The abc-conjecture is true for at least N(c), 1 ≤ N(c) <φ(c)/2, partitions a, b of c
Abstract
We prove that for any positive integer c there are at least N(c), 1≤ N(c) < φ(c)/2 representations of c as a sum of two positive integers a, b, with no common divisor, such that the N(c) radicals R(abc) are all greater than kc, where k an absolute constant.
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