Mersenne Primes (20 Nov 06)

To learn about Mersenne primes, visit GIMPS or MathWorld.


Wincalc will calculate and display these huge numbers. If you want to be able to see all the digits of a particularly large Mersenne prime, but do not want to tie up your computer for a couple of days, you can download self-extracting zip files (which are not kept on this server):

The 44th Mersenne prime M32582657 is a 9808358-digit number. (4.32M)

The 43rd Mersenne prime M30402457 is a 9152052-digit number. (4.03M)

The 42nd Mersenne prime M25964951 is a 7816230-digit number. (3.44M)

The 41st Mersenne prime M24036583 is a 7235733-digit number. (3.19M)

The 40th Mersenne prime M20996011 is a 6320430-digit number. (2.79M)

The 39th Mersenne prime M13466917 is a 4053946-digit number. (1.80M)

The 38th Mersenne prime M6972593 is a 2098960-digit number. (969K)

The 37th Mersenne prime M3021377 is a 909526-digit number. (435K)

The 36th Mersenne prime M2976221 is a 895932-digit number. (429K)

The 35th Mersenne prime M1398269 is a 420921-digit number. (216K)

The 34th Mersenne prime M1257787 is a 378632-digit number. (197K)

The 33rd Mersenne prime M859433 is a 258716-digit number. (144K)

The 32nd Mersenne prime M756839 is a 227832-digit number. (130K)


Smaller Mersenne primes can be calculated more quickly than they can be downloaded.

The 31st Mersenne prime M216091 is a 65050-digit number.

The 30th Mersenne prime M132049 is a 39751-digit number.

The 29th Mersenne prime M110503 is a 33265-digit number.

The 28th Mersenne prime M86243 is a 25962-digit number.

The 27th Mersenne prime M44497 is a 13395-digit number.

The 26th Mersenne prime M23209 is a 6987-digit number.

The 25th Mersenne prime M21701 is a 6533-digit number.

The 24th Mersenne prime M19937 is a 6002-digit number.

The 23rd Mersenne prime M11213 is a 3376-digit number.

The 22nd Mersenne prime M9941 is a 2993-digit number.

The 21st Mersenne prime M9689 is a 2917-digit number.

The 20th Mersenne prime M4423 is a 1332-digit number.

The 19th Mersenne prime M4253 is a 1281-digit number.

The 18th Mersenne prime M3217 is a 969-digit number.

The 17th Mersenne prime M2281 is a 687-digit number.

The 16th Mersenne prime M2203 is a 664-digit number.

The 15th Mersenne prime M1279 is a 386-digit number.

The 14th Mersenne prime M607 is a 183-digit number.

The 13th Mersenne prime M521 is a 157-digit number.

The 12th Mersenne prime M127 is a 39-digit number.

The 11th Mersenne prime M107 is a 33-digit number.

The 10th Mersenne prime M89 is a 27-digit number.

The 9th Mersenne prime M61 is a 19-digit number.

The 8th Mersenne prime M31 is a 10-digit number.

The 7th Mersenne prime M19 is a 6-digit number.

The 6th Mersenne prime M17 is a 6-digit number.

The 5th Mersenne prime M13 = 8191 is a 4-digit number.

The 4th Mersenne prime M7 = 127 is a 3-digit number.

The 3rd Mersenne prime M5 = 31 is a 2-digit number.

The 2nd Mersenne prime M3 = 7 is a 1-digit number.

The 1st Mersenne prime M2 = 3 is a 1-digit number.