M229001533 Mersenne number exponent details

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M229001533

<<<

is 2 ^229001533 - 1

has 68936331 decimal digits

takes 2,264.571 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 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
Actual	2⁷⁵	33.4142	62.6667%	1381000	1381000	19.8020	2.4355%	53.2162	63.5759%
Target	2⁷⁹	534.6392	64.5570%	1400000	55000000	61.9480	4.1729%	596.5871	66.0360%
Difference	-4	-501.2250	-1.8903%	-19000	-53619000	-42.1460	-1.7374%	-543.3709	-2.4601%

Known prime factors (1 factor, 88.5 bits, 0.00003866% 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
229001533	446161320214271139003165833	27	88.528	974144832939330452 2² × 79 × 397 × 1511 × 49363 × 104107	2022-09-27	49363	104107	279,187	0.7506	1.4405

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2022-09-27	aperson1	2012_VP113	1381000	1381000			446161320214271139003165833	27	88.528	19.80	4,529	39.60	2.435%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-11-06	GrunwalderGIMP	GWPrime02	2⁶⁴	2⁶⁵		-	-	0.016	-	-
2010-11-06	GrunwalderGIMP	GWPrime02	2⁶⁵	2⁶⁶		-	-	0.033	-	-
2015-10-10	mognuts	Manual testing	2⁶⁶	2⁶⁷		-	-	0.065	-	-
2016-09-18	Ollie Sampson		2⁶⁷	2⁶⁸		-	-	0.131	-	-
2018-04-20	Yxinity	Manual testing	2⁶⁸	2⁶⁹		-	-	0.261	-	-
2018-04-24	rubikvn2100	com_cc1804-16	2⁶⁸	2⁶⁹		-	-	0.261	-	-
2018-04-20	Yxinity	Manual testing	2⁶⁹	2⁷⁰		-	-	0.522	-	-
2018-09-21	mikr	Manual testing	2⁷⁰	2⁷¹		-	-	1.044	-	-
2018-11-22	Niels_Mache_Nextcloud	Manual testing	2⁷⁰	2⁷¹		-	-	1.044	-	-
2018-09-21	mikr	Manual testing	2⁷¹	2⁷²		-	-	2.088	-	-
2020-11-04	SRBase	Manual testing	2⁷²	2⁷³		-	-	4.177	-	-
2021-10-30	GrunwalderGIMP	HexCore	2⁷³	2⁷⁴		-	-	8.354	-	-
2021-11-08	AK76	Manual testing	2⁷⁴	2⁷⁵		-	-	16.71	-	-

ECM factoring results:
No ECM results for M229001533

Lucas-Lehmer results:
No L-L results for M229001533

PRP results:
No PRP results for M229001533

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

B1 = 1381000 (P-1 stage 1)

10³

10⁴

10⁵

10⁶

10⁷

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁵

2⁷⁴

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-09-27T19:02:52+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