M883 Mersenne number exponent details

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is 2 ⁸⁸³ - 1

has 266 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-
Cofactor is a certified prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			-	-	-	-	0.0000	0.0000%
Target	2⁴⁴	0.0027	77.2727%	500	10000	0.0000	0.5811%	0.0027	77.4048%
Difference	-44	-0.0027	-77.2727%	-500	-10000	0.0000	-0.5811%	-0.0027	-77.4048%

Known prime factors (4 factors, 883.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
883	8831	4	13.108	5 5	-	1	5	1.237e-12	2.330e-11	3.894e-11
883	63577	5	15.956	36 2² × 3²	-	9	9	4.982e-12	1.722e-10	3.504e-10
883	258777491057348926546569104663	30	97.708	146533120644025439720594057 146533120644025439720594057	-	1	146533120644025439720594057	5.584e+13	1.527e+14	2.853e+14
883	hide decimal representation P228 click to show decimal representation	228	756.228

4 Composite Factors:

P-1 results:
No P-1 results for M883

Trial Factoring results:
No TF results for M883

ECM factoring results:
No ECM results for M883

Lucas-Lehmer results:
No L-L results for M883

PRP results:
No PRP results for M883

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

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10⁴

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10¹⁵

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10¹⁸

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10²¹

10²²

10²³

10²⁴

10²⁵

10²⁶

10²⁷

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-04-26T21:34:10+00:00