M116499679 Mersenne number exponent details

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M116499679

<<<

is 2 ^116499679 - 1

has 35069898 decimal digits

takes 538.002 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	2⁷⁷	262.7318	64.9351%	532000	18426750	10.0908	3.3350%	272.8226	66.1045%
Target	2⁷⁶	131.3651	64.4737%	700000	26000000	13.9174	4.0759%	145.2826	65.9217%
Difference	+1	+131.3666	+0.4614%	-168000	-7573250	-3.8266	-0.7409%	+127.5400	+0.1828%

Known prime factors (2 factors, 159.9 bits, 0.00013725% 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
116499679	268955457200954384749697	24	77.832	1154318447525312 2⁶ × 113 × 124777 × 1279183	2022-09-28	124777	1279183	349.85	1.2567	1.7004
116499679	5060007794139457960425769	25	82.065	21716831486460396 2² × 3 × 11 × 13 × 733 × 28463 × 606589	2022-09-28	28463	606589	10,329	0.4015	0.4133

exponent	prime factors	composite factor	digits	bits*
116499679	268955457200954384749697 5060007794139457960425769	1360916709713170590578566863745659001678613741993	49	159.897

1 Composite Factors:

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-09-28	Jwb52z	Clay	532000	18426750			268955457200954384749697 5060007794139457960425769	49	159.897	10.09	1,076	20.18	3.335%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-05-10	Donna Noble	HTPC-V64	2⁶³	2⁶⁴		-	-	0.017	-	-
2010-10-09	Mr-Plonk		2⁶⁴	2⁶⁵		-	-	0.032	-	-
2012-07-04	Richard	172.26.176.51	2⁶⁵	2⁶⁶		-	-	0.064	-	-
2014-12-04	poweredge	poweredge	2⁶⁶	2⁶⁷		-	-	0.128	-	-
2015-04-21	bunddog	Manual testing	2⁶⁷	2⁶⁸		-	-	0.257	-	-
2015-08-22	maxa	Manual testing	2⁶⁸	2⁶⁹		-	-	0.513	-	-
2015-09-17	lopper	Manual testing	2⁶⁹	2⁷⁰		-	-	1.026	-	-
2015-09-27	mhsk	Manual testing	2⁷⁰	2⁷¹		-	-	2.053	-	-
2015-10-08	mhsk	Manual testing	2⁷¹	2⁷²		-	-	4.105	-	-
2020-04-25	SRBase	Manual testing	2⁷²	2⁷³		-	-	8.210	-	-
2021-01-31	gcardona	Manual testing	2⁷³	2⁷⁴		-	-	16.42	-	-
2021-06-11	TheJudger	Manual testing	2⁷⁴	2⁷⁵		-	-	32.84	-	-
2021-06-11	TheJudger	Manual testing	2⁷⁵	2⁷⁶		-	-	65.68	-	-
2021-08-11	rushyn	Manual testing	2⁷⁶	2⁷⁷		-	-	131.4	-	-

ECM factoring results:
No ECM results for M116499679

Lucas-Lehmer results:
No L-L results for M116499679

PRP results:
No PRP results for M116499679

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

B1 = 532000, B2 = 18426750 (P-1 stage 2)

B1 = 532000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-09-28T18:34:19+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