Regarding the Jacobi symbol, suppose I want to find which positive odd integers that relatively prime to a prime p such as 13 i.e.
?
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I understand that to do composite integers such as
From here, we want (2/p) = (5/p) = 1 or (2/p) = (5/p) = -1.
and
Then by the Chinese Remainder Theorem, then
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Similarly, how would you solve for big numbers such as 1040 in the simplest way? i.e. which positive odd integers n such that (1040, n) = 1 and (1040/n) = 1?
Thank you for reading. Any help is greatly appreciated.