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Number Theory Level 2

If Soldier: 76 wanted to show the other Overwatch characters that he was in his PRIME, what could he change his name to?

Soldier: 72 Soldier: 77 Soldier: 75 Soldier: 73

Nicholas Weaver by Nicholas Weaver , 18, USA

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2 solutions

X X
Aug 19, 2018

72 = 2 3 × 3 2 72=2^3\times3^2

73 = 73 73=73

75 = 3 × 5 2 75=3\times5^2

77 = 7 × 11 77=7\times11

So, only 73 73 is a prime.

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Nicholas Weaver
Aug 18, 2018

73 is the only prime-numbered option.

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