{"app":{"locale":"en-GB"},"problem":{"content":"

We shall call a positive integer A an \"Alexandrian integer\", if there exist integers p, q, r such that:

A = p · q · r and

A

p

q

r

For example, 630 is an Alexandrian integer (p = 5, q = −7, r = −18).In fact, 630 is the 6^th Alexandrian integer, the first 6 Alexandrian integers being: 6, 42, 120, 156, 420 and 630.

Find the 150000^th Alexandrian integer.

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