A miserly billionaire stores UK coins in a giant silo to avoid paying tax. Coins are released by turning a giant crank attached to the silo, but only one coin is released for each turn of the crank. The billionaire requires 60 coins of identical value. Assuming that the silo contains an infinite supply of coins of every possible denomination in standard circulation (ignoring any special commemorative coins), how many turns of the crank are needed to guarantee this?

Mathsbombe Competition 2017 is organised by the The Department of Mathematics at The University of Manchester.
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