M7 939 027 Mersenne number exponent details

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is 2 ^7939027 - 1

has 2389886 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, 94.6 bits, 0.00119178% 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
7939027	190536649	9	27.505	12 2² × 3	-	4	4	2.258e-12	1.327e-6	2.701e-6
7939027	159262818540300394201	21	67.110	10030373907300 2² × 3³ × 5² × 2311 × 1607509	2021-09-27	2311	1607509	4.9163	0.0298	0.0543

1 Composite Factors:

P-1 results:
No P-1 results for M7939027

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-09-27	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	159262818540300394201	67.110	21	1.174	3.672	2.372

ECM factoring results:
No ECM results for M7939027

Lucas-Lehmer results:
No L-L results for M7939027

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-06-10

axn

skylake

190536649

38033C07657FD5__

no

2019-11-29

arnaud

stm-11-010

190536649

38033C07657FD565

no

2021-10-04

_p95holder_

TFL16_PRPt11-E_b

190536649

159262818540300394201

38033C07657FD565

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

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁸

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