M332192963 Mersenne number exponent details

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M332192963

<<<

is 2 ^332192963 - 1

has 100000047 decimal digits

takes 4,941.370 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	0.0894	56.7164%	-	-	-	-	0.0894	56.7164%	0.0000%
PrimeNet	2⁷⁷	92.1397	62.3377%	1300000	80000000	120.5217	5.4881%	212.6614	64.4046%	2.0669%
GPU72	2⁸¹	1,474.2434	64.1975%	1900000	80000000	132.7579	4.0317%	1,607.0013	65.6410%	1.4434%
Difference	-14	-1,474.1540	-7.4811%	-1900000	-80000000	-132.7579	-4.0317%	-1,606.9119	-8.9246%	-8.9246%

Known prime factors (3 factors, 163.4 bits, 0.00004918% 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
332192963	664385927	9	29.307	1 1	-	1	1	2.153e-13	2.157e-5	4.390e-5
332192963	49881185830905022303	20	65.435	75078631077 3 × 29 × 389 × 2218439	2015-11-30	389	2218439	0.0433	2.6149	4.8690
332192963	461125769518117843057	21	68.644	694063121256 2³ × 3³ × 37799 × 85009	2019-04-13	37799	85009	0.3281	0.8708	1.6592

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
332192963	664385927 49881185830905022303	33140357888125098491734329881	29	94.743
332192963	664385927 461125769518117843057	306365471844883066454665458839	30	97.951
332192963	49881185830905022303 461125769518117843057	23001500200752314787266926492858838700271	41	134.079
332192963	664385927 49881185830905022303 461125769518117843057	15281873033267512757334144754398878430023023486217	50	163.386

P-1 results:
No P-1 results for M332192963

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-11-30T23:37:56	Grant McCracken	Manual testing	?	?	49881185830905022303	65.435	20	0.021	10,153	0.044
2019-04-13T11:14:55	Grant McCracken	Manual testing	?	?	461125769518117843057	68.644	21	0.149	10,153	0.305

ECM factoring results:
No ECM results for M332192963

Lucas-Lehmer results:
No L-L results for M332192963

PRP results:
No PRP results for M332192963

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

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-04-13T11:14:55+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