M3 321 930 793 Mersenne number exponent details

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is 2 ^3321930793 - 1

has 1000000813 decimal digits

takes 703,411.156 GHz-days to do one PRP test

Part of Operation Billion Digit (OBD)

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	2⁷¹	0.1439	54.9296%	-	-	-	-	0.1439	54.9296%
Target	2⁹¹	150,962.5301	64.8352%	17000000	5000000000	88,575.5389	4.2997%	239,538.0690	66.3471%
Difference	-20	-150,962.3862	-9.9056%	-17000000	-5000000000	-88,575.5389	-4.2997%	-239,537.9251	-11.4176%

Known prime factors (2 factors, 75.4 bits, 0.00000227% 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
3321930793	19931584759	11	34.214	3 3	2004-08-28	1	3	6.939e-13	0.0003	0.0006
3321930793	2524667402681	13	41.199	380 2² × 5 × 19	2004-08-28	5	19	1.680e-10	0.0018	0.0031

1 Composite Factors:

P-1 results:
No P-1 results for M3321930793

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-08-28	Uncwilly	OBD	2³⁴	2³⁵	19931584759	34.214	11	4.92113e-15	192,793	1.03543e-14
2004-08-28	Uncwilly	OBD	2⁴¹	2⁴²	2524667402681	41.199	13	7.97879e-11	192,793	1.67877e-10
2022-03-22	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸		-	-	0.017	-	-
2007-02-09	PatrickSchmeer	OBD	2⁶⁵	2⁶⁹		-	-	-	-	-
2010-05-07	Luigi Morelli	OBD	2⁶⁹	2⁷¹		-	-	-	-	-

ECM factoring results:
No ECM results for M3321930793

Lucas-Lehmer results:
No L-L results for M3321930793

PRP results:
No PRP results for M3321930793

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

10⁰

10¹

10²

TF factor-bounds graph:

2⁷¹

2⁶⁹

2⁶⁸

2⁴²

2³⁵

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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