Verified Answer :

caylus

Hello,

Let's n the number reseached.
n=3a+2 ==>n-2=3a
n=4b+2 ==>n-2=4b
n=5c+2 ==>n-2=5c

n-2 is the LCM (lower commun multiple) of 3,4,5 thus 60
and n=60+2=62

Proof:
62=320+2
62=415+2
62=512+2


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