M22190789 Mersenne number exponent details

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M22190789

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is 2 ^22190789 - 1

has 6680094 decimal digits

takes 16.181 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	2⁶⁷	1.3390	62.6866%	-	-	-	-	1.3390	62.6866%	0.0000%
PrimeNet	2⁶⁵	0.3288	61.5385%	100000	3200000	0.2843	5.1465%	0.6131	63.5179%	1.9794%
GPU72	2⁶⁹	5.3800	63.7681%	170000	5000000	0.4580	3.9717%	5.8380	65.2071%	1.4390%
Difference	-2	-4.0410	-1.0815%	-170000	-5000000	-0.4580	-3.9717%	-4.4990	-2.5206%	-2.5206%

Known prime factors (3 factors, 142.6 bits, 0.00064269% 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
22190789	213741679649	12	37.637	4816 2⁴ × 7 × 43	-	16	43	8.601e-10	1.847e-5	3.443e-5
22190789	352148781733039	15	48.323	7934571 3³ × 19 × 15467	2008-10-01	27	15467	2.433e-6	0.0009	0.0017
22190789	113620545186710377	18	56.657	2560083492 2² × 3 × 569 × 374939	2015-08-06	569	374939	0.0007	0.0222	0.0403

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
22190789	213741679649 352148781733039	75268872093968844977223311	26	85.960
22190789	213741679649 113620545186710377	24285446170842578292878017673	29	94.294
22190789	352148781733039 113620545186710377	40011336567343767483721425045703	32	104.980
22190789	213741679649 352148781733039 113620545186710377	8552090282905510864362327654476415809998247	43	142.617

P-1 results:
No P-1 results for M22190789

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-10-01T01:36:00	markr	Manual testing	?	?	352148781733039	48.323	15	7.42846e-7	33.29	1.52848e-6
2003-04-10T00:00:00	Thomas Mullen	v4_computers	2⁵⁶	2⁵⁷	MISSED FACTOR!	-	-	0.000	-	-
2015-04-21T11:19:00	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	113620545186710377	56.657	18	0.000	33.29	0.001

ECM factoring results:
No ECM results for M22190789

Lucas-Lehmer results:
No L-L results for M22190789

PRP results:
No PRP results for M22190789

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2⁵⁷

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2015-08-06T17:20:23+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