M113790793 Mersenne number exponent details

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M113790793

<<<

is 2 ^113790793 - 1

has 34254442 decimal digits

takes 499.415 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	0.5238	60.2941%	-	-	-	-	0.5238	60.2941%	0.0000%
PrimeNet	2⁷²	8.4043	62.5000%	450000	24000000	11.0291	5.5295%	19.4334	64.5736%	2.0736%
GPU72	2⁷⁶	134.4924	64.4737%	700000	26000000	13.2268	4.0644%	147.7192	65.9176%	1.4439%
Difference	-8	-133.9686	-4.1796%	-700000	-26000000	-13.2268	-4.0644%	-147.1954	-5.6235%	-5.6235%

Known prime factors (2 factors, 131.7 bits, 0.00011574% 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
113790793	22078441163208067697	20	64.259	97013302136 2³ × 12126662767	2010-09-30	8	12126662767	0.0394	4,204.6	7,853.0
113790793	200830114204918129193	21	67.445	882453267572 2² × 289637 × 761689	2022-08-05	289637	761689	0.4642	2.0069	3.7513

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
113790793	22078441163208067697 200830114204918129193	4434015860273641699970547472673735978521	40	131.704

P-1 results:
No P-1 results for M113790793

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-09-30T17:20:00	Donna Noble	PH2-940-v3-MVB	?	?	22078441163208067697	64.259	20	0.008	1,026	0.017
2010-05-19T02:36:00	1997rj7	compw	2⁶³	2⁶⁴		-	-	0.017	-	-
2022-08-10T19:29:29	LordJulius	Manual testing	2¹	2⁶⁷	22078441163208067697	64.259	20	0.039	1,026	0.081
2022-08-05T09:30:57	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	200830114204918129193	67.445	21	0.203	1,026	0.417
2022-08-10T19:29:29	LordJulius	Manual testing	2⁶⁷	2⁶⁸	200830114204918129193	67.445	21	0.203	1,026	0.417

ECM factoring results:
No ECM results for M113790793

Lucas-Lehmer results:
No L-L results for M113790793

PRP results:
No PRP results for M113790793

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

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

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