M110 749 127 Mersenne number exponent details

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is 2 ^110749127 - 1

has 33338810 decimal digits

takes 486.066 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

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	2⁶⁷	0.2683	59.7015%	-	-	-	-	0.2683	59.7015%
Target	2⁷⁶	138.1861	64.4737%	700000	26000000	13.2268	4.0512%	151.4129	65.9129%
Difference	-9	-137.9178	-4.7722%	-700000	-26000000	-13.2268	-4.0512%	-151.1446	-6.2114%

Known prime factors (1 factor, 59.6 bits, 0.00005385% 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
110749127	899413233946207727	18	59.642	4060588369 14347 × 283027	2009-01-01	14347	283027	0.0009	0.1845	0.1858

P-1 results:
No P-1 results for M110749127

Trial Factoring results:
No TF results for M110749127

ECM factoring results:
No ECM results for M110749127

Lucas-Lehmer results:
No L-L results for M110749127

PRP results:
No PRP results for M110749127

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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

this exponent TF target: 76

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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