327	70.1306%	2.4835%
PrimeNet	2⁵⁸	0.0169	62.0690%	10000	190000	0.0019	2.9222%	0.0188	63.1774%	1.1084%
GPU72	2⁶²	0.2700	64.5161%	12000	190000	0.0021	1.7085%	0.2721	65.1224%	0.6063%
Difference	+6	+25.9248	+3.1309%	+2988000	+89810000	+0.7358	+5.9678%	+26.6606	+5.0082%	+5.0082%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
2275447	3097909387380210359609	22	71.392	680725454686532 2² × 22027 × 7726034579	2020-04-25	22027	7726034579	225.21	40.133	74.953

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-04-27T00:00:00	ANONYMOUS	v4_computers	2048	204800		-		-	-	0.001	-	-	0.229%
2010-11-06T12:26:00	Jocelyn Larouche	Manual testing	15000	15000		-		-	-	0.001	-	-	0.200%
2010-11-14T13:24:00	Jocelyn Larouche	Manual testing	30000	30000		-		-	-	0.003	-	-	0.358%
2011-01-01T12:54:00	markr	tiny	105000	2152500		-		-	-	0.021	-	-	2.452%
2014-09-15T22:12:00	ANONYMOUS	Manual testing	133207	133207		-		-	-	0.013	-	-	0.954%
2016-03-20T01:38:11	Jocelyn Larouche	Manual testing	272160	272160		-		-	-	0.026	-	-	1.386%
2016-04-02T11:41:50	Jocelyn Larouche	Manual testing	326592	326592		-		-	-	0.031	-	-	1.512%
2016-04-05T11:03:08	Jocelyn Larouche	Manual testing	391910	7054380	12	-		-	-	0.072	-	-	3.941%
2016-04-15T01:15:38	Jocelyn Larouche	Manual testing	391910	14202195	12	-		-	-	0.109	-	-	4.530%
2019-10-08T05:17:07	BigBrother	Winston	3000000	90000000	12	-		-	-	0.738	-	-	7.676%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-02-23T16:29:11	Mark Rose	Manual testing	2¹	2⁶⁰		-	-	0.067	-	-
2009-01-14T06:22:00	Sturle Sunde	gnom.ifi	2⁶⁰	2⁶¹		-	-	0.067	-	-
2012-05-06T16:06:00	Sebastian Hornbostel	Manual testing	2⁶¹	2⁶²		-	-	0.135	-	-
2013-12-06T02:47:00	Jerry Hallett	Manual testing	2⁶²	2⁶³		-	-	0.431	-	-
2015-03-10T10:45:00	VictordeHollander	Manual testing	2⁶³	2⁶⁴		-	-	0.863	-	-
2015-03-10T10:45:00	VictordeHollander	Manual testing	2⁶⁴	2⁶⁵		-	-	1.642	-	-
2015-10-31T16:44:12	ramgeis	Manual testing	2⁶⁵	2⁶⁶		-	-	3.284	-	-
2017-01-17T16:29:44	Conductor	Manual testing	2⁶⁶	2⁶⁷		-	-	6.568	-	-
2019-04-29T13:20:28	TJAOI	Manual testing	2⁶⁷	2⁶⁸		-	-	13.14	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.160 GHz-days
Estimated T-Level:	3.000

Digits	B1	Curves	Complete	FacMiss
20	11000	60 / 100	0.600	54.716%
25	50000	60 / 280	0.214	80.681%

New Calculation Method

Total ECM effort:	5.160 GHz-days
Estimated T-Level:	3.000

Digits	B1	Complete	FacMiss
20	11000	1.935	14.435%
25	50000	0.175	83.952%
30	250000	0.011	98.929%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		57	4.902
50000	5000000	3097909387380210359609	3	0.258

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2009-03-01T14:36:00	alan145	Bear4	50000	5000000						3	0.258
2010-01-04T10:35:00	James Hintz	14_091909	50000	5000000						3	0.258
2011-11-06T13:43:00	S36049	Wolle5	50000	5000000						3	0.258
2013-08-27T11:43:00	arnaud	srv-630	50000	5000000						3	0.258
2015-04-07T08:44:00	Bruce	desk16	50000	5000000						3	0.258
2016-02-08T02:59:36	Jason U	Server7	50000	5000000						3	0.258
2016-04-07T11:45:43	Bruce	Desk6	50000	5000000						3	0.258
2016-07-27T01:18:24	Bruce	Desk6	50000	5000000						3	0.258
2016-12-15T23:55:42	Bruce	Desk6	50000	5000000						3	0.258
2017-07-23T09:43:07	Bruce	Desk6	50000	5000000						3	0.258
2017-12-29T04:19:05	Bruce	Desk6	50000	5000000						3	0.258
2018-06-19T15:27:37	Bruce	Desk6	50000	5000000						3	0.258
2019-07-30T13:30:53	Daniel Koszta	_	50000	5000000						3	0.258
2020-02-28T09:31:18	kracker	O0	50000	5000000						3	0.258
2020-03-07T06:39:45	Corey	Computer	50000	5000000						3	0.258
2020-03-13T09:38:34	mnd9	75201b	50000	5000000						3	0.258
2020-03-20T18:00:36	Keysarecool	Boat_Anchor	50000	5000000						3	0.258
2020-04-02T08:47:22	kracker	O0	50000	5000000						3	0.258
2020-04-15T12:44:27	mnd9	221Rb	50000	5000000						3	0.258
2020-04-25T12:06:15	nordi	sweet16	50000	5000000	3097909387380210359609	71.392	3	2	6825164201312613	3	0.258

date	userid	compid	res64	spent (GHz-days)
1999-03-01T00:00:00	ANONYMOUS	v4_computers	9D632B2F8C393492	0.150

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

B1 = 3000000, B2 = 90000000 (P-1 stage 2)

B1 = 3000000 (P-1 stage 1)

B1 = 391910, B2 = 14202195 (P-1 stage 2)

B1 = 391910, B2 = 7054380 (P-1 stage 2)

B1 = 391910 (P-1 stage 1)

B1 = 326592 (P-1 stage 1)

B1 = 272160 (P-1 stage 1)

B1 = 105000, B2 = 2152500 (P-1 stage 2)

B1 = 133207 (P-1 stage 1)

B1 = 105000 (P-1 stage 1)

B1 = 30000 (P-1 stage 1)

B1 = 15000 (P-1 stage 1)

B1 = 2048, B2 = 204800 (P-1 stage 2)

B1 = 2048 (P-1 stage 1)

10²

10³

10⁴

10⁵

10⁶

10⁷

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

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