M24631877 Mersenne number exponent details

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M24631877

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>>>

is 2 ^24631877 - 1

has 7414934 decimal digits

takes 19.979 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- 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	Prob over default TF
Actual	2⁶⁷	1.2063	62.6866%	-	-	-	-	1.2063	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5996	62.1212%	110000	4000000	0.3786	4.9676%	0.9782	64.0029%	1.8817%
GPU72	2⁷⁰	9.7009	64.2857%	170000	5000000	0.5094	3.6202%	10.2103	65.5786%	1.2929%
Difference	-3	-8.4946	-1.5991%	-170000	-5000000	-0.5094	-3.6202%	-9.0040	-2.8921%	-2.8921%

Known prime factors (2 factors, 127.4 bits, 0.00051723% 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
24631877	1716856296009396079	19	60.574	34850293707 3 × 1123 × 10344403	2003-08-25	1123	10344403	0.0101	0.6641	1.2380
24631877	131036722546601519471	21	66.829	2659901284555 5 × 94781 × 5612731	2020-10-08	94781	5612731	1.0717	0.4651	0.6717

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24631877	1716856296009396079 131036722546601519471	224971222112569203503901888474469554209	39	127.403

P-1 results:
No P-1 results for M24631877

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	Architects Cubed	v4_computers	?	?	1716856296009396079	60.574	19	0.004	41.30	0.008
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-12-22T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2003-08-31T00:00:00	Net_Force	v4_computers	2¹	2⁶⁰		-	-	0.006	-	-
2022-06-24T05:04:18	LordJulius	Manual testing	2⁶⁰	2⁶⁵	1716856296009396079	60.574	19	0.004	41.30	0.008
2022-06-24T05:04:18	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.303	-	-
2020-10-08T09:34:10	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	131036722546601519471	66.829	21	0.472	40.72	0.962

ECM factoring results:
No ECM results for M24631877

Lucas-Lehmer results:
No L-L results for M24631877

PRP results:
No PRP results for M24631877

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

10²

10³

10⁴

10⁵

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁰

2⁵⁸

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:04:18+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront