(2k)^2=4k^2=2N

(2k+1)^2=4k^2+4k+1=2N+1

(2k)^3=8k^3=2N

(2k+1)^3=8k^3+12k^2+6k+1=2N+1

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(3k)^2=9k^2=3N

(3k+1)^2=9k^2+6k+1=3N+1

(3k+2)^2=9k^2+12k+4=3N+1

(3k)^3=27k^3=3N

(3k+1)^3=27k^3+27k^2+9k+1=3N+1

(3k+2)^3=27k^3+54k^2+36k+8=3N+2

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(4k)^2=4N

(4k+1)^2=4N+1

(4k+2)^2=4N

(4k+3)^2=4N+1

(4k)^3=4N

(4k+1)^3=4N+1

(4k+2)^3=4N

(4k+3)^3=4N+3

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(5k)^2=5N

(5k+1)^2=5N+1

(5k+2)^2=5N+4

(5k+3)^2=5N+4

(5k+4)^2=5N+1

(5k)^3=5N

(5k+1)^3=5N+1

(5k+2)^3=5N+3

(5k+3)^3=5N+2

(5k+4)^3=5N+4

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