M17504143 Mersenne number exponent details

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M17504143

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is 2 ^17504143 - 1

has 5269273 decimal digits

takes 9.968 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	2⁷³	109.2795	65.7534%	-	-	-	-	109.2795	65.7534%	0.0000%
PrimeNet	2⁶⁵	0.4168	61.5385%	80000	2400000	0.1704	4.5488%	0.5872	63.2880%	1.7495%
GPU72	2⁶⁹	6.8205	63.7681%	120000	3400000	0.2466	3.3524%	7.0671	64.9827%	1.2146%
Difference	+4	+102.4590	+1.9853%	-120000	-3400000	-0.2466	-3.3524%	+102.2124	+0.7707%	+0.7707%

Known prime factors (2 factors, 87.7 bits, 0.00050106% 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
17504143	6864004619449	13	42.642	196068 2² × 3 × 16339	-	4	16339	4.817e-8	0.0007	0.0014
17504143	36779600246743	14	45.064	1050597 3³ × 167 × 233	2008-09-08	167	233	3.754e-7	0.0001	0.0003

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
17504143	6864004619449 36779600246743	252455345995131532216704607	27	87.706

P-1 results:
No P-1 results for M17504143

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08T13:33:00	Will Edgington	Manual testing	?	?	36779600246743	45.064	14	1.07632e-7	20.72	2.23786e-7
2020-03-09T14:34:25	Christoph Zenger	Manual testing	2⁴⁶	2⁶⁴		-	-	0.203	-	-
2022-03-28T06:01:35	LordJulius	Manual testing	2⁶⁴	2⁶⁵		-	-	0.213	-	-
2020-03-09T14:34:25	Christoph Zenger	Manual testing	2⁶⁵	2⁷³		-	-	108.9	-	-

ECM factoring results:

Old Calculation Method

Total ECM effort:	5.626 GHz-days
Estimated T-Level:	0.250

Digits	B1	Curves	Complete	FacMiss
20	11000	5 / 100	0.050	95.099%
25	50000	5 / 280	0.018	98.227%

New Calculation Method

Total ECM effort:	5.626 GHz-days
Estimated T-Level:	0.250

Digits	B1	Complete	FacMiss
20	11000	0.182	83.319%
25	50000	0.018	98.240%
30	250000	0.001	99.879%

ECM Summary

B1	B2	curves	GHz-days
50000	5000000	3	2.598
50000	10000000	1	1.297
100000	10000000	1	1.732

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2020-03-09T14:34:25	Christoph Zenger	Manual testing	50000	5000000						3	2.598
2020-03-09T14:34:25	Christoph Zenger	Manual testing	50000	10000000						1	1.297
2020-03-09T14:34:25	Christoph Zenger	Manual testing	100000	10000000						1	1.732

Lucas-Lehmer results:
No L-L results for M17504143

PRP results:
No PRP results for M17504143

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

TF factor-bounds graph:

2⁷³

2⁶⁵

2⁶⁴

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-03-28T06:01:35+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