First numbers that belong to both sets:
23,
43,
47,
61,
83,
89,
229,
401,
443,
449,
467,
601,
647,
661,
683,
863,
2221,
2447,
4027,
4463,
4643,
6803,
8221,
8821,
26881,
220021,
228601,
282809,
282889,
408049,
464447,
626261,
800483,
806483,
2828809,
6866683,
8608081,
48804809.