M115609093 Mersenne number exponent details

≡

M115609093

<<<

is 2 ^115609093 - 1

has 34801805 decimal digits

takes 533.889 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- 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	Prob over default TF
Actual	2⁶⁸	0.5156	60.2941%	-	-	-	-	0.5156	60.2941%	0.0000%
PrimeNet	2⁷²	8.2721	62.5000%	500000	24000000	11.9215	5.6106%	20.1936	64.6040%	2.1040%
GPU72	2⁷⁶	132.3771	64.4737%	700000	26000000	13.9174	4.0722%	146.2945	65.9204%	1.4467%
Difference	-8	-131.8615	-4.1796%	-700000	-26000000	-13.9174	-4.0722%	-145.7789	-5.6263%	-5.6263%

Known prime factors (2 factors, 131.5 bits, 0.00011377% 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
115609093	20159415947362398767	20	64.128	87187847531 53 × 1645053727	2010-10-07	53	1645053727	0.0460	600.16	1,120.9
115609093	195255277741234697153	21	67.404	844463323232 2⁵ × 97 × 1433 × 189851	2022-07-08	1433	189851	0.2823	0.0783	0.1294

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
115609093	20159415947362398767 195255277741234697153	3936232359903321165159569698196865610351	40	131.532

P-1 results:
No P-1 results for M115609093

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-10-07T04:00:00	Dubai_College	DL_C8	?	?	20159415947362398767	64.128	20	0.015	1,096	0.031
2010-05-08T17:10:00	Donna Noble	Phenom9550	2⁶³	2⁶⁴		-	-	0.017	-	-
2022-08-10T19:29:29	LordJulius	Manual testing	2¹	2⁶⁷	20159415947362398767	64.128	20	0.046	1,096	0.094
2022-07-08T08:27:37	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	195255277741234697153	67.404	21	0.025	1,096	0.052
2022-08-10T19:29:29	LordJulius	Manual testing	2⁶⁷	2⁶⁸	195255277741234697153	67.404	21	0.025	1,096	0.052

ECM factoring results:
No ECM results for M115609093

Lucas-Lehmer results:
No L-L results for M115609093

PRP results:
No PRP results for M115609093

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

10³

10⁴

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:29+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront