First numbers that belong to both sets:
3,
5,
9,
33,
161,
353,
545,
737,
929,
52225,
56065,
96769,
731137,
1259521,
1863681,
3346433,
3950593,
7520257,
9003009,
169000961,
374505473,
583696385,
984383489,
12764446721,
16771317761,
31122522113,
56257675265,
188683386881,
946783387649.