M43

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M43
Prime class :
Type : Mersenne prime
Formula : Mn = 2n - 1
Prime data :
Rank : 43
n-value : 30,402,457
Number : 315416475618...411652943871
Digits : 9,152,052
Perfect number : 230,402,456 • (230,402,457-1)
Digits : 18,304,103
Discovery data :
Date of Discovery : 2005-12-15
Discoverer : Curtis Cooper
Steven Boone
Found with : Lucas-Lehmer test / Prime95 on 2 GHz Pentium 4 PC
Credits : George Woltman et. al.
GIMPS

M43 is the short hand used to refer to the 43rd Mersenne prime 230,402,457-1.

The number is 9,152,052 decimal digits long.

Discovery

M43 was discovered to be prime on 2005-12-15 by Curtis Cooper and Steven Boone, using Prime95 written by George Woltman. At time of its discovery, it was the largest known prime.

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

Verification

The new prime was independently verified:

  • by Tony Reix of Bull S.A. in Grenoble, France, in 5 days using 16 Itanium2 1.5 GHz CPUs of a Bull NovaScale 6160 HPC at Bull Grenoble Research Center, running the Glucas program;
  • by Jeff Gilchrist of Elytra Enterprises Inc. in Ottawa, Canada, in 14 days using 14 CPUs of a Compaq Alpha GS160 1.2 GHz CPU server at SHARCNET.

External links