M3 589 757 651 Mersenne number exponent details

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is 2 ^3589757651 - 1

has 1080624731 decimal digits

takes 830,089.909 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	0.0166	52.9412%	-	-	-	-	0.0166	52.9412%
Target	2⁹²	279,398.8487	65.2174%	18000000	5500000000	106,179.5979	4.0936%	385,578.4466	66.6412%
Difference	-24	-279,398.8321	-12.2762%	-18000000	-5500000000	-106,179.5979	-4.0936%	-385,578.4300	-13.7001%

Known prime factors (2 factors, 67.5 bits, 0.00000188% 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
3589757651	7179515303	10	32.741	1 1	2012-08-20	1	1	1.598e-13	0.0003	0.0007
3589757651	28718061209	11	34.741	4 2²	2012-08-20	4	4	6.436e-13	0.0013	0.0027

1 Composite Factors:

P-1 results:
No P-1 results for M3589757651

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-03-10	slaur	nocebo-1650	2⁶⁴	2⁶⁸	28718061209	34.741	11	0.016	1,686,620	0.032
2022-03-10	slaur	nocebo-1650	2⁶⁴	2⁶⁸	7179515303	32.741	10	0.016	1,686,620	0.032

ECM factoring results:
No ECM results for M3589757651

Lucas-Lehmer results:
No L-L results for M3589757651

PRP results:
No PRP results for M3589757651

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

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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