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4

Part of 1955 Miklós Schweitzer

Problems(1)

Miklós Schweitzer 1955- Problem 4

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9/30/2015
4. Find all positive integers α,β(α>1)\alpha , \beta (\alpha >1) and all prime numbers p,q,rp, q, r which satisfy the equation pα=qβ+rαp^{\alpha}= q^{\beta}+r^{\alpha} (α,β,p,q,r\alpha , \beta , p, q, r need not necessarily be different). (N. 12)
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