M2 854 619 519 Mersenne number exponent details

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is 2 ^2854619519 - 1

has 859326102 decimal digits

takes 494,635.519 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	2⁶⁸	0.0209	52.9412%	-	-	-	-	0.0209	52.9412%
Target	2⁹⁰	87,837.8141	64.4444%	15000000	4500000000	65,162.8370	4.4484%	153,000.6511	66.0261%
Difference	-22	-87,837.7932	-11.5033%	-15000000	-4500000000	-65,162.8370	-4.4484%	-153,000.6302	-13.0849%

Known prime factors (1 factor, 50.6 bits, 0.00000177% 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
2854619519	1665864603463793	16	50.565	291784 2³ × 36473	2013-08-26	8	36473	9.057e-8	0.5012	0.9326

P-1 results:
No P-1 results for M2854619519

Trial Factoring results:
No TF results for M2854619519

ECM factoring results:
No ECM results for M2854619519

Lucas-Lehmer results:
No L-L results for M2854619519

PRP results:
No PRP results for M2854619519

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

10⁰

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 90

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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