M115 752 653 Mersenne number exponent details

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is 2 ^115752653 - 1

has 34845021 decimal digits

takes 534.552 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	0.2567	59.7015%	-	-	-	-	0.2567	59.7015%
Target	2⁷⁶	132.2129	64.4737%	700000	130000000	51.8594	4.0728%	184.0723	65.9206%
Difference	-9	-131.9562	-4.7722%	-700000	-130000000	-51.8594	-4.0728%	-183.8156	-6.2191%

Known prime factors (1 factor, 33.5 bits, 0.00002891% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
115752653	11806770607	11	33.459	51 3 × 17	2007-09-25	3	17	9.995e-12	2.520e-5	4.088e-5

P-1 results:
No P-1 results for M115752653

Trial Factoring results:
No TF results for M115752653

ECM factoring results:
No ECM results for M115752653

Lucas-Lehmer results:
No L-L results for M115752653

PRP results:
No PRP results for M115752653

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

TF factor-bounds graph:

this exponent TF target: 76

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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