(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2-1)(2+1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^-1)(2^2+1)(2^4+1)…(2^32+1)+1
=(2^4-1)(2^4+1)…(2^32+1)+1
=.
=2^32-1+1
=2^32
∵2^32的个位数是：4,6 ,6 6 ...
∴(2+1)(2^2+1)(2^4+1)…(2^32+1)+1的个位数字是6