M68297821 Mersenne number exponent details

≡

M68297821

<<<

>>>

is 2 ^68297821 - 1

has 20559693 decimal digits

takes 182.602 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁴	56.0174	63.5135%	-	-	-	-	56.0174	63.5135%	0.0000%
PrimeNet	2⁷⁰	3.4987	61.4286%	300000	13000000	3.8455	5.3790%	7.3441	63.5033%	2.0747%
GPU72	2⁷⁴	56.0174	63.5135%	450000	15000000	4.8177	3.9378%	60.8351	64.9503%	1.4368%
Difference	-	-	-	-450000	-15000000	-4.8177	-3.9378%	-4.8177	-1.4368%	-1.4368%

Known prime factors (1 factor, 79.8 bits, 0.00011686% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
68297821	1060840401789825146321719	25	79.811	7766282922773079 3 × 5903 × 250403 × 1751377	2013-11-03	250403	1751377	3,321.0	1.2878	1.9756

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2013-11-03T18:33:00	Jwb52z	Clay					1060840401789825146321719	25	79.811	-	365.2	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-11-24T00:30:00	1997rj7	Manual testing	2¹	2⁶⁴		-	-	0.052	-	-
2010-01-14T20:20:00	Yih-Dar Shieh	grothendieck	2⁶⁴	2⁶⁵		-	-	0.055	-	-
2010-01-17T01:30:00	Sturle Sunde	kiwavi.ifi	2⁶⁵	2⁶⁶		-	-	0.109	-	-
2010-07-02T19:21:00	GrunwalderGIMP	compute-0-2	2⁶⁶	2⁶⁷		-	-	0.219	-	-
2010-07-03T20:41:00	GrunwalderGIMP	compute-0-2	2⁶⁷	2⁶⁸		-	-	0.438	-	-
2010-07-13T19:58:00	ANONYMOUS		2⁶⁸	2⁶⁹		-	-	0.875	-	-
2012-03-09T17:04:00	Andrew	work_comp	2⁶⁹	2⁷⁰		-	-	1.751	-	-
2012-08-07T15:24:00	Alex_Wu_Malaysia	Manual testing	2⁷⁰	2⁷¹		-	-	3.501	-	-
2012-08-07T15:24:00	Alex_Wu_Malaysia	Manual testing	2⁷¹	2⁷²		-	-	7.002	-	-
2013-10-13T22:41:00	Jerry Hallett	Manual testing	2⁷²	2⁷³		-	-	14.00	-	-
2013-10-28T23:11:00	Jerry Hallett	Manual testing	2⁷³	2⁷⁴		-	-	28.01	-	-

ECM factoring results:
No ECM results for M68297821

Lucas-Lehmer results:
No L-L results for M68297821

PRP results:
No PRP results for M68297821

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

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2013-11-03T18:33:34+00:00

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