M24448759 Mersenne number exponent details

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M24448759

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is 2 ^24448759 - 1

has 7359810 decimal digits

takes 19.831 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	1.2154	62.6866%	-	-	-	-	1.2154	62.6866%	0.0000%
PrimeNet	2⁶⁶	0.6041	62.1212%	110000	4000000	0.3786	4.9627%	0.9827	64.0010%	1.8798%
GPU72	2⁷⁰	9.7735	64.2857%	170000	5000000	0.5094	3.6165%	10.2830	65.5773%	1.2916%
Difference	-3	-8.5582	-1.5991%	-170000	-5000000	-0.5094	-3.6165%	-9.0676	-2.8907%	-2.8907%

Known prime factors (3 factors, 163.5 bits, 0.00066872% 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
24448759	356022681865447	15	48.339	7280997 3 × 467 × 5197	-	467	5197	3.027e-6	0.0009	0.0011
24448759	58564092782179001	17	55.701	1197690500 2² × 5³ × 23 × 104147	2015-08-06	125	104147	0.0003	0.0068	0.0125
24448759	790108453794027839	18	59.455	16158457241 24001 × 673241	2015-11-21	24001	673241	0.0049	0.0698	0.0806

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
24448759	356022681865447 58564092782179001	20850145373328235363980150878447	32	104.040
24448759	356022681865447 790108453794027839	281296530684311404040096370179033	33	107.794
24448759	58564092782179001 790108453794027839	46271984795977436484024542875208839	35	115.156
24448759	356022681865447 58564092782179001 790108453794027839	16473876122301075378273915897020887853398223086033	50	163.495

P-1 results:
No P-1 results for M24448759

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-02-09T12:33:00	TJAOI	Manual testing	2⁵⁵	2⁵⁶*	58564092782179001	55.701	17	7.22376e-5	41.02	0.000
2015-11-21T12:25:00	TJAOI	Manual testing	2⁵⁹	2⁶⁰*	790108453794027839	59.455	18	0.002	41.02	0.004
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁰	356022681865447	48.339	15	3.02661e-6	41.02	6.26099e-6
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁰	58564092782179001	55.701	17	0.000	41.02	0.001
2022-06-24T04:22:49	LordJulius	Manual testing	2¹	2⁶⁰	790108453794027839	59.455	18	0.005	41.02	0.010

ECM factoring results:
No ECM results for M24448759

Lucas-Lehmer results:
No L-L results for M24448759

PRP results:
No PRP results for M24448759

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

10⁴

10⁵

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2⁶⁰

2⁵⁶

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-06-24T04:22:49+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