M2 090 511 749 Mersenne number exponent details

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is 2 ^2090511749 - 1

has 629306743 decimal digits

takes 322,577.577 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	59,971.8080	65.1685%	11000000	3000000000	38,897.4988	4.2471%	98,869.3067	66.6479%
Difference	-26	-59,971.8072	-14.3749%	-11000000	-3000000000	-38,897.4988	-4.2471%	-98,869.3060	-15.8542%

Known prime factors (1 factor, 54.4 bits, 0.00000260% 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
2090511749	23810841019616543	17	54.402	5694979 31 × 183709	2014-08-21	31	183709	1.692e-6	2.2460	4.1826

P-1 results:
No P-1 results for M2090511749

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-30			2⁵⁴	2⁵⁵	23810841019616543	54.402	17	5.43919e-7	119,913	1.13110e-6

ECM factoring results:
No ECM results for M2090511749

Lucas-Lehmer results:
No L-L results for M2090511749

PRP results:
No PRP results for M2090511749

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

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶³

2⁵⁵

this exponent TF target: 89

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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