Difference between revisions of "M39"

Latest revision as of 11:14, 18 February 2019

M39
Prime class :
Type :	Mersenne prime
Formula :	M_n = 2ⁿ - 1
Prime data :
Rank :	39
n-value :	13,466,917
Number :	924947738006...470256259071
Digits :	4,053,946
Perfect number :	2^13,466,916 • (2^13,466,917-1)
Digits :	8,107,892
Discovery data :
Date of Discovery :	2001-11-14
Discoverer :	Michael Cameron
Found with :	Lucas-Lehmer test / Prime95 on 800 MHz Athlon Thunderbird
Credits :	George Woltman et. al. GIMPS

M39 is the short hand used to refer to the 39th Mersenne prime. Specifically it is 2^13,466,917-1. This number was discovered to be prime on 2001-11-14 by Michael Cameron, using Prime95 written by George Woltman. The number is 4,053,946 decimal digits long.

This prime number was the fifth record prime found by the GIMPS project.

@@ Line 1: / Line 1: @@
-'''M39''' is the short hand used to refer to the 39th [[Mersenne prime]]. Specifically it is <math>2^{13\,466\,917}-1</math>. This number was discovered to be [[prime]] on 2001-11-14 by [[Michael Cameron]], using [[Prime95]] written by [[George Woltman]]. The number is [http://www.mersenneforum.org/txt/39.txt 4 053 946 decimal digits] long.
+{{InfoboxMersennePrime
+| title=M39
+| rank=39
+| nvalue=13466917
+| top5000id=1
+| digits=4053946
+| number=924947738006...470256259071
+| pdigits=8107892
+| discovery=2001-11-14
+| discoverer=[[Michael Cameron]]
+| foundwith=[[Lucas-Lehmer test]] / [[Prime95]] on 800 MHz Athlon Thunderbird
+| credits=[[George Woltman]] et. al.;[[GIMPS]]
+}}
+'''M39''' is the short hand used to refer to the 39th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|13466917}}</sup>-1. This number was discovered to be [[prime]] on 2001-11-14 by [[Michael Cameron]], using [[Prime95]] written by [[George Woltman]]. The number is [http://www.mersenneforum.org/txt/39.txt {{Num|4053946}} decimal digits] long.
 This prime number was the fifth record prime found by the [[GIMPS]] project.