M3 009 304 241 Mersenne number exponent details

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is 2 ^3009304241 - 1

has 905890843 decimal digits

takes 579,082.087 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	166,645.5224	64.8352%	15000000	4500000000	72,366.3969	4.1381%	239,011.9193	66.2903%
Difference	-22	-166,645.4827	-11.2120%	-15000000	-4500000000	-72,366.3969	-4.1381%	-239,011.8796	-12.6671%

Known prime factors (3 factors, 160.4 bits, 0.00000533% 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
3009304241	43863618616817	14	45.318	7288 2³ × 911	2012-08-20	8	911	2.106e-9	0.0160	0.0260
3009304241	1782759981236257	16	50.663	296208 2⁴ × 3² × 11² × 17	2019-06-25	121	121	6.266e-8	0.0338	0.0687
3009304241	25013012327822650561	20	64.439	4155946080 2⁵ × 3 × 5 × 11 × 13 × 191 × 317	2020-11-04	191	317	0.0021	0.0552	0.1085

4 Composite Factors:

P-1 results:
No P-1 results for M3009304241

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-25			2⁴⁵	2⁴⁶	43863618616817	45.318	14	5.48858e-10	1,186,750	4.31682e-9
2019-06-25			2⁵⁰	2⁵¹	1782759981236257	50.663	16	1.28166e-8	1,186,750	1.28410e-7
2021-12-20	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	25013012327822650561	64.439	20	0.019	1,176,330	0.038
2020-11-04	ramgeis	r4mg31s	2¹	2⁶⁹	1782759981236257	50.663	16	6.26588e-8	1,186,750	1.28410e-7
2020-11-04	ramgeis	r4mg31s	2¹	2⁶⁹	25013012327822650561	64.439	20	0.002	1,176,330	0.038
2020-11-04	ramgeis	r4mg31s	2¹	2⁶⁹	43863618616817	45.318	14	2.10643e-9	1,186,750	4.31682e-9

ECM factoring results:
No ECM results for M3009304241

Lucas-Lehmer results:
No L-L results for M3009304241

PRP results:
No PRP results for M3009304241

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

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10³

TF factor-bounds graph:

2⁶⁹

2⁶⁸

2⁵¹

2⁴⁶

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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