- #1

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how to prove

If 7|(a^2+b^2) then 7|a and 7|b.

*(If seven divides a^2+b^2 then seven divides a and seven divides b)*

Thanks.

- Thread starter lukaszh
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- #1

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how to prove

If 7|(a^2+b^2) then 7|a and 7|b.

Thanks.

- #2

tiny-tim

Science Advisor

Homework Helper

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(try using the X

Hint: what are 1

how to prove

If 7|(a^2+b^2) then 7|a and 7|b.

(If seven divides a^2+b^2 then seven divides a and seven divides b)

Thanks.

- #3

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2

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7

Is it periodic {1,4,2,2,4,1,0} ? Now I know :-) It's periodic, so if I add any of these congruences together there will be some remainder. Remainder is zero if and only if I add congruences in form

(7k)

(7j)

THANX :-)

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