n-2 n n+2 only one of it is divisible 3 this can similarly extended to 5 where difference were 4 .I want to ask is there a generalized statement

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Please bear with me . I am new . All in question. I haven all information in the question. n is integer. I am new but I observed so asking. n-2 n n+2 only one of it is divisible 3 this can similarly extended to 5 where difference were 4 .I want to ask is there a generalized statement

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score -2 · Answer 1 · answered Sep 09 '23 at 15:41

-2

Take as an example the sequence k+b1, k+b2, k+b3, k+b4, k+b5 and k+b6. Calculate b1 mod 5, b2 mod 5, …, b6 mod 5. If there are five different results then one of the numbers is divisible by 5, no matter what k is. If there is no number say with bi mod 5 = 4, then no number is divisible by 5 if k=1, 6, 11, 16, 21 etc.

answered Sep 09 '23 at 15:41

gnasher729

10,113

For 5 difference is 4 – ParamTatva Sep 10 '23 at 01:47

n-2 n n+2 only one of it is divisible 3 this can similarly extended to 5 where difference were 4 .I want to ask is there a generalized statement

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