Some prime numbers satisfying Pomerance's requirements from his 1984 "Dopo" Paper.
Special prime numbers
2025
Subject: Number Theory
DOI: 10.5281/zenodo.16910693
Details
Description
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.
Publication Date: Aug. 20, 2025
Creators/Owners
Debug: Alles
Autoren: Bauer M
Datum: Aug. 8, 2025
Year: 2025
Beschreibung: 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.
Subject: Number Theory
Verf: 320704969
Publ-Datum: Aug. 20, 2025
Datentyp: 243211245
Anderer Datentyp: Special prime numbers
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