First numbers that belong to both sets:
177,
225,
11265,
12545,
178689,
346113,
349185,
465921,
533505,
558081,
607233,
1029865473,
1408237569,
1458372609,
1753284609,
2350186497,
2635071489,
2964783105,
2970681345,
3076259841,
3126984705,
3296854017,
3421896705,
3492085761,
3589406721,
3612409857,
3748659201,
3870162945,
3958046721,
4296015873,
4350279681,
4623958017,
4720689153,
4809162753,
5048631297,
5432016897,
5478023169,
6025379841,
6781534209,
6803947521,
6831079425,
6983254017,
7013924865,
7102398465,
7135428609,
7410286593,
7491682305,
7604928513,
7653294081,
8047296513,
8346927105,
8450736129,
8612347905,
8736210945.