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Sunday, December 5, 2010

Mathematical curiosity

The first few powers of 5 share a curious property — their digits can be rearranged to express their value:

25 = 52
125 = 51 + 2
625 = 56 – 2
3125 = (3 + (1 × 2))5
15625 = 56 × 125
78125 = 57 × 182

It’s conjectured that all powers of 5 have this property. But no one’s proved it yet.

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