M2 988 788 441 Mersenne number exponent details

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is 2 ^2988788441 - 1

has 899714972 decimal digits

takes 575,134.220 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	0.0199	52.9412%	-	-	-	-	0.0199	52.9412%
Target	2⁹¹	167,789.4194	64.8352%	15000000	4500000000	72,366.3969	4.1353%	240,155.8163	66.2894%
Difference	-23	-167,789.3995	-11.8940%	-15000000	-4500000000	-72,366.3969	-4.1353%	-240,155.7964	-13.3482%

Known prime factors (1 factor, 39.1 bits, 0.00000131% 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
2988788441	591780111319	12	39.106	99 3² × 11	2012-08-20	9	11	3.028e-11	0.0025	0.0051

P-1 results:
No P-1 results for M2988788441

Trial Factoring results:
No TF results for M2988788441

ECM factoring results:
No ECM results for M2988788441

Lucas-Lehmer results:
No L-L results for M2988788441

PRP results:
No PRP results for M2988788441

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