M2 366 850 193 Mersenne number exponent details

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is 2 ^2366850193 - 1

has 712492904 decimal digits

takes 365,218.134 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	0.0252	52.9412%	-	-	-	-	0.0252	52.9412%
Target	2⁹⁰	105,939.7588	64.4444%	12000000	3500000000	45,204.1211	4.1075%	151,143.8799	65.9049%
Difference	-22	-105,939.7336	-11.5033%	-12000000	-3500000000	-45,204.1211	-4.1075%	-151,143.8547	-12.9637%

Known prime factors (1 factor, 52.8 bits, 0.00000223% 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
2366850193	7875249049371217	16	52.806	1663656 2³ × 3 × 103 × 673	2014-11-01	103	673	2.752e-7	0.0300	0.0469

P-1 results:
No P-1 results for M2366850193

Trial Factoring results:
No TF results for M2366850193

ECM factoring results:
No ECM results for M2366850193

Lucas-Lehmer results:
No L-L results for M2366850193

PRP results:
No PRP results for M2366850193

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: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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