M2 275 706 971 Mersenne number exponent details

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is 2 ^2275706971 - 1

has 685056060 decimal digits

takes 351,154.228 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	2⁶⁸	0.0262	52.9412%	-	-	-	-	0.0262	52.9412%
Target	2⁸⁹	55,091.3500	64.0449%	12000000	3250000000	42,156.5864	4.3750%	97,247.9364	65.6180%
Difference	-21	-55,091.3238	-11.1038%	-12000000	-3250000000	-42,156.5864	-4.3750%	-97,247.9102	-12.6768%

Known prime factors (2 factors, 84.9 bits, 0.00000373% 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
2275706971	22757069711	11	34.406	5 5	2012-08-20	1	5	1.018e-12	0.0003	0.0005
2275706971	1581038315274367	16	50.490	347373 3² × 13 × 2969	2019-07-16	13	2969	7.109e-8	0.0389	0.0675

1 Composite Factors:

P-1 results:
No P-1 results for M2275706971

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-16			2⁵⁰	2⁵¹	1581038315274367	50.490	16	5.17859e-9	712,771	0.057
2023-11-14	JamesHeinrich	RTX4090	2¹	2⁶⁸	1581038315274367	50.490	16	0.026	712,771	0.057
2023-11-14	JamesHeinrich	RTX4090	2¹	2⁶⁸	22757069711	34.406	11	0.026	712,771	0.057

ECM factoring results:
No ECM results for M2275706971

Lucas-Lehmer results:
No L-L results for M2275706971

PRP results:
No PRP results for M2275706971

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

10²

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁸

2⁵¹

this exponent TF target: 89

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-11-14T15:50:23+00:00