M29726369 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	2⁷⁵	257.4115	66.6667%	1030000	51495000	5.7086	4.5232%	263.1201	68.1744%
Target	2⁷¹	16.0826	64.7887%	200000	6000000	0.7794	3.5554%	16.8620	66.0406%
Difference	+4	+241.3288	+1.8779%	+830000	+45495000	+4.9292	+0.9678%	+246.2580	+2.1338%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
29726369	7966538435500494141983949404255477468125638593	46	152.481	133997839350989926519178131110723234784 2⁵ × 7 × 1619 × 67943 × 69539 × 118669 × 402487 × 553073 × 2960453	2021-10-16	553073	2960453	4.685e+9	1.0335	1.7001

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-05-28	curtisc	v4_computers	425000	425000		-		-	-	0.642	-	-	1.090%
2021-10-16	Architects Cubed	usbenv	1030000	51495000			7966538435500494141983949404255477468125638593	46	152.481	5.709	61.93	11.42	4.523%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-01-14	Jocelyn Larouche	v4_computers	2¹	2⁵²		-	-	2.01828e-5	-	-
2001-09-16	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2005-05-12	ANONYMOUS	v4_computers	2¹	2⁶⁸		-	-	2.005	-	-
2012-02-07	Xyzzy	Manual testing	2⁶⁸	2⁶⁹		-	-	2.011	-	-
2012-02-25	Jerry Hallett	Manual testing	2⁶⁹	2⁷⁰		-	-	4.022	-	-
2018-06-20	monst	Manual testing	2⁷⁰	2⁷¹		-	-	8.044	-	-
2021-08-22	TheJudger	Manual testing	2⁷¹	2⁷²		-	-	16.09	-	-
2021-08-25	TheJudger	Manual testing	2⁷²	2⁷³		-	-	32.18	-	-
2021-09-10	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	64.35	-	-
2021-10-04	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	128.7	-	-

ECM factoring results:

Total ECM effort:	14.256 GHz-days
Estimated T-Level:	1.731

Digits	B1	Complete	FacMiss
20	11000	0.346	70.740%
25	50000	0.032	96.848%
30	250000	0.002	99.798%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		9	14.26

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2023-01-12	This -Anonymous-	Manual testing	50000	5000000						9	14.26

date	userid	compid	res64	spent (GHz-days)
2005-06-19	curtisc	v4_computers	CC7F9ACDCAF581D8	30.96
2013-06-05	markr	thebox	CC7F9ACDCAF581D8	30.96

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 = 1030000, B2 = 51495000 (P-1 stage 2)

B1 = 1030000 (P-1 stage 1)

B1 = 425000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁵⁶

2⁵²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

2¹¹⁰

2¹²⁰

2¹³⁰

2¹⁴⁰

2¹⁵⁰

2¹⁶⁰

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