M14240497 Mersenne number exponent details

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	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷²	67.1559	66.6667%	2000000	967433610	37.9133	8.9016%	105.0692	69.6339%
Target	2⁶⁹	8.3836	65.2174%	100000	2400000	0.1565	2.9178%	8.5401	66.2323%
Difference	+3	+58.7723	+1.4493%	+1900000	+965033610	+37.7568	+5.9838%	+96.5291	+3.4016%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
14240497	36696046789554438902904645723505229551	38	124.787	1288439820237820312834048057575 3 × 5² × 17² × 227 × 233 × 10891 × 51413 × 508661 × 3945973	2022-03-06	508661	3945973	9.791e+9	0.4832	0.7188

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2001-12-22	ANONYMOUS	v4_computers	160000	2080000		-		-	-	0.184	-	-	2.169%
2022-03-06	Architects Cubed	burrow	2000000	967433610			36696046789554438902904645723505229551	38	124.787	37.91	13.64	75.83	8.902%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-17	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.001	-	-
2000-11-25	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.512	-	-
2014-08-01	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.525	-	-
2015-08-30	Tha	Manual testing	2⁶⁶	2⁶⁷		-	-	1.050	-	-
2018-02-05	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	2.099	-	-
2018-02-05	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	4.198	-	-
2021-08-09	SRBase	Manual testing	2⁶⁹	2⁷⁰		-	-	8.396	-	-
2021-09-01	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	16.79	-	-
2021-10-15	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	33.58	-	-

ECM factoring results:

Total ECM effort:	0.728 GHz-days
Estimated T-Level:	0.192

Digits	B1	Complete	FacMiss
20	11000	0.038	96.227%
25	50000	0.004	99.645%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.728

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-09-29	Xolotl	thunder-gpu-17	50000	5000000						1	0.728

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-01-15	ANONYMOUS	v4_computers	98506C33EFA36F__	6.820
2002-11-09	ANONYMOUS	v4_computers	B8F3A19AEE1EE708	6.820
2003-04-03	ANONYMOUS	v4_computers	B8F3A19AEE1EE708	6.820
2005-04-26	ANONYMOUS	v4_computers	B8F3A19AEE1EE708	6.820

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 = 2000000, B2 = 967433610 (P-1 stage 2)

B1 = 2000000 (P-1 stage 1)

B1 = 160000, B2 = 2080000 (P-1 stage 2)

B1 = 160000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

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