M1 160 036 561 Mersenne number exponent details

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is 2 ^1160036561 - 1

has 349205801 decimal digits

takes 73,361.571 GHz-days to do one PRP test

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	2⁶⁸	0.0514	54.4118%	-	-	-	-	0.0514	54.4118%
Target	2⁸⁶	13,509.4630	63.9535%	6500000	1600000000	8,557.1995	4.3630%	22,066.6625	65.5262%
Difference	-18	-13,509.4116	-9.5417%	-6500000	-1600000000	-8,557.1995	-4.3630%	-22,066.6111	-11.1144%

Known prime factors (1 factor, 43.8 bits, 0.00000377% 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
1160036561	14894869443241	14	43.760	6420 2² × 3 × 5 × 107	2012-08-20	5	107	1.299e-9	0.0010	0.0010

P-1 results:
No P-1 results for M1160036561

Trial Factoring results:
No TF results for M1160036561

ECM factoring results:
No ECM results for M1160036561

Lucas-Lehmer results:
No L-L results for M1160036561

PRP results:
No PRP results for M1160036561

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

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 86

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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