Do you have any references on the statistical properties of the primes % 4 sequence? When converted to coin flips, primes % 4 fails the statistical randomness t

Do you have any references on the statistical properties of the primes % 4 sequence? When converted to coin flips, primes % 4 fails the statistical randomness tests at http://faculty.rhodes.edu/wetzel/random/mainbody.html http://faculty.rhodes.edu/wetzel/random/mainbody.html See results at http://imgur.com/iaHBNNr http://imgur.com/iaHBNNr ("Your nth attempt" is primes % 4, "Coin nth attempt" is the Marsaglia PRNG). Note that primes % 4 has too many runs, its prob(H given H) is too low, and its prob(H given T) is too high.