M3 320 300 149 Mersenne number exponent details

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is 2 ^3320300149 - 1

has 999509940 decimal digits

takes 703,065.871 GHz-days to do one PRP test

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	2⁷³	0.5761	56.1644%	-	-	-	-	0.5761	56.1644%
Target	2⁹¹	151,036.6698	64.8352%	17000000	5000000000	88,575.5389	4.2995%	239,612.2088	66.3471%
Difference	-18	-151,036.0937	-8.6708%	-17000000	-5000000000	-88,575.5389	-4.2995%	-239,611.6327	-10.1827%

Known prime factors (1 factor, 72.6 bits, 0.00000219% 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
3320300149	6920291208938245978943	22	72.551	1042118317379 47 × 67 × 317 × 433 × 2411	2021-01-07	433	2411	0.5754	0.1660	0.2706

P-1 results:
No P-1 results for M3320300149

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-01-07	ramgeis	r4mg31s	2⁷²	2⁷³	6920291208938245978943	72.551	22	0.288	1,430,050	0.590

ECM factoring results:
No ECM results for M3320300149

Lucas-Lehmer results:
No L-L results for M3320300149

PRP results:
No PRP results for M3320300149

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:

2⁷³

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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