Some prime numbers satisfying Pomerance's requirements from his 1984 "Dopo" Paper.

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.本数据集收录满足如下全部条件的奇素数$p_i$： 1. $p_i$ 模8余3； 2. $p_i$ 模5余2或3； 3. $frac{p_i -1}{2}$ 可被分解为若干素数$r_j$的无平方因子（squarefree）乘积，且每个$r_j$满足$r_j mod4 equiv1$且$r_j < T$； 4. $frac{p_i +1}{4}$ 可被分解为若干素数$s_k$的无平方因子（squarefree）乘积，且每个$s_k$满足$s_k mod4 equiv3$且$s_k < T$。 本数据集将按约束参数$T$进行排序并标注，所考察的最大$T$值为1000003。该数据集中共包含18415715个符合上述所有条件的素数。