M29 834 263 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	256.4806	66.6667%	1750000	1013168520	85.8745	7.4641%	342.3551	69.1547%
Target	2⁷¹	16.0245	64.7887%	200000	30000000	2.7544	3.5572%	18.7788	66.0413%
Difference	+4	+240.4561	+1.8779%	+1550000	+983168520	+83.1202	+3.9069%	+323.5763	+3.1134%

	P-1	GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
29834263	2329766248595294012521271683681741686943	40	130.775	39045144983056796350579729147017 3 × 37 × 103 × 419 × 1429 × 1709 × 4271 × 1716313 × 455294557	2022-01-03	1716313	455294557	5.028e+9	39.918	69.978

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	ANONYMOUS	v4_computers	315000	3465000		-		-	-	0.735	-	-	2.187%
2022-01-02	Oliver Kruse	Manual testing	1750000	1013168520			2329766248595294012521271683681741686943	40	130.775	85.87	62.15	171.7	7.464%

date	userid	compid	b1	b2	start	factor	Smooth	digits	bits*	ghz-days
2021-12-10	Oliver Kruse	IOS-5	100000	5000000	2	7			-	-	0.596

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-09-16	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2002-03-16	Jocelyn Larouche	v4_computers	2¹	2⁵⁷		-	-	0.001	-	-
2005-03-20	1997rj7	v4_computers	2¹	2⁶²		-	-	0.021	-	-
2005-05-28	ANONYMOUS	v4_computers	2¹	2⁶⁸		-	-	1.998	-	-
2012-02-14	Xyzzy	Manual testing	2⁶⁸	2⁶⁹		-	-	2.004	-	-
2012-02-23	bcp19	Manual testing	2⁶⁹	2⁷⁰		-	-	4.008	-	-
2018-08-22	monst	Manual testing	2⁷⁰	2⁷¹		-	-	8.015	-	-
2021-04-01	Sid & Andy	Manual testing	2⁷¹	2⁷²		-	-	16.03	-	-
2021-07-15	Sid & Andy	Manual testing	2⁷²	2⁷³		-	-	32.06	-	-
2021-09-10	TheJudger	Manual testing	2⁷³	2⁷⁴		-	-	64.12	-	-
2021-10-04	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	128.2	-	-

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-06-19	ANONYMOUS	v4_computers	972B9F3E10812ABC	31.08
2012-07-03	jingfired	Lor	972B9F3E10812ABC	31.08

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 = 1750000, B2 = 1013168520 (P-1 stage 2)

B1 = 1750000 (P-1 stage 1)

B1 = 315000, B2 = 3465000 (P-1 stage 2)

B1 = 315000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶²

2⁵⁷

2⁵⁶

this exponent TF target: 71

TF double-checked to: 67.9

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