M13029749 Mersenne number exponent details

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is 2 ^13029749 - 1

has 3922346 decimal digits

takes 5.322 GHz-days to do one PRP test

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

	Residue	Status
L-L	-unknown-	-unknown-
PRP	7E60975F8E5EFA1B	double-checked

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁷⁰	18.3389	65.7143%	-	-	-	-	18.3389	65.7143%	3.2143%
PrimeNet	2⁶⁴	0.2732	62.5000%	60000	1700000	0.0885	4.3386%	0.3616	66.8386%	4.3386%
GPU72	2⁶⁸	4.5745	64.7059%	90000	2400000	0.1278	3.1699%	4.7024	67.8758%	3.1699%
Difference	+2	+13.7643	+1.0084%	-90000	-2400000	-0.1278	-3.1699%	+13.6365	-2.1615%	-2.1615%

Known prime factors (1 factor, 41.3 bits, 0.00031666% known):

Remaining cofactor is not a probable-prime

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
13029749	2633755284367	13	41.260	101067 3 × 59 × 571	59	571	-	4.218e-8	5.147e-5	7.112e-5

P-1 results:
Exponent "13029749" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-11-25T16:14:44	ViliamF	Manual testing	2⁶⁴	2⁶⁵		-	-	0.287	-	-
2020-11-25T16:14:44	ViliamF	Manual testing	2⁶⁵	2⁶⁶		-	-	0.574	-	-
2020-11-25T16:14:44	ViliamF	Manual testing	2⁶⁶	2⁶⁷		-	-	1.147	-	-
2020-11-25T16:14:44	ViliamF	Manual testing	2⁶⁷	2⁶⁸		-	-	2.294	-	-
2020-11-25T16:14:44	ViliamF	Manual testing	2⁶⁸	2⁶⁹		-	-	4.588	-	-
2020-11-25T16:14:44	ViliamF	Manual testing	2⁶⁹	2⁷⁰		-	-	9.176	-	-

ECM factoring results:
Exponent "13029749" not found

Lucas-Lehmer results:
Exponent "13029749" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-11-25T19:32:26

Oliver Kruse

Oliver-PC

2633755284367

7E60975F8E5EFA1B

no

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

10⁰

10¹

10²

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-11-25T19:32:26+00:00