M2 096 793 511 Mersenne number exponent details

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is 2 ^2096793511 - 1

has 631197742 decimal digits

takes 323,546.888 GHz-days to do one PRP test

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	2⁶³	0.0008	50.7937%	-	-	-	-	0.0008	50.7937%
Target	2⁸⁹	59,792.1391	65.1685%	11000000	3000000000	38,897.4988	4.2484%	98,689.6378	66.6483%
Difference	-26	-59,792.1383	-14.3749%	-11000000	-3000000000	-38,897.4988	-4.2484%	-98,689.6371	-15.8547%

Known prime factors (4 factors, 166.9 bits, 0.00000796% 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
2096793511	171937067903	12	37.323	41 41	2012-08-20	1	41	9.585e-12	0.0007	0.0009
2096793511	641618814367	12	39.223	153 3² × 17	2019-06-30	9	17	4.765e-11	0.0021	0.0041
2096793511	3170351788633	13	41.528	756 2² × 3³ × 7	2019-06-30	27	27	2.515e-10	0.0060	0.0123
2096793511	491341623432631	15	48.804	117165 3 × 5 × 73 × 107	2019-06-30	73	107	3.513e-8	0.0167	0.0332

11 Composite Factors:

P-1 results:
No P-1 results for M2096793511

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-30			2³⁷	2³⁸	171937067903	37.323	12	8.52418e-13	120,247	1.77225e-12
2019-06-30			2³⁹	2⁴⁰	641618814367	39.223	12	1.27239e-11	120,247	2.64541e-11
2019-06-30			2⁴¹	2⁴²	3170351788633	41.528	13	1.11771e-10	120,247	2.32381e-10
2019-06-30			2⁴⁸	2⁴⁹	491341623432631	48.804	15	1.72446e-8	120,247	3.58531e-8

ECM factoring results:
No ECM results for M2096793511

Lucas-Lehmer results:
No L-L results for M2096793511

PRP results:
No PRP results for M2096793511

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

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁶³

2⁴⁹

2⁴²

2⁴⁰

2³⁸

this exponent TF target: 89

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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Last modified: 2023-10-02T12:12:48+00:00