CTK Insights

26 Nov

3² + 4² = 5²

3² + 4² = 5² is the first and the simplest member in an infinite sequence if the Pythagorean triples. It is also the first and the simplest member in an infinite sequence of identities of the sums of successive squares, the next ones being

10² + 11² + 12² = 13² + 14²,

21² + 22² + 23² + 24² = 25² + 26² + 27².

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