First numbers that belong to both sets:
101,
307,
311,
1009,
1213,
2521,
3821,
5413,
5623,
6029,
6521,
7411,
8513,
8521,
9413,
10007,
16411,
16417,
16823,
16829,
17317,
20717,
24917,
27427,
29833,
30011,
31121,
33311,
35729,
41011,
45817,
46021,
48731,
50821,
51109,
56431,
61211,
69827,
70823,
73327,
73517,
73523,
74017,
79031,
79133,
79531,
84121,
84127,
85427,
91121,
91127,
92219,
92623,
98837,
101107,
101111,
103511,
111409,
113011,
116923,
120811,
120817,
120823,
127031,
131413,
132511,
132523,
134033,
136027,
136319,
136327,
148627,
157013,
159623,
160619,
168433,
175621,
175631,
175829,
175837,
176317,
176327,
181717,
184823,
184829,
185519,
185527,
185531,
189127,
189337,
190523,
195023,
197233,
205019,
205817,
217111,
218417,
224027,
227011,
236627,
243421,
244121,
246119,
250619,
253531,
254623,
262121,
264527,
264731,
274829,
288929,
289019,
289837,
300623,
312023,
312029,
316031,
324011,
324419,
324427,
334319,
336029,
336521,
336527,
339631,
350729,
360817,
360821,
361313,
361321,
371213,
371227,
371831,
374029,
374039,
382229,
383519,
389527,
389743,
391627,
392033,
405211,
405221,
413521,
414013,
414017,
414629,
416821,
417113,
417719,
426527,
426731,
463823,
467431,
486037,
486041,
486323,
487423,
487427,
487637,
493121,
493931,
503123,
505027,
512521,
515227,
516127,
540041,
545521,
545527,
556037,
567937,
579239,
580627,
580631,
599231,
602029,
606721,
606731,
611921,
631121,
639937,
643421,
644029,
644117,
644123,
652229,
657929,
668527,
668531,
669637,
669839,
678023,
683231,
686729,
691037,
691531,
699037,
699943,
718321,
718331,
719633,
723029,
728627,
728639,
730727,
744637,
745529,
745931,
759431,
764837,
783119,
783527,
789941,
790327,
793439,
803227,
822113,
822517,
837929,
838021,
846323,
846943,
863633,
863833,
864029,
872017,
874637,
877739,
904019,
904619,
904627,
904633,
914117,
914321,
916031,
923123,
923333,
937627,
937633,
940223,
947327,
948839,
949931,
949937,
957031,
958327,
958333,
958339,
989743,
989749,
1040021,
1041109,
1055827,
1067327,
1089941,
1090127,
1099031,
1123211,
1123217,
1126313,
1130621,
1146323,
1146329,
1148933,
1155527,
1160111,
1173937,
1174231,
1174423,
1208017,
1210711,
1235021,
1243927,
1243933,
1245527,
1256531,
1262617,
1278323,
1278337.
Some larger examples :
99466057,
99533437,
99533449,
99537439,
99547051,
99547949,
99547957,
99551839,
99589157,
99591643,
99591647,
99754339,
99795251,
99795649,
99798359,
99830651,
99832043,
99855137,
99859147,
99904439.