Data type: Special prime numbers (2025)
Keywords: Number Theory
Availability: Public
Publication Date: Aug. 20, 2025
Licence: CC BY (Attribution)
Odd prime numbers $p_i$ such that - $p_i \mod 8 \equiv 3$ - $p_i \mod 5 \equiv 2 \; \text{or} \; 3 $ - $\frac{p_i -1}{2}$ factors squarefree into primes $r_j$ such that $r_j \mod 4 \equiv 1$ and $r_j < T$ - $\frac{p_i +1}{4}$ factors squarefree into primes $s_k$ such that $s_k \mod 4 \equiv 3$ and $s_k < T$ The numbers are sorted and labeled by their bounding T. The largest T considered is 1000003. There are 18415715 such primes in the dataset.