M24695947 Mersenne number exponent details

≡

M24695947

<<<

>>>

is 2 ^24695947 - 1

has 7434221 decimal digits

takes 20.031 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	1.2032	62.6866%	-	-	-	-	1.2032	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5980	62.1212%	110000	4000000	0.3786	4.9694%	0.9766	64.0035%	1.8823%
GPU72	2⁷⁰	9.6757	64.2857%	170000	5000000	0.5094	3.6214%	10.1851	65.5791%	1.2934%
Difference	-3	-8.4725	-1.5991%	-170000	-5000000	-0.5094	-3.6214%	-8.9819	-2.8925%	-2.8925%

Known prime factors (2 factors, 118.2 bits, 0.00047882% 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
24695947	106757528832761713	18	56.567	2161438248 2³ × 3 × 23 × 167 × 23447	2001-12-22	167	23447	0.0007	0.0017	0.0028
24695947	3700107028823528831	19	61.682	74913244445 5 × 13 × 1152511453	2016-05-20	13	1152511453	0.0246	73.850	137.93

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24695947	106757528832761713 3700107028823528831	395014282813932153840712012008447503	36	118.249

P-1 results:
No P-1 results for M24695947

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-12-22T00:00:00	Matt	v4_computers	?	?	106757528832761713	56.567	18	0.000	41.42	0.001
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2022-06-24T05:04:21	LordJulius	Manual testing	2¹	2⁶¹	106757528832761713	56.567	18	0.001	41.42	0.001
2016-05-20T15:18:44	TJAOI	Manual testing	2⁶¹	2⁶²*	3700107028823528831	61.682	19	0.012	41.39	0.025

ECM factoring results:
No ECM results for M24695947

Lucas-Lehmer results:
No L-L results for M24695947

PRP results:
No PRP results for M24695947

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶⁷

2⁶²

2⁶¹

2⁵⁶

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T05:04:21+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