M3 321 933 691 Mersenne number exponent details

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is 2 ^3321933691 - 1

has 1000001685 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	150,962.3984	64.8352%	17000000	5000000000	88,575.5389	4.2997%	239,537.9373	66.3471%
Difference	-20	-150,962.2545	-9.9056%	-17000000	-5000000000	-88,575.5389	-4.2997%	-239,537.7934	-11.4176%

Known prime factors (1 factor, 41.6 bits, 0.00000125% 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
3321933691	3248851149799	13	41.563	489 3 × 163	2007-03-29	3	163	1.027e-10	0.0036	0.0050

P-1 results:
No P-1 results for M3321933691

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2007-03-29	Uncwilly	OBD	2⁴¹	2⁴²	3248851149799	41.563	13	1.44878e-11	1,428,490	0.081
2022-03-22	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸		-	-	0.017	-	-
2023-10-16	VladimirLapin	GTX780Ti	2³¹	2⁶⁹	3248851149799	41.563	13	0.036	1,428,490	0.081
2010-05-07	Luigi Morelli	OBD	2⁶⁹	2⁷¹		-	-	-	-	-

ECM factoring results:
No ECM results for M3321933691

Lucas-Lehmer results:
No L-L results for M3321933691

PRP results:
No PRP results for M3321933691

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

TF factor-bounds graph:

2⁷¹

2⁶⁹

2⁶⁸

2⁴²

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-16T16:00:12+00:00