M166841699 Mersenne number exponent details

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M166841699

<<<

is 2 ^166841699 - 1

has 50224356 decimal digits

takes 1,094.899 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	2⁶⁸	0.3573	58.8235%	-	-	-	-	0.3573	58.8235%	0.0000%
PrimeNet	2⁷⁴	22.9311	62.1622%	650000	36000000	24.5119	5.3777%	47.4430	64.1970%	2.0348%
GPU72	2⁷⁸	366.9137	64.1026%	1000000	36000000	27.6609	3.9177%	394.5747	65.5089%	1.4063%
Difference	-10	-366.5565	-5.2790%	-1000000	-36000000	-27.6609	-3.9177%	-394.2174	-6.6854%	-6.6854%

Known prime factors (3 factors, 171.7 bits, 0.00010293% 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
166841699	694372460766937	15	49.303	2080932 2² × 3 × 7² × 3539	2007-11-16	49	3539	6.375e-7	0.0023	0.0034
166841699	36804371514240839	17	55.031	110297281 110297281	2015-01-01	1	110297281	5.381e-5	57.182	106.80
166841699	195248147157934884961	21	67.404	585129941520 2⁴ × 3 × 5 × 23 × 10039 × 10559	2022-07-08	10039	10559	0.2665	0.0958	0.1944

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
166841699	694372460766937 36804371514240839	25555942015323970684911266340143	32	104.333
166841699	694372460766937 195248147157934884961	135574936402240282827051680927334457	36	116.707
166841699	36804371514240839 195248147157934884961	7185985345467802107638865280713122279	37	122.435
166841699	694372460766937 36804371514240839 195248147157934884961	49897503273676256431714234216035896929443162012894 23	52	171.737

P-1 results:
No P-1 results for M166841699

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-01-01T11:38:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	36804371514240839	55.031	17	2.50381e-5	2,253	5.15201e-5
2022-07-08T08:27:32	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	195248147157934884961	67.404	21	0.088	2,253	0.182
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	195248147157934884961	67.404	21	0.267	2,253	0.548
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	36804371514240839	55.031	17	5.38060e-5	2,253	0.000
2022-08-10T19:29:34	LordJulius	Manual testing	2¹	2⁶⁸	694372460766937	49.303	15	6.37472e-7	2,253	1.31171e-6

ECM factoring results:
No ECM results for M166841699

Lucas-Lehmer results:
No L-L results for M166841699

PRP results:
No PRP results for M166841699

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

10²

10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁵⁶

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:34+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