M2 446 533 077 Mersenne number exponent details

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is 2 ^2446533077 - 1

has 736479842 decimal digits

takes 377,513.646 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	0.0244	52.9412%	-	-	-	-	0.0244	52.9412%
Target	2⁹⁰	102,489.3311	64.4444%	13000000	4000000000	51,510.7435	4.2424%	154,000.0746	65.9529%
Difference	-22	-102,489.3067	-11.5033%	-13000000	-4000000000	-51,510.7435	-4.2424%	-154,000.0502	-13.0117%

Known prime factors (2 factors, 87.0 bits, 0.00000356% 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
2446533077	10118860806473	14	43.202	2068 2² × 11 × 47	2012-08-20	11	47	9.214e-10	0.0029	0.0050
2446533077	15652918626647	14	43.831	3199 7 × 457	2019-07-19	7	457	7.743e-10	0.0071	0.0104

1 Composite Factors:

P-1 results:
No P-1 results for M2446533077

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-19			2⁴³	2⁴⁴	15652918626647	43.831	14	2.95361e-10	767,530	0.056
2023-11-20	JamesHeinrich	RTX4090	2¹	2⁶⁸	10118860806473	43.202	14	0.024	767,530	0.056
2023-11-20	JamesHeinrich	RTX4090	2¹	2⁶⁸	15652918626647	43.831	14	0.024	767,530	0.056

ECM factoring results:
No ECM results for M2446533077

Lucas-Lehmer results:
No L-L results for M2446533077

PRP results:
No PRP results for M2446533077

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

TF factor-bounds graph:

2⁶⁸

2⁴⁴

this exponent TF target: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-11-20T19:00:04+00:00