M1 264 848 419 Mersenne number exponent details

≡

is 2 ^1264848419 - 1

has 380757315 decimal digits

takes 91,057.375 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	0.0471	54.4118%	-	-	-	-	0.0471	54.4118%
Target	2⁸⁶	12,389.9993	63.9535%	7000000	1800000000	10,927.9785	4.5198%	23,317.9777	65.5827%
Difference	-18	-12,389.9522	-9.5417%	-7000000	-1800000000	-10,927.9785	-4.5198%	-23,317.9306	-11.1710%

Known prime factors (1 factor, 33.2 bits, 0.00000263% 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
1264848419	10118787353	11	33.236	4 2²	2012-08-20	4	4	9.133e-13	0.0004	0.0008

P-1 results:
No P-1 results for M1264848419

Trial Factoring results:
No TF results for M1264848419

ECM factoring results:
No ECM results for M1264848419

Lucas-Lehmer results:
No L-L results for M1264848419

PRP results:
No PRP results for M1264848419

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

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