Question

could anyone explain to me what does this mean?
a congruent b(mod p)

Answer 1

This means that when a is divided by p, then the remainder is b.

Answer 2

Do you need any more help?

Answer 3

Well i was reading sets and relations and this notation came up .
I doubt its got anything to do with mod as in remainder..Are you sure?

Answer 4

Yes, I am 100% sure. This can also be represented as:
\(a \mod{p} = b \)

Answer 5

In programming, \(a\% b = p\)

Answer 6

I still dont understand how could a relation be
a illmod p=b

Answer 7

another way to put it is \(a\equiv b (\text{ mod } n) \iff n|a-b\)

Answer 8

aah okay got it now .
Thank you ParthKohli and satellite73