M76097309 Mersenne number exponent details

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M76097309

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is 2 ^76097309 - 1

has 22907573 decimal digits

takes 211.778 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	2⁷⁴	50.2760	63.5135%	690000	12937500	5.4771	4.0895%	55.7530	65.0056%	1.4921%
PrimeNet	2⁷⁰	3.1401	61.4286%	320000	14000000	4.2989	5.5672%	7.4390	63.5759%	2.1474%
GPU72	2⁷⁴	50.2760	63.5135%	500000	18000000	5.8651	4.1904%	56.1411	65.0425%	1.5289%
Difference	-	-	-	+190000	-5062500	-0.3881	-0.1010%	-0.3881	-0.0368%	-0.0368%

Known prime factors (1 factor, 97.0 bits, 0.00012749% 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
76097309	160406892606660651307306068007	30	97.018	1053959034258758422767 3 × 7 × 23 × 1439 × 1777 × 85619 × 9966857	2015-05-14	85619	9966857	665,238,254	2.5179	4.0927

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2015-05-15T01:38:00	Jwb52z	Clay	690000	12937500			160406892606660651307306068007	30	97.018	5.477	423.6	10.95	4.089%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-08-10T00:00:00	ANONYMOUS	v4_computers	2¹	2⁵³		-	-	1.57683e-5	-	-
2003-10-14T00:00:00	markr	v4_computers	2¹	2⁶²		-	-	0.008	-	-
Missing TF 62 - 63
Missing TF 63 - 64
2010-08-20T22:00:00	Geir S. Eidissen	pc2	2⁶⁴	2⁶⁵		-	-	0.049	-	-
2010-08-22T12:47:00	symallad	old_laptop	2⁶⁵	2⁶⁶		-	-	0.098	-	-
2010-08-30T11:39:00	markr	dell2	2⁶⁶	2⁶⁷		-	-	0.196	-	-
2010-11-02T17:42:00	pc-learner		2⁶⁷	2⁶⁸		-	-	0.393	-	-
2010-11-12T01:19:00	pc-learner		2⁶⁸	2⁶⁹		-	-	0.786	-	-
2010-11-14T11:08:00	Aric	w-b	2⁶⁹	2⁷⁰		-	-	1.571	-	-
2013-02-11T03:42:00	Clown_Royal	Manual testing	2⁷⁰	2⁷¹		-	-	3.142	-	-
2015-05-13T12:26:00	Travis Glenn Russo	Manual testing	2⁷¹	2⁷²		-	-	6.285	-	-
2015-05-13T12:26:00	Travis Glenn Russo	Manual testing	2⁷²	2⁷³		-	-	12.57	-	-
2015-05-13T12:26:00	Travis Glenn Russo	Manual testing	2⁷³	2⁷⁴		-	-	25.14	-	-

ECM factoring results:
No ECM results for M76097309

Lucas-Lehmer results:
No L-L results for M76097309

PRP results:
No PRP results for M76097309

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 = 690000, B2 = 12937500 (P-1 stage 2)

B1 = 690000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶²

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-05-15T01:38:00+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