03/28/2016, 09:34 PM

A number theory post

Let p be a prime.

Consider the primes in [1,p(p+1)].

All residue classes a mod p occur in that interval.

Example

P = 5

Interval [1,5*6] = [1,30]

1 mod 5 : 11

2 mod 5 : 2,7,17

3 mod 5 : 3,13,23

4 mod 5 : 19,29

Regards

Tommy1729

Let p be a prime.

Consider the primes in [1,p(p+1)].

All residue classes a mod p occur in that interval.

Example

P = 5

Interval [1,5*6] = [1,30]

1 mod 5 : 11

2 mod 5 : 2,7,17

3 mod 5 : 3,13,23

4 mod 5 : 19,29

Regards

Tommy1729