M70193647 Mersenne number exponent details

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M70193647

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is 2 ^70193647 - 1

has 21130394 decimal digits

takes 187.671 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	2⁶⁸	0.8491	60.2941%	-	-	-	-	0.8491	60.2941%	0.0000%
PrimeNet	2⁷⁰	3.4042	61.4286%	300000	13000000	3.8455	5.3970%	7.2496	63.5103%	2.0817%
GPU72	2⁷⁴	54.5044	63.5135%	450000	16000000	5.0289	4.0002%	59.5334	64.9731%	1.4595%
Difference	-6	-53.6553	-3.2194%	-450000	-16000000	-5.0289	-4.0002%	-58.6842	-4.6789%	-4.6789%

Known prime factors (2 factors, 131.5 bits, 0.00018735% 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
70193647	19288893979482525289	20	64.064	137397719052 2² × 3² × 11 × 6263 × 55399	2009-08-11	6263	55399	0.0522	0.0347	0.0494
70193647	201005381426208685649	21	67.446	1431791835992 2³ × 7 × 17 × 101 × 14890921	2022-08-05	101	14890921	0.7691	3.1456	5.8743

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
70193647	19288893979482525289 201005381426208685649	3877171491635585329175736385588093877561	40	131.510

P-1 results:
No P-1 results for M70193647

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2009-08-11T08:23:00	tsc	v4_computers	?	?	19288893979482525289	64.064	20	0.002	385.9	0.003
2007-07-24T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶³		-	-	0.023	-	-
2008-02-03T00:00:00	ANONYMOUS	v4_computers	2¹	2⁶⁴		-	-	0.051	-	-
2022-08-10T19:29:27	LordJulius	Manual testing	2¹	2⁶⁷	19288893979482525289	64.064	20	0.052	385.9	0.107
2022-08-05T09:35:46	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	201005381426208685649	67.446	21	0.346	385.2	0.710
2022-08-10T19:29:27	LordJulius	Manual testing	2⁶⁷	2⁶⁸	201005381426208685649	67.446	21	0.346	385.2	0.710

ECM factoring results:
No ECM results for M70193647

Lucas-Lehmer results:
No L-L results for M70193647

PRP results:
No PRP results for M70193647

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

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶⁴

2⁶³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:27+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