M14006803 Mersenne number exponent details

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is 2 ^14006803 - 1

has 4216468 decimal digits

takes 6.215 GHz-days to do one PRP test

Last-known PrimeNet details:
0 L-L tests remaining

	Residue	Status
L-L	98C6A3EB1FA9021F	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	2⁷¹	34.1319	66.1972%	155000	1860000	0.1595	2.3484%	34.2913	68.5455%	5.4686%
PrimeNet	2⁶⁵	0.5209	63.0769%	60000	1900000	0.1031	4.0022%	0.6240	67.0791%	4.0022%
GPU72	2⁶⁹	8.5235	65.2174%	90000	2400000	0.1389	2.8533%	8.6624	68.0707%	2.8533%
Difference	+2	+25.6084	+0.9798%	+65000	-540000	+0.0206	-0.5049%	+25.6290	+0.4749%	+0.4749%

Known prime factors (1 factor, 83.6 bits, 0.00059697% 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
14006803	14830679176132537433148793	26	83.617	529409858057278932 2² × 3 × 424849 × 103842749239	424849	103842749239	2020-05-17	194,708	3,640.0	6,798.1

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-04-20T00:00:00	For Research	v4_computers	155000	1860000		-		-	-	0.159	-	-	2.348%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-24T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁴		-	-	0.140	-	-
2002-01-28T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁴		-	-	0.140	-	-
2000-08-24T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁵		-	-	0.267	-	-
2014-07-22T14:07:00	Nesowa	Manual testing	2⁶⁵	2⁶⁶		-	-	0.534	-	-
2015-08-18T06:23:00	Tha	Manual testing	2⁶⁶	2⁶⁷		-	-	1.067	-	-
2018-02-09T13:34:20	ramgeis	Manual testing	2⁶⁷	2⁶⁸		-	-	2.134	-	-
2018-02-09T13:34:21	ramgeis	Manual testing	2⁶⁸	2⁶⁹		-	-	4.268	-	-
2018-09-10T16:58:36	mikr	Manual testing	2⁶⁹	2⁷⁰		-	-	8.536	-	-
2020-04-27T20:48:57	masser	Manual testing	2⁷⁰	2⁷¹		-	-	17.07	-	-

ECM factoring results:

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000		1	0.675
50000	5000000	14830679176132537433148793	1	0.675

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-06-12T00:00:00	For Research	v4_computers	98C6A3EB1FA9021F	6.215
2005-08-01T00:00:00	ANONYMOUS	v4_computers	98C6A3EB1FA9021F	6.215

PRP results:
Exponent "14006803" 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 = 155000, B2 = 1860000 (stage 2)

B1 = 155000 (stage 1)

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TF factor-bounds graph:

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Last modified: 2020-05-18T03:41:34+00:00