M20958907 Mersenne number exponent details

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M20958907

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is 2 ^20958907 - 1

has 6309260 decimal digits

takes 14.853 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	2.8439	63.2353%	-	-	-	-	2.8439	63.2353%	0.0000%
PrimeNet	2⁶⁵	0.3481	61.5385%	100000	3200000	0.2763	5.1070%	0.6244	63.5027%	1.9642%
GPU72	2⁶⁹	5.6962	63.7681%	150000	4500000	0.3977	3.7829%	6.0939	65.1387%	1.3706%
Difference	-1	-2.8523	-0.5328%	-150000	-4500000	-0.3977	-3.7829%	-3.2500	-1.9034%	-1.9034%

Known prime factors (2 factors, 86.6 bits, 0.00041303% 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
20958907	209589071	9	27.643	5 5	-	1	5	8.540e-13	1.252e-6	2.091e-6
20958907	546521749071078343	18	58.923	13037935353 3 × 827 × 5255113	2015-10-13	827	5255113	0.0035	0.2950	0.5495

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
20958907	209589071 546521749071078343	114544985669102422877589353	27	86.566

P-1 results:
No P-1 results for M20958907

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-10-13T11:07:59	TJAOI	Manual testing	2⁵⁸	2⁵⁹*	546521749071078343	58.923	18	0.002	30.64	0.004
2022-06-24T03:14:34	LordJulius	Manual testing	2¹	2⁶⁵	209589071	27.643	9	8.54033e-13	30.64	1.76179e-12
2022-06-24T03:14:34	LordJulius	Manual testing	2¹	2⁶⁵	546521749071078343	58.923	18	0.004	30.64	0.007
2022-06-24T03:14:34	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.357	-	-
2022-06-24T03:14:34	LordJulius	Manual testing	2⁶⁶	2⁶⁷		-	-	0.713	-	-
2022-04-11T20:17:40	LordJulius	Manual testing	2⁶⁷	2⁶⁸		-	-	1.426	-	-

ECM factoring results:
No ECM results for M20958907

Lucas-Lehmer results:
No L-L results for M20958907

PRP results:
No PRP results for M20958907

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

10⁷

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁹

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T03:14:34+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