M15525893 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	2⁷⁴	246.4184	67.5676%	1500000	741128430	30.3954	7.1539%	276.8138	69.8877%
Target	2⁶⁹	7.6895	65.2174%	110000	2800000	0.1866	3.1114%	7.8761	66.2996%
Difference	+5	+238.7289	+2.3502%	+1390000	+738328430	+30.2088	+4.0424%	+268.9377	+3.5881%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15525893	3153104015196558910212403239769577245783	40	131.212	101543402856008311734867786341487 3² × 53 × 193 × 2999 × 19553 × 476831 × 513269 × 76855799	2022-04-09	513269	76855799	8.669e+9	3.3980	5.6874

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-05-11	curtisc	v4_computers	235000	235000		-		-	-	0.171	-	-	0.816%
2016-05-09	Tha	Manual testing	300000	6000000	12	-		-	-	0.444	-	-	2.518%
2022-04-09	Sid & Andy	Speck	1500000	741128430			3153104015196558910212403239769577245783	40	131.212	30.40	15.57	60.79	7.154%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-21	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2001-02-11	Net_Force	v4_computers	2¹	2⁵⁹		-	-	0.005	-	-
2001-03-18	dlsilver	v4_computers	2¹	2⁶⁵		-	-	0.470	-	-
2013-10-07	David Campeau	Manual testing	2⁶⁵	2⁶⁶		-	-	0.481	-	-
2013-12-28	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.963	-	-
2018-03-23	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.925	-	-
2018-03-23	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.850	-	-
2021-06-03	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.701	-	-
2021-09-08	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.40	-	-
2021-09-14	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	30.80	-	-
2022-01-21	Anton Repko	Manual testing	2⁷²	2⁷⁴		-	-	184.8	-	-

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
2017-02-21	BloodIce	URM2	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-08-03	curtisc	v4_computers	E28B9C8D47F451BB	7.787
2005-12-12	ANONYMOUS	v4_computers	E28B9C8D47F451BB	7.787

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 = 1500000, B2 = 741128430 (P-1 stage 2)

B1 = 1500000 (P-1 stage 1)

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

B1 = 300000 (P-1 stage 1)

B1 = 235000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁷⁴

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁹

2⁵⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

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