M697646431 Mersenne number exponent details

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M697646431

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is 2 ^697646431 - 1

has 210012503 decimal digits

takes 22,616.987 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	2⁷²	1.3708	58.3333%	-	-	-	-	1.3708	58.3333%	0.0000%
PrimeNet	2⁸⁰	350.9895	62.5000%	2600000	180000000	576.5586	5.6317%	927.5481	64.6119%	2.1119%
GPU72	2⁸⁴	5,615.8355	64.2857%	4000000	180000000	638.7836	4.2186%	6,254.6191	65.7924%	1.5066%
Difference	-12	-5,614.4647	-5.9524%	-4000000	-180000000	-638.7836	-4.2186%	-6,253.2483	-7.4590%	-7.4590%

Known prime factors (1 factor, 72.1 bits, 0.00001033% 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
697646431	4972019310771400809049	22	72.074	3563423454804 2² × 3 × 296951954567	2021-04-30	4	296951954567	1.5026	760,524	1,420,446

P-1 results:
No P-1 results for M697646431

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-03-17T00:00:00	linded	v4_computers	2⁶¹	2⁶²		-	-	0.000	-	-
2010-06-27T00:20:00	Architects Cubed	m1_31	2⁶³	2⁶⁴		-	-	0.003	-	-
2012-01-25T11:34:00	lalera	Manual testing	2⁶⁴	2⁶⁵		-	-	0.005	-	-
2013-11-11T09:49:00	sasaki	Manual testing	2⁶⁵	2⁶⁶		-	-	0.011	-	-
2014-09-15T13:26:00	sasaki	Manual testing	2⁶⁶	2⁶⁸		-	-	0.064	-	-
2022-08-10T19:29:54	LordJulius	Manual testing	2¹	2⁶⁸		-	-	0.085	-	-
2017-06-15T20:07:57	Conductor	Manual testing	2⁶⁸	2⁶⁹		-	-	0.086	-	-
2018-09-20T22:08:08	srow7	Manual testing	2⁶⁹	2⁷⁰		-	-	0.171	-	-
2018-11-29T16:42:17	Niels_Mache_Nextcloud	Manual testing	2⁷⁰	2⁷¹		-	-	0.343	-	-
2020-09-28T17:49:30	SRBase	Manual testing	2⁷¹	2⁷²		-	-	0.686	-	-
2021-04-30T07:08:03	SRBase	Manual testing	2⁷²	2⁷³*	4972019310771400809049	72.074	22	0.132	46,346	0.270

ECM factoring results:
No ECM results for M697646431

Lucas-Lehmer results:
No L-L results for M697646431

PRP results:
No PRP results for M697646431

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

10¹¹

10¹²

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁶

2⁶⁵

2⁶⁴

2⁶²

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:54+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