M3 009 303 887 Mersenne number exponent details

≡

is 2 ^3009303887 - 1

has 905890737 decimal digits

takes 579,082.019 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	2⁶⁹	0.0397	53.6232%	-	-	-	-	0.0397	53.6232%
Target	2⁹¹	166,645.5420	64.8352%	15000000	4500000000	72,366.3969	4.1381%	239,011.9389	66.2903%
Difference	-22	-166,645.5023	-11.2120%	-15000000	-4500000000	-72,366.3969	-4.1381%	-239,011.8992	-12.6671%

Known prime factors (2 factors, 104.0 bits, 0.00000346% 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
3009303887	722232932881	12	39.394	120 2³ × 3 × 5	2012-08-20	8	8	3.129e-11	0.0022	0.0045
3009303887	27885975965356064753	20	64.596	4633293448 2³ × 7 × 82737383	2020-11-04	8	82737383	0.0013	1,257.8	2,349.2

1 Composite Factors:

P-1 results:
No P-1 results for M3009303887

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-25			2³⁹	2⁴⁰	722232932881	39.394	12	6.95344e-12	1,186,750	6.41253e-11
2021-12-20	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	27885975965356064753	64.596	20	0.019	1,176,330	0.038
2020-11-04	ramgeis	r4mg31s	2¹	2⁶⁹	27885975965356064753	64.596	20	0.001	1,176,330	0.038
2020-11-04	ramgeis	r4mg31s	2¹	2⁶⁹	722232932881	39.394	12	3.12905e-11	1,186,750	6.41253e-11

ECM factoring results:
No ECM results for M3009303887

Lucas-Lehmer results:
No L-L results for M3009303887

PRP results:
No PRP results for M3009303887

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

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁴⁰

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

JSON version of this page

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