M15 197 759 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	62.9260	66.6667%	300000	6000000	0.4440	3.1095%	63.3700	67.7032%
Target	2⁶⁹	7.8556	65.2174%	100000	20800000	0.8929	2.9991%	8.7484	66.2606%
Difference	+3	+55.0704	+1.4493%	+200000	-14800000	-0.4489	+0.1105%	+54.6215	+1.4426%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15197759	244723858827121565025097	24	77.696	8051313974222172 2² × 3 × 347 × 879143 × 2199361	2023-04-21	879143	2199361	2,097.7	0.6916	1.3011

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-05-25	ANONYMOUS	v4_computers	225000	225000		-		-	-	0.164	-	-	1.033%
2003-06-01	ANONYMOUS	v4_computers	225000	225000		-		-	-	0.164	-	-	1.033%
2016-09-07	Tha	Manual testing	300000	6000000	12	-		-	-	0.444	-	-	3.110%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2023-04-21	ATH	ec2-P_1	1000000	29000000	2	7	244723858827121565025097	P-1	24	77.696	2.193

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁷		-	-	0.001	-	-
2001-01-08	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-
2001-02-11	korva	v4_computers	2¹	2⁶⁴		-	-	0.234	-	-
2002-12-25	korva	v4_computers	2¹	2⁶⁴		-	-	0.234	-	-
2001-02-18	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.480	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.492	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.983	-	-
2016-10-31	mikr	Manual testing	2⁶⁷	2⁶⁸		-	-	1.967	-	-
2017-10-11	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.934	-	-
2021-07-06	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.867	-	-
2021-09-06	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.73	-	-
2021-10-15	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.47	-	-

ECM factoring results:

Total ECM effort:	0.763 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	0.763

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2016-12-03	Bruce	test	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-07-06	ANONYMOUS	v4_computers	C7304663D9B651BE	7.622
2003-06-01	ANONYMOUS	v4_computers	C7304663D9B651BE	7.622
2003-10-31	rpali	v4_computers	C7304663D9B651BE	7.622

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 = 1000000, B2 = 29000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

B1 = 300000, B2 = 6000000 (P-1 stage 2)

B1 = 300000 (P-1 stage 1)

B1 = 225000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁸

2⁵⁷

this exponent TF target: 69

TF double-checked to: 67.8

ECM T-Level=0.19 ~= -16-bit

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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