4×(5+1)(5^2+1)(5^4+1)(5^8+1)+1
=(5-1)(5+1)(5^2+1)(5^4+1)(5^8+1)+1
=(5^2-1)(5^2+1)(5^4+1)(5^8+1)+1
=(5^4-1)(5^4+1)(5^8+1)+1
=(5^8-1)(5^8+1)+1
=(5^16-1)+1
=5^16
4×(5+1)(5^2+1)(5^4+1)(5^8+1)+1
=(5-1)(5+1)(5^2+1)(5^4+1)(5^8+1)+1
=(5^2-1)(5^2+1)(5^4+1)(5^8+1)+1
=(5^4-1)(5^4+1)(5^8+1)+1
=(5^8-1)(5^8+1)+1
=(5^16-1)+1
=5^16
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