Non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8
The author proves that if \(p_1, \ldots, p_\ell\) are distinct primes satisfying \(p_i \equiv 3 \pmod 8\) and \((p_j/p_i) =-1\), \(j<i\), then the product \(p_1\ldots p_\ell\) is not a congruent number. A consequence of this result is the existence of an infinite sequence of distinct primes congruent to 3 modulo 8 such that any product of these primes is a non-congruent number.
scientific article; zbMATH DE number 993539