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[" Prove that if a positive integer is o...

[" Prove that if a positive integer is of the form "6q+5," then it is of the form "3q+2" for some "],[" integer "q," but not conversely."]

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Prove that the square of any positive integer of the form 5q+1 is of the same form.

Prove that the square of any positive integer of the form 5q+1 is of the same form.

Show that any positive even integer is of the form 6q, 6q+2 ,6q+4.

Any positive integer cannot be of the form ( q in N )

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5, where q is some integer.

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Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q +1 for some integer q.

Prove that the square of any positive integer of the form 5q +1 will be in the same form.

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

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