This number is a prime.
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In the range of primes from 2 to 2^32, the largest disparity between the count of the primes 4k+3, K3, against the count of the primes 4k+1, K1, occurs at the prime 3754923647. At this point, K3-K1=5467 is a maximum in favor of the primes 4k+3, in the whole range. [Rivera]