M332 222 291 Mersenne number exponent details

Residue

Status

L-L

-unknown-

-unknown-

PRP

5C29B685E5D22B94

PRP-tested

	Trial Factoring	P-1 Factoring	Combined
Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁸¹	1,474.1133	64.1975%	2832000	267669090	372.2994	5.1427%	1,846.4127	66.0387%
Target	2⁸¹	1,474.1133	64.1975%	1900000	640000000	790.8279	4.0317%	2,264.9412	65.6410%
Difference	-	-	-	+932000	-372330910	-418.5285	+1.1110%	-418.5285	+0.3978%

Trial Factoring

P-1 Factoring

Combined

Limit

GHz-days

Probability

GHz-days

Probability

GHz-days

Probability

Actual

2⁸¹

1,474.1133

64.1975%

2832000

267669090

372.2994

5.1427%

1,846.4127

66.0387%

Target

2⁸¹

1,474.1133

64.1975%

1900000

640000000

790.8279

4.0317%

2,264.9412

65.6410%

Difference

+932000

-372330910

-418.5285

+1.1110%

-418.5285

+0.3978%

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-11-08	Klaus Nordmann	no1	3910000	3910000		-		-	-	84.33	-	-	2.021%
2022-11-07	James Heinrich	3930K	2832000	267669090		-		-	-	372.3	-	-	5.143%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-12-15	Team_Inspector	thumbelina	2⁶⁸	2⁶⁹		-	-	0.180	-	-
2009-03-01	Team_Inspector	spudboy2	2⁶⁹	2⁷⁰		-	-	0.360	-	-
2010-01-18	Team_Inspector	Bush	2⁷⁰	2⁷¹		-	-	0.720	-	-
2010-01-20	Team_Inspector	Bush	2⁷¹	2⁷²		-	-	1.440	-	-
2010-08-31	Team_Inspector	Bush	2⁷²	2⁷³		-	-	2.879	-	-
2010-09-06	Team_Inspector	Bush	2⁷³	2⁷⁴		-	-	5.758	-	-
2010-11-21	Michael Peick	purple	2⁷⁴	2⁷⁵		-	-	11.52	-	-
2011-02-14	Sebastian Hornbostel	Manual testing	2⁷⁵	2⁷⁶		-	-	23.03	-	-
2015-10-23	NR	Manual testing	2⁷⁶	2⁷⁷		-	-	46.07	-	-
2015-10-23	NR	Manual testing	2⁷⁷	2⁷⁸		-	-	92.13	-	-
2015-10-23	NR	Manual testing	2⁷⁸	2⁷⁹		-	-	184.3	-	-
2022-11-09	James Heinrich	Manual testing	2⁷⁹	2⁸⁰		-	-	368.5	-	-
2023-03-11	Mark Rose	Manual testing	2⁸⁰	2⁸¹		-	-	737.1	-	-

date	userid	compid	cofactors	res64	PRP
2023-01-10	FlaJunkie	AMD-Ryzen_5900X		5C29B685E5D22B94	no

date

userid

compid

cofactors

res64

PRP

2023-01-10

FlaJunkie

AMD-Ryzen_5900X

5C29B685E5D22B94

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 = 2832000, B2 = 267669090 (P-1 stage 2)

B1 = 3910000 (P-1 stage 1)

B1 = 2832000 (P-1 stage 1)

10⁵

10⁶

10⁷

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁸¹

2⁸⁰

2⁷⁹

2⁷⁸

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

this exponent TF target: 81

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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