M344027939 Mersenne number exponent details

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is 2 ^344027939 - 1

has 103562729 decimal digits

takes 5,423.616 GHz-days to do one PRP test

Last-known PrimeNet details:
-unknown- L-L 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	2⁷²	2.7798	59.7222%	18676	224112	0.6828	1.2294%	3.4626	60.9516%	-1.3861%
PrimeNet	2⁷⁷	88.9700	62.3377%	1300000	80000000	127.7331	5.5092%	216.7031	67.8468%	5.5092%
GPU72	2⁸¹	1,423.5277	64.1975%	2000000	80000000	142.8628	4.0722%	1,566.3905	68.2697%	4.0722%
Difference	-9	-1,420.7479	-4.4753%	-1981324	-79775888	-142.1801	-2.8428%	-1,562.9279	-7.3181%	-7.3181%

Known prime factors (1 factor, 78.7 bits, 0.00002286% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
344027939	477377824518621614621503	24	78.659	693806767418709 3² × 7 × 3257 × 15013 × 225223	15013	225223	2019-04-13	249.93	0.6050	0.6984

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2019-04-13T08:23:22	kwe5ykdf	Manual testing	18676	224112			477377824518621614621503	24	78.659	0.683	10,847	1.366	1.229%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-01-26T18:40:00	For Research	a3_bu2	2⁶⁴	2⁶⁵		-	-	0.011	-	-
2014-02-21T18:11:00	Richard	WEBDM-SOLR	2⁶⁵	2⁶⁶		-	-	0.022	-	-
2016-03-06T21:06:05	bs	work	2⁶⁶	2⁶⁷		-	-	0.043	-	-
2016-04-17T02:35:39	Jacques MOLNE	Manual testing	2⁶⁷	2⁶⁹		-	-	0.261	-	-
2016-06-19T10:35:17	Jacques MOLNE	Manual testing	2⁶⁹	2⁷⁰		-	-	0.348	-	-
2016-06-19T10:35:17	Jacques MOLNE	Manual testing	2⁷⁰	2⁷¹		-	-	0.695	-	-
2016-06-19T10:35:17	Jacques MOLNE	Manual testing	2⁷¹	2⁷²		-	-	1.390	-	-

ECM factoring results:
Exponent "344027939" not found

Lucas-Lehmer results:
Exponent "344027939" not found

PRP results:
Exponent "344027939" 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 = 18676, B2 = 224112 (stage 2)

B1 = 18676 (stage 1)

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-04-13T08:23:22+00:00