9-Apr-1995
Unsolved Problem 15:
Is every Mersenne number square free?
A Mersenne number is a number of the form (2^p)-1
where p is a prime.
A prime is an integer larger than 1 whose only
positive divisors are 1 and itself.
An integer is said to be square free if it is not
divisible by a perfect square, n^2, for n>1.
Reference:
- [Ribenboim 1988]
- Paulo Ribenboim,
The Book of Prime Number Records.
Springer-Verlag. New York: 1988.
Page 80.
Square Free Mersenne Numbers
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