M110235161 Mersenne number exponent details

≡

is 2 ^110235161 - 1

has 33184091 decimal digits

takes 483.810 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	Prob over default TF
Actual	2⁶⁷	0.2696	59.7015%	-	-	-	-	0.2696	59.7015%	-2.7985%
PrimeNet	2⁷²	8.6754	62.5000%	450000	24000000	11.0291	5.5088%	19.7045	64.5658%	2.0658%
GPU72	2⁷⁶	138.8304	64.4737%	700000	26000000	13.2268	4.0489%	152.0572	65.9121%	1.4384%
Difference	-9	-138.5609	-4.7722%	-700000	-26000000	-13.2268	-4.0489%	-151.7877	-6.2106%	-6.2106%

Known prime factors (1 factor, 35.6 bits, 0.00003233% 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
110235161	53574288247	11	35.641	243 3⁵	2007-09-21	243	243	4.371e-11	0.0015	0.0031

P-1 results:
Exponent "110235161" not found

Trial Factoring results:
Exponent "110235161" not found

ECM factoring results:
Exponent "110235161" not found

Lucas-Lehmer results:
Exponent "110235161" not found

PRP results:
Exponent "110235161" not found

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:

2⁶⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2007-09-21T22:38:36+00:00