M2 948 176 093 Mersenne number exponent details

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is 2 ^2948176093 - 1

has 887489437 decimal digits

takes 510,846.577 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	0.0202	52.9412%	-	-	-	-	0.0202	52.9412%
Target	2⁹¹	170,100.7883	64.8352%	15000000	4500000000	65,162.8370	4.1298%	235,263.6252	66.2874%
Difference	-23	-170,100.7680	-11.8940%	-15000000	-4500000000	-65,162.8370	-4.1298%	-235,263.6050	-13.3462%

Known prime factors (1 factor, 42.0 bits, 0.00000142% 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
2948176093	4292544391409	13	41.965	728 2³ × 7 × 13	2012-08-20	8	13	1.722e-10	0.0021	0.0041

P-1 results:
No P-1 results for M2948176093

Trial Factoring results:
No TF results for M2948176093

ECM factoring results:
No ECM results for M2948176093

Lucas-Lehmer results:
No L-L results for M2948176093

PRP results:
No PRP results for M2948176093

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:

2⁶⁸

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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