let N=1007⁵+1008⁵+1009⁵1010⁵ then the remainder when N is divided by (1007+1008+1009+1010)
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2) When n is divided by 2, the remainder is 1. Kudos for a correct solution. 1. Method 1: 8 is a multiple of 4. So when n is divided by 4 ...
Missing: 1007⁵+ 1008⁵+ 1009⁵1010⁵ (1007+ 1008+ 1009+ 1010)
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1)
9 / 8 = 1 remainder 1
17 / 8 = 2 remainder 1
9 / 4 = 2 remainder 1
16 / 4 = 4 remainder 1
Sufficient.
2)
9 / 2 = 4 remainder 1
17 / 2 = 8 remainder 1
9 / 4 = 2 remainder 1
17 / 4 = 4 remainder 1
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