M3321928171 Mersenne number exponent details

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is 2 ^3321928171 - 1

has 1000000023 decimal digits

takes 703,410.601 GHz-days to do one PRP test

Part of Operation Billion Digit (OBD)

-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	2⁹²	301,925.2986	65.2174%	-	-	-	-	301,925.2986	65.2174%	0.0000%
PrimeNet	2⁸⁷	9,435.1655	63.2184%	11000000	1000000000	19,921.4340	5.6012%	29,356.5995	65.2786%	2.0602%
GPU72	2⁹¹	150,962.6493	64.8352%	17000000	1000000000	21,663.2704	4.2997%	172,625.9197	66.3471%	1.5120%
Difference	+1	+150,962.6493	+0.3822%	-17000000	-1000000000	-21,663.2704	-4.2997%	+129,299.3789	-1.1298%	-1.1298%

Known prime factors:
No known factors for M3321928171

P-1 results:
No P-1 results for M3321928171

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-10-19T09:15:53	Caleb B	Manual testing	2⁶⁴	2⁶⁵		-	-	0.001	-	-
2021-09-29T04:45:44	Caleb B	Manual testing	2⁶⁵	2⁷²		-	-	0.286	-	-
2021-09-29T04:45:44	Caleb B	Manual testing	2⁷²	2⁷³		-	-	0.288	-	-
2021-09-29T04:45:44	Caleb B	Manual testing	2⁷³	2⁷⁴		-	-	0.576	-	-
2012-11-15T16:43:15	Never Odd Or Even		2⁷⁴	2⁷⁵		-	-	1.152	-	-
2008-04-21T04:00:00	Andres Aitsen		2⁷⁵	2⁷⁶		-	-	2.304	-	-
2009-06-09T04:00:00	Andres Aitsen		2⁷⁶	2⁷⁷		-	-	4.607	-	-
2022-03-01T14:22:37	Kriesel	dodo-rtx2080super	2⁷⁷	2⁷⁸		-	-	9.214	-	-
2022-03-02T12:27:16	firejuggler	GTX1660	2⁷⁷	2⁷⁸		-	-	9.214	-	-
2010-06-04T03:48:00	Luigi Morelli	OBD	2⁷⁸	2⁷⁹		-	-	-	-	-
2010-06-24T12:59:00	Luigi Morelli	OBD	2⁷⁹	2⁸⁰		-	-	-	-	-
2010-06-24T12:59:00	Luigi Morelli	OBD	2⁸⁰	2⁸¹		-	-	-	-	-
2011-01-16T15:26:00	lindee	Manual testing	2⁸¹	2⁸²		-	-	-	-	-
2011-06-25T13:38:00	lavalamp	OBD	2⁸²	2⁸³		-	-	-	-	-
2013-11-05T19:55:00			2⁸³	2⁸⁴		-	-	589.7	-	-
2018-08-17T02:58:00	Jack Enright	Manual testing	2⁸⁴	2⁸⁵		-	-	1,179	-	-
2018-09-16T14:22:00	Jack Enright	Manual testing	2⁸⁵	2⁸⁶		-	-	2,359	-	-
2019-06-22T14:28:50	lavalamp	exosphere	2⁸⁶	2⁸⁷		-	-	4,718	-	-
2019-06-27T19:13:43	lavalamp	exosphere	2⁸⁷	2⁸⁸		-	-	9,435	-	-
2019-07-09T05:09:46	lavalamp	exosphere	2⁸⁸	2⁸⁹		-	-	18,870	-	-
2019-12-09T13:23:29	lavalamp	exosphere	2⁸⁹	2⁹⁰		-	-	37,741	-	-
2021-02-23T05:17:26	johnny_jack	3060Ti	2⁹⁰	2⁹¹		-	-	75,481	-	-
2022-02-05T23:16:14	johnny_jack	3060Ti	2⁹¹	2⁹²		-	-	150,963	-	-

ECM factoring results:
No ECM results for M3321928171

Lucas-Lehmer results:
No L-L results for M3321928171

PRP results:
No PRP results for M3321928171

TF factor-bounds graph:

2⁹²

2⁹¹

2⁹⁰

2⁸⁹

2⁸⁸

2⁸⁷

2⁸⁶

2⁸⁵

2⁸⁴

2⁸³

2⁸²

2⁸¹

2⁸⁰

2⁷⁹

2⁷⁸

2⁷⁷

2⁷⁶

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-02T12:27:16+00:00