M3 321 933 689 Mersenne number exponent details

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is 2 ^3321933689 - 1

has 1000001684 decimal digits

takes 703,411.769 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	150,962.3985	64.8352%	17000000	8000000000	138,759.7403	4.2997%	289,722.1388	66.3471%
Difference	-20	-150,962.2546	-9.9056%	-17000000	-8000000000	-138,759.7403	-4.2997%	-289,721.9949	-11.4176%

Known prime factors (1 factor, 65.3 bits, 0.00000196% 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
3321933689	44258400890014668689	20	65.263	6661541896 2³ × 26881 × 30977	2007-03-31	26881	30977	0.0023	8.3219	16.797

P-1 results:
No P-1 results for M3321933689

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2007-03-31	PatrickSchmeer	OBD	2⁶⁵	2⁶⁶	44258400890014668689	65.263	20	8.56958e-5	1,430,740	0.035
2022-03-22	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	44258400890014668689	65.263	20	0.017	1,430,740	0.035
Missing TF 68 - 69
2010-05-07	Luigi Morelli	OBD	2⁶⁹	2⁷¹		-	-	-	-	-

ECM factoring results:
No ECM results for M3321933689

Lucas-Lehmer results:
No L-L results for M3321933689

PRP results:
No PRP results for M3321933689

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

10³

10⁴

10⁵

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷¹

2⁶⁸

2⁶⁶

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00