First numbers that belong to both sets:
2,
3,
5,
7,
11,
31,
41,
43,
53,
61,
71,
73,
83,
97,
211,
311,
331,
421,
431,
433,
443,
521,
541,
631,
641,
643,
653,
661,
733,
743,
751,
761,
773,
811,
821,
853,
863,
877,
881,
883,
887,
911,
941,
953,
971,
977,
983,
991,
997,
2111,
2221,
3221,
3331,
4111,
4211,
4421,
4441,
5333,
5431,
5441,
5443,
5521,
5531,
6211,
6221,
6311,
6421,
6521,
6551,
6553,
6653,
6661,
7211,
7321,
7331,
7333,
7411,
7433,
7541,
7621,
7643,
7741,
7753,
8111,
8221,
8311,
8431,
8443,
8521,
8543,
8641,
8663,
8731,
8741,
8753,
8761,
8821,
8831,
8861,
8863,
8887,
9221,
9311,
9421,
9431,
9433,
9511,
9521,
9533,
9551,
9631,
9643,
9661,
9721,
9733,
9743,
9811,
9833,
9851,
9871,
9883,
9887,
9931,
9941,
9973,
22111,
33211,
33311,
33331,
42221,
43321,
43331,
44111,
44221,
54311,
54331,
54421,
54443,
55331,
55333,
55411,
55441,
55511,
55541,
63211,
63311,
63331,
64333,
64433,
65111,
65521,
65543,
65551,
66221,
66431,
66533,
66541,
66553,
66643,
66653,
72211,
72221,
73331,
74311,
74411,
74441,
75211,
75431,
75511,
75521,
75533,
75541,
75553,
76333,
76421,
76441,
76511,
76541,
76543,
76631,
76651,
77431,
77521,
77543,
77551,
77611,
77621,
77641,
77711,
77731,
77743,
77761,
77773,
83221,
83311,
84211,
84221,
84421,
84431,
84443,
85331,
85333,
85411,
85531,
86111,
86311,
86441,
86531,
86533,
87211,
87221,
87421,
87433,
87443,
87511,
87541,
87553,
87631,
87641,
87643,
87721,
87743,
87751,
88211,
88321,
88411,
88643,
88651,
88661,
88663,
88721,
88741,
88771,
88811,
88843,
88853,
88861,
88873,
88883,
92111,
92221,
94111,
94321,
94331,
94421,
94433,
94441,
95111,
95311,
95441,
95443,
95531,
96211,
96221,
96331,
96431,
96443,
96553,
96643,
96661,
97441,
97511,
97553,
97651,
97711,
97771,
97777,
98221,
98321,
98411,
98443,
98533,
98543,
98621,
98641,
98663,
98711,
98731,
98773,
98873.
Some larger examples :
999999996311,
999999997433,
999999997621,
999999997721,
999999997753,
999999997771,
999999998311,
999999998441,
999999998531,
999999998533,
999999998611,
999999998761,
999999998771,
999999998821,
999999998863,
999999999331,
999999999611,
999999999863,
999999999877,
999999999961.