M23 644 891 Mersenne number exponent details

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is 2 ^23644891 - 1

has 7117822 decimal digits

takes 19.179 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁶⁷	1.2567	62.6866%	-	-	-	-	1.2567	62.6866%
Target	2⁷⁰	10.1058	64.2857%	160000	22500000	1.6197	3.4877%	11.7255	65.5313%
Difference	-3	-8.8491	-1.5991%	-160000	-22500000	-1.6197	-3.4877%	-10.4688	-2.8448%

Known prime factors (2 factors, 80.1 bits, 0.00033864% 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
23644891	12295343321	11	33.517	260 2² × 5 × 13	-	5	13	5.112e-11	6.393e-6	1.197e-5
23644891	103320985623137	15	46.554	2184848 2⁴ × 19 × 7187	2008-10-01	19	7187	7.576e-7	0.0005	0.0009

1 Composite Factors:

P-1 results:
No P-1 results for M23644891

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-10-01	markr	Manual testing	?	?	103320985623137	46.554	15	3.61110e-7	48.93	9.21280e-7

ECM factoring results:
No ECM results for M23644891

Lucas-Lehmer results:
No L-L results for M23644891

PRP results:
No PRP results for M23644891

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

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2

this exponent TF target: 70

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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Last modified: 2023-10-02T12:12:48+00:00