M15 139 591 Mersenne number exponent details

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	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15139591	895133127988042299852961	24	79.566	29562658858751280 2⁴ × 3 × 5 × 167 × 844439 × 873469	2022-10-26	844439	873469	13,128	0.6152	1.2498

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-31	ANONYMOUS	v4_computers	170000	2465000		-		-	-	0.215	-	-	2.308%

P+1 Factoring results:

date	userid	compid	b1	b2	start		factor	Smooth	digits	bits*	ghz-days
2021-08-09	ATH	ec2-P_1	200000	7600000	2	7			-	-	0.486
2022-10-26	ATH	ec2-P_1	1000000	1000000	6	5	895133127988042299852961	P-1	24	79.566	1.056

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	-	-
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-
2001-02-18	ANONYMOUS	v4_computers	2¹	2⁶⁵		-	-	0.482	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.494	-	-
2014-05-14	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.987	-	-
2017-12-24	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	1.974	-	-
2017-12-24	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	3.949	-	-
2021-06-30	lycorn	Manual testing	2⁶⁹	2⁷⁰		-	-	7.897	-	-
2021-09-02	SRBase	Manual testing	2⁷⁰	2⁷¹		-	-	15.79	-	-
2021-10-15	-Anonymous-	Manual testing	2⁷¹	2⁷²		-	-	31.59	-	-

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
2016-11-26	Xolotl	thunder-gpu-17	50000	5000000						1	0.763

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2002-11-02	BranMuffin	v4_computers	9FE4011A2329C3__	7.593
2005-09-22	TheJudger	v4_computers	9FE4011A2329C3__	7.593

P-1 factor-bounds graph:

B1 = 1000000 (P-1 stage 1)

B1 = 170000, B2 = 2465000 (P-1 stage 2)

B1 = 170000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁸

2⁵⁷

this exponent TF target: 69

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

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰