Let be a fundamental discriminant and be the class number of the imaginary quadratic field . Let be the number of the classes of the binary quadratic forms of discriminant which represent a prime number in the interval . Moreover, assume that is the number of primes which split in with norm in the interval . We prove that
where is the number of the primes is the number of primes in the interval  and the implicit constant in is independent of and .
Cite this article
Naser Talebizadeh Sardari, The least prime number represented by a binary quadratic form. J. Eur. Math. Soc. 23 (2021), no. 4, pp. 1161–1223DOI 10.4171/JEMS/1031