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Problem 291

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Panaitopol Primes

A prime number p is called a Panaitopol prime if $p=\frac{x^4-y^4}{x^3+y^3}$ for some positive integers x and y.

Find how many Panaitopol primes are less than 5×10¹⁵.

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帕纳伊托波尔素数

若素数p可以由正整数x和y表示为$p=\frac{x^4-y^4}{x^3+y^3}$，则称其为帕纳伊托波尔素数。

求出有多少小于5×10¹⁵的帕纳伊托波尔素数。

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