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Prime Race: 4k+1 vs 4k+3

p ≡ 1 (mod 4): 0
p ≡ 3 (mod 4): 0
Leader: -

Chebyshev's Bias

Primes of form 4k+3 (cyan) tend to outnumber 4k+1 primes (red) despite being asymptotically equal. This "prime race" was first noticed by Chebyshev in 1853.

Prime Classes (mod 4)

p ≡ 1 (mod 4) - e.g., 5, 13, 17
p ≡ 3 (mod 4) - e.g., 3, 7, 11
p = 2 (special case)