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Search: Posts Made By: Viliam Furik
Forum: Number Theory Discussion Group 2020-09-05, 23:16
Replies: 4
Views: 3,656
Posted By Viliam Furik
All Mersenne numbers Mp are square free (maybe)

Suppose there is a factor q of Mp, q = 2*k*p+1, which is a square of x (x also has to be a factor of Mp):

2*k*p+1 = x2
2*k*p = x2 - 1
2*k*p = (x - 1)(x + 1)

Let y = x - 1

2*k*p = y(y + 2)...
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