M24701437 Mersenne number exponent details

≡

M24701437

<<<

>>>

is 2 ^24701437 - 1

has 7435874 decimal digits

takes 20.036 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	1.2029	62.6866%	-	-	-	-	1.2029	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.5979	62.1212%	110000	4000000	0.3786	4.9695%	0.9765	64.0036%	1.8824%
GPU72	2⁷⁰	9.6736	64.2857%	170000	5000000	0.5094	3.6216%	10.1830	65.5791%	1.2934%
Difference	-3	-8.4706	-1.5991%	-170000	-5000000	-0.5094	-3.6216%	-8.9801	-2.8926%	-2.8926%

Known prime factors (2 factors, 125.8 bits, 0.00050922% 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
24701437	787633067697088439	18	59.450	15943061687 7 × 61 × 557 × 67033	2003-08-08	557	67033	0.0036	0.0049	0.0080
24701437	93052658268414597817	20	66.335	1883547468684 2² × 3² × 7 × 31 × 103 × 2340869	2020-02-04	103	2340869	0.7739	0.1501	0.2802

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24701437	787633067697088439 93052658268414597817	73291350689320231203304789736065337663	38	125.785

P-1 results:
No P-1 results for M24701437

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2003-08-25T00:00:00	Net_Force	v4_computers	?	?	787633067697088439	59.450	18	0.000	41.42	0.001
2003-08-08T00:00:00	Architects Cubed	v4_computers	?	?	787633067697088439	59.450	18	0.000	41.42	0.001
2001-09-16T00:00:00	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-09-10T00:00:00	Jocelyn Larouche	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2001-12-22T00:00:00	Matt	v4_computers	2¹	2⁵⁸		-	-	0.002	-	-
2022-06-24T05:04:21	LordJulius	Manual testing	2¹	2⁶⁵	787633067697088439	59.450	18	0.004	41.42	0.007
2022-06-24T05:04:21	LordJulius	Manual testing	2⁶⁵	2⁶⁶		-	-	0.303	-	-
2020-02-04T09:35:23	TJAOI	Manual testing	2⁶⁶	2⁶⁷*	93052658268414597817	66.335	20	0.176	40.83	0.359

ECM factoring results:
No ECM results for M24701437

Lucas-Lehmer results:
No L-L results for M24701437

PRP results:
No PRP results for M24701437

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁸

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