M3 321 935 791 Mersenne number exponent details

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is 2 ^3321935791 - 1

has 1000002317 decimal digits

takes 703,412.214 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	2⁷⁵	2.3034	57.3333%	-	-	-	-	2.3034	57.3333%
Target	2⁹¹	150,962.3030	64.8352%	17000000	5000000000	88,575.5389	4.2997%	239,537.8419	66.3471%
Difference	-16	-150,959.9995	-7.5018%	-17000000	-5000000000	-88,575.5389	-4.2997%	-239,535.5385	-9.0138%

Known prime factors (1 factor, 40.8 bits, 0.00000123% 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
3321935791	1866927914543	13	40.764	281 281	2011-04-05	1	281	7.359e-11	0.0050	0.0088

P-1 results:
No P-1 results for M3321935791

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2011-04-05	Uncwilly	OBD	2⁴⁰	2⁴¹	1866927914543	40.764	13	-	-	-
2022-03-22	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸		-	-	0.017	-	-
2011-05-12	firejuggler	Manual testing	2⁶⁷	2⁷²		-	-	-	-	-
2011-05-12	firejuggler	Manual testing	2⁷²	2⁷³		-	-	-	-	-
2011-05-12	firejuggler	Manual testing	2⁷³	2⁷⁴		-	-	-	-	-
2011-05-12	firejuggler	Manual testing	2⁷⁴	2⁷⁵		-	-	-	-	-

ECM factoring results:
No ECM results for M3321935791

Lucas-Lehmer results:
No L-L results for M3321935791

PRP results:
No PRP results for M3321935791

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

10³

10⁴

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁶⁸

2⁴¹

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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