M7 939 049 Mersenne number exponent details

≡

is 2 ^7939049 - 1

has 2389892 decimal digits

takes 1.817 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	3.7428	65.6716%	-	-	-	-	3.7428	65.6716%
Target	2⁶⁷	3.7428	65.6716%	55000	6000000	0.1257	2.5637%	3.8685	66.5517%
Difference	-	-	-	-55000	-6000000	-0.1257	-2.5637%	-0.1257	-0.8801%

Known prime factors (2 factors, 81.4 bits, 0.00102573% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
7939049	2207055623	10	31.039	139 139	-	1	139	3.712e-11	2.826e-6	4.709e-6
7939049	1479504642539983	16	50.394	93178959 3 × 31059653	2014-05-27	3	31059653	3.034e-5	0.5615	1.0486

1 Composite Factors:

P-1 results:
No P-1 results for M7939049

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-05-27	TJAOI	Manual testing	?	?	1479504642539983	50.394	16	1.14461e-5	7.415	4.67196e-5

ECM factoring results:
No ECM results for M7939049

Lucas-Lehmer results:
No L-L results for M7939049

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-06-10

axn

skylake

2207055623

1479504642539983

5590438F9A0E17__

no

2019-12-02

nokno

nLIB-srv

2207055623

1479504642539983

5590438F9A0E1775

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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Last modified: 2023-10-02T12:12:48+00:00