M19998217 Mersenne number exponent details

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is 2 ^19998217 - 1

has 6020064 decimal digits

takes 12.943 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 L-L tests remaining

	Residue	Status
L-L	C29E651C1A18B57B	double-checked
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	2⁶⁸	2.9805	63.2353%	245000	6002500	0.5243	4.7433%	3.5048	64.9792%	3.4407%
PrimeNet	2⁶⁵	0.3648	61.5385%	90000	3200000	0.2435	4.9969%	0.6083	63.4603%	1.9219%
GPU72	2⁶⁹	5.9699	63.7681%	140000	4000000	0.3288	3.6275%	6.2986	65.0824%	1.3143%
Difference	-1	-2.9894	-0.5328%	+105000	+2002500	+0.1956	+1.1159%	-2.7938	-0.1032%	-0.1032%

Known prime factors (1 factor, 67.9 bits, 0.00033948% 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
19998217	273385894511915315791	21	67.890	6835256725935 3 × 5 × 11 × 17 × 179 × 599 × 22727	2013-08-14	599	22727	2.7136	0.0017	0.0022

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2003-10-08T00:00:00	ANONYMOUS	v4_computers	245000	6002500		-		-	-	0.524	-	-	4.743%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-11-10T00:00:00	Net_Force	v4_computers	?	2⁵⁸		-	-	0.002	-	-
2002-03-03T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁰		-	-	0.004	-	-
2002-08-10T00:00:00	Jocelyn Larouche	v4_computers	?	2⁶⁶		-	-	0.374	-	-
2013-08-14T10:35:00	Nesowa	Manual testing	2⁶⁶	2⁶⁷		-	-	0.747	-	-
2013-08-14T10:36:00	Nesowa	Manual testing	2⁶⁷	2⁶⁸	273385894511915315791	67.890	21	1.228	26.39	2.503

ECM factoring results:
Exponent "19998217" not found

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2003-11-08T00:00:00	ANONYMOUS	v4_computers	C29E651C1A18B57B	12.94
2007-12-03T00:00:00	TheJudger	v4_computers	C29E651C1A18B57B	12.94

PRP results:
Exponent "19998217" not found

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 = 245000, B2 = 6002500 (P-1 stage 2)

B1 = 245000 (P-1 stage 1)

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TF factor-bounds graph:

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2¹⁰⁰

Last modified: 2013-08-14T10:36:05+00:00