M195010769 Mersenne number exponent details

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M195010769

<<<

is 2 ^195010769 - 1

has 58704091 decimal digits

takes 1,595.296 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	0.3056	58.8235%	-	-	-	-	0.3056	58.8235%	0.0000%
PrimeNet	2⁷⁴	19.6187	62.1622%	800000	45000000	38.0543	5.8193%	57.6730	64.3640%	2.2019%
GPU72	2⁷⁸	313.9135	64.1026%	1200000	45000000	42.5405	4.2490%	356.4540	65.6278%	1.5253%
Difference	-10	-313.6078	-5.2790%	-1200000	-45000000	-42.5405	-4.2490%	-356.1483	-6.8043%	-6.8043%

Known prime factors (3 factors, 188.7 bits, 0.00009678% 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
195010769	289255930312027271	18	58.005	741640915 5 × 59 × 2514037	2008-09-01	59	2514037	0.0003	1.6254	3.0345
195010769	11579316164654356303	20	63.328	29688914679 3 × 89 × 151 × 736387	2017-01-27	151	736387	0.0083	0.4776	0.8888
195010769	195619939995450927391	21	67.407	501561890655 3 × 5 × 7 × 19 × 251409469	2022-07-11	19	251409469	0.2743	162.48	303.46

4 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
195010769	289255930312027271 11579316164654356303	3349385869584191383878912245486739113	37	121.333
195010769	289255930312027271 195619939995450927391	56584227730967109801810483918232879961	38	125.412
195010769	11579316164654356303 195619939995450927391	2265145133318040150735901753789496195473	40	130.735
195010769	289255930312027271 11579316164654356303 195619939995450927391	65520666282967074394661268948356381221205481122832 2744183	57	188.740

P-1 results:
No P-1 results for M195010769

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2017-01-27T17:15:54	TJAOI	Manual testing	2⁶³	2⁶⁴*	11579316164654356303	63.328	20	8.49872e-5	3,272	0.000
2022-07-11T14:25:30	TJAOI	Manual testing	2⁶⁷	2⁶⁸*	195619939995450927391	67.407	21	0.122	3,272	0.250
2022-08-10T19:29:35	LordJulius	Manual testing	2¹	2⁶⁸	11579316164654356303	63.328	20	0.008	3,272	0.017
2022-08-10T19:29:35	LordJulius	Manual testing	2¹	2⁶⁸	195619939995450927391	67.407	21	0.274	3,272	0.563
2022-08-10T19:29:35	LordJulius	Manual testing	2¹	2⁶⁸	289255930312027271	58.005	18	0.000	3,272	0.001

ECM factoring results:
No ECM results for M195010769

Lucas-Lehmer results:
No L-L results for M195010769

PRP results:
No PRP results for M195010769

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

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

2⁶⁸

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2022-08-10T19:29:35+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