M168374279 Mersenne number exponent details

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is 2 ^168374279 - 1

has 50685709 decimal digits

takes 1,145.881 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	2⁷⁷	181.7865	63.6364%	-	-	-	-	181.7865	63.6364%	0.0000%
PrimeNet	2⁷⁴	22.7224	62.1622%	700000	40000000	28.0368	5.5275%	50.7592	64.2536%	2.0915%
GPU72	2⁷⁸	363.5740	64.1026%	1000000	40000000	30.8360	3.9980%	394.4100	65.5377%	1.4352%
Difference	-1	-181.7875	-0.4662%	-1000000	-40000000	-30.8360	-3.9980%	-212.6235	-1.9014%	-1.9014%

Known prime factors:
No known factors for M168374279

P-1 results:
No P-1 results for M168374279

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-07-08T12:51:00	Carsten Kossendey	leela	2⁶³	2⁶⁴		-	-	0.012	-	-
2011-02-18T16:30:00	Richard	workmy	2⁶⁴	2⁶⁵		-	-	0.022	-	-
2013-03-23T18:37:00	fireredd	ont1	2⁶⁵	2⁶⁶		-	-	0.044	-	-
2015-06-04T17:20:00	Summy	GR-PC08	2⁶⁶	2⁶⁷		-	-	0.089	-	-
2016-03-31T14:12:25	XZT	Manual testing	2⁶⁷	2⁶⁸		-	-	0.178	-	-
2017-04-28T02:13:55	Andrew B	Manual testing	2⁶⁸	2⁶⁹		-	-	0.355	-	-
2018-02-20T11:00:22	Zenghui	Manual testing	2⁶⁹	2⁷⁰		-	-	0.710	-	-
2018-02-20T16:21:05	Zenghui	Manual testing	2⁶⁹	2⁷⁰		-	-	0.710	-	-
2018-03-19T08:09:58	Ruediger Eckhard	Manual testing	2⁷⁰	2⁷¹		-	-	1.420	-	-
2018-02-27T05:32:31	Zenghui	Manual testing	2⁷⁰	2⁷¹		-	-	1.420	-	-
2018-03-19T08:09:58	Ruediger Eckhard	Manual testing	2⁷¹	2⁷²		-	-	2.840	-	-
2018-03-19T08:09:58	Ruediger Eckhard	Manual testing	2⁷²	2⁷³		-	-	5.681	-	-
2021-12-16T15:38:00	SRBase	Manual testing	2⁷³	2⁷⁴		-	-	11.36	-	-
2022-04-05T20:55:03	Tucker Kao	Manual testing	2⁷⁴	2⁷⁵		-	-	22.72	-	-
2022-04-05T20:55:03	Tucker Kao	Manual testing	2⁷⁵	2⁷⁶		-	-	45.45	-	-
2022-05-12T23:04:02	Tucker Kao	Manual testing	2⁷⁶	2⁷⁷		-	-	90.89	-	-

ECM factoring results:
No ECM results for M168374279

Lucas-Lehmer results:
No L-L results for M168374279

PRP results:
No PRP results for M168374279

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: 2022-05-12T23:04:02+00:00