M10 858 213 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
10858213	929955000254771378145257	24	79.622	42822654163017956 2² × 158017 × 67750074617	2015-08-26	158017	67750074617	22,542	1,748.5	3,265.5

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2000-08-17	ANONYMOUS	v4_computers	125000	1625000		-		-	-	0.098	-	-	3.339%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-11-04	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.328	-	-
2013-12-06	lycorn	Manual testing	2⁶⁴	2⁶⁵		-	-	0.344	-	-
2015-05-18	Tha	Manual testing	2⁶⁵	2⁶⁶		-	-	0.688	-	-

ECM factoring results:

Total ECM effort:	0.497 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	929955000254771378145257	1	0.497

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2015-08-26	Gordon Spence	haswell	50000	5000000	929955000254771378145257	79.622	1	2		1	0.497

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2000-10-15	ANONYMOUS	v4_computers	33147D515F2378C3	3.547
2003-12-31	ANONYMOUS	v4_computers	33147D515F2378C3	3.547
2004-09-02	ANONYMOUS	v4_computers	33147D515F2378C3	3.547

P-1 factor-bounds graph:

B1 = 125000, B2 = 1625000 (P-1 stage 2)

B1 = 125000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

TF factor-bounds graph:

2⁶⁶

2⁶⁵

2⁶⁴

this exponent TF target: 68

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

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰