M2 248 931 387 Mersenne number exponent details

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is 2 ^2248931387 - 1

has 676995806 decimal digits

takes 347,022.607 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	0.0265	52.9412%	-	-	-	-	0.0265	52.9412%
Target	2⁸⁹	55,747.2629	64.0449%	12000000	3250000000	42,156.5864	4.3699%	97,903.8493	65.6161%
Difference	-21	-55,747.2364	-11.1038%	-12000000	-3250000000	-42,156.5864	-4.3699%	-97,903.8228	-12.6750%

Known prime factors (1 factor, 60.5 bits, 0.00000269% 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
2248931387	1588139769906964457	19	60.462	353087644 2² × 7 × 13² × 29 × 31 × 83	2014-10-04	169	169	0.0001	0.0378	0.0770

P-1 results:
No P-1 results for M2248931387

Trial Factoring results:
No TF results for M2248931387

ECM factoring results:
No ECM results for M2248931387

Lucas-Lehmer results:
No L-L results for M2248931387

PRP results:
No PRP results for M2248931387

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

10¹

10²

10³

10¹

10²

10³

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 89

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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