M137 Mersenne number exponent details

≡

is 2 ¹³⁷ - 1

has 42 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

factored, 0 PRP tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	154D439625EA70BA	PRP-tested
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0171	81.8182%	500	50000	0.0000	0.3066%	0.0171	81.8739%
Difference	-44	-0.0171	-81.8182%	-500	-50000	0.0000	-0.3066%	-0.0171	-81.8739%

Known prime factors (2 factor, 137.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
137	32032215596496435569	20	64.796	116905896337578232 2³ × 8779 × 59497 × 27977333	-	59497	27977333	36,205	2.330e-5	4.197e-5
137	hide decimal representation P22 5439042183600204290159	22	72.204

P-1 results:
No P-1 results for M137

Trial Factoring results:
No TF results for M137

ECM factoring results:
No ECM results for M137

Lucas-Lehmer results:
No L-L results for M137

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24

Luke_Richards

work-laptop

154D439625EA70BA

no

2018-01-24

-p95holder- @bopoh13

Lucius_Yorkfield

32032215596496435569

PRP

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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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