M3 065 527 259 Mersenne number exponent details

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is 2 ^3065527259 - 1

has 922815658 decimal digits

takes 589,901.114 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	0.0194	52.9412%	-	-	-	-	0.0194	52.9412%
Target	2⁹¹	163,589.1757	64.8352%	15000000	4500000000	72,366.3969	4.1456%	235,955.5726	66.2930%
Difference	-23	-163,589.1562	-11.8940%	-15000000	-4500000000	-72,366.3969	-4.1456%	-235,955.5531	-13.3518%

Known prime factors (2 factors, 100.0 bits, 0.00000326% 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
3065527259	6131054519	10	32.513	1 1	2012-08-20	1	1	1.871e-13	0.0003	0.0006
3065527259	212377498816792384423	21	67.525	34639636329 3² × 3848848481	2022-01-06	9	3848848481	0.0155	58,510	109,281

1 Composite Factors:

P-1 results:
No P-1 results for M3065527259

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2022-01-06	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	212377498816792384423	67.525	21	0.018	1,199,490	0.037

ECM factoring results:
No ECM results for M3065527259

Lucas-Lehmer results:
No L-L results for M3065527259

PRP results:
No PRP results for M3065527259

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

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10¹⁰

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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