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# Composite Notions

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Age 14 to 16

Challenge Level

A composite number is one that is neither prime nor 1.

Show that 10201 is composite in any base.

Likewise show that 10101 is composite in any base.

**Further Reading:** Learn About Number Bases by Toni
Beardon

Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The loser is the player who takes the last counter.