Could someone show me a proof for(if there is one):
The number 2^p-1 has factors in the form of 2pk+1
where k is any positive integer.
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I've noticed that with any odd number you can make the formula x^2 -
y^2 = n where n = the odd number and x - y and x + y are factors of n.
I was just wondering if one could use the graph of a hyperbola to see
only the possible integer values of x and y.
Has it been proven that all mersenne numbers greater than one are
square free?
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