M521 Mersenne number exponent details

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is 2 ⁵²¹ - 1

has 157 decimal digits

takes 0.000 GHz-days to do one PRP test

Is a Mersenne Prime!

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

Verified Mersenne Prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	unknown			1000000	100000000	0.0001	21.6150%	0.0001	21.6150%
Target	2⁴⁴	0.0045	77.2727%	500	10000	0.0000	0.4867%	0.0045	77.3833%
Difference	-44	-0.0045	-77.2727%	+999500	+99990000	+0.0001	+21.1283%	-0.0044	-55.7684%

Known prime factors:
None — M521 is prime!

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2002-03-03	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	9.42552e-5	-	-	21.615%
2003-12-02	ANONYMOUS	v4_computers	1000000	100000000		-		-	-	9.42552e-5	-	-	21.615%

Trial Factoring results:
No TF results for M521

ECM factoring results:
No ECM results for M521

Lucas-Lehmer results:
No L-L results for M521

PRP results:
No PRP results for M521

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

B1 = 1000000, B2 = 100000000 (P-1 stage 2)

B1 = 1000000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁷

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

TF factor-bounds graph:

this exponent TF target: 44

TF double-checked to: 67.8

2⁵⁰

Last modified: 2023-04-26T21:34:10+00:00