M69 599 381 Mersenne number exponent details

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is 2 ^69599381 - 1

has 20951502 decimal digits

takes 186.082 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	0.4269	59.7015%	-	-	-	-	0.4269	59.7015%
Target	2⁷⁴	54.9698	63.5135%	450000	16000000	5.0289	3.9960%	59.9988	64.9715%
Difference	-7	-54.5429	-3.8120%	-450000	-16000000	-5.0289	-3.9960%	-59.5718	-5.2700%

Known prime factors (1 factor, 58.5 bits, 0.00008408% 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
69599381	413735441715011887	18	58.521	2972263803 3 × 19 × 23 × 919 × 2467	2003-04-20	919	2467	0.0006	0.0039	0.0073

P-1 results:
No P-1 results for M69599381

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2000-10-22	Jocelyn Larouche	v4_computers	2¹	2⁵⁴		-	-	3.44809e-5	-	-
2001-05-13	Jocelyn Larouche	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-

ECM factoring results:
No ECM results for M69599381

Lucas-Lehmer results:
No L-L results for M69599381

PRP results:
No PRP results for M69599381

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

10¹

10²

10³

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁵⁶

2⁵⁴

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-04-26T21:34:10+00:00