First numbers that belong to both sets:
3,
5,
7,
13,
17,
23,
29,
37,
53,
59,
67,
73,
79,
83,
97,
311,
313,
317,
337,
353,
367,
373,
379,
383,
397,
523,
593,
599,
613,
617,
653,
673,
683,
719,
733,
739,
773,
797,
823,
853,
883,
937,
953,
967,
983,
997.