Remainder of Dividing By 5

Number Theory Level 3

Calculate the remainder of dividing $N = 1^{2007}+2^{2007}+3^{2007}+4^{2007}+5^{2007}+6 ^{2007} + \cdots + 2005^{2007}+2006^{2007}+2007^{2007}$ By $5$