M3 882 750 349 Mersenne number exponent details

≡

is 2 ^3882750349 - 1

has 1168824321 decimal digits

takes 974,102.970 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	0.0154	52.9412%	-	-	-	-	0.0154	52.9412%
Target	2⁹²	258,315.3859	65.2174%	19000000	5500000000	115,542.3625	4.1469%	373,857.7485	66.6598%
Difference	-24	-258,315.3706	-12.2762%	-19000000	-5500000000	-115,542.3625	-4.1469%	-373,857.7331	-13.7186%

Known prime factors (1 factor, 52.5 bits, 0.00000135% 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
3882750349	6463940657009617	16	52.521	832392 2³ × 3² × 11 × 1051	2015-02-04	11	1051	2.914e-7	0.0246	0.0391

P-1 results:
No P-1 results for M3882750349

Trial Factoring results:
No TF results for M3882750349

ECM factoring results:
No ECM results for M3882750349

Lucas-Lehmer results:
No L-L results for M3882750349

PRP results:
No PRP results for M3882750349

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

10²

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

JSON version of this page

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