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a(1)=3 because 2^3+3^3 = 5 * 7
a(2)=6 because 2^6+3^6 = 13 * 61
a(3)=7 because 2^7+3^7 = 5 * 463
a(4)=8 because 2^8+3^8 = 17 * 401
a(5)=10 because 2^10+3^10 = 13 * 4621
a(6)=11 because 2^11+3^11 = 5 * 35839
a(7)=12 because 2^12+3^12 = 97 * 5521
a(8)=14 because 2^14+3^14 = 13 * 369181
a(9)=16 because 2^16+3^16 = 3041 * 14177
a(10)=22 because 2^22+3^22 = 13 * 2414250301
a(11)=32 because 2^32+3^32 = 1153 * 1607133116929
a(12)=34 because 2^34+3^34 = 13 * 1282861452271981
a(13)=38 because 2^38+3^38 = 13 * 103911691734684541
a(14)=82 because 2^82+3^82 = 13 * 102329189594547549657540565413396038701
a(15)=83 because 2^83+3^83 = 5 * 798167678837469920188160718521149336927
a(16)=106 because 2^106+3^106 = 13 * 28900785585664327723593061693364968422740414514061
a(17)=128 because 2^128+3^128 = 257 * 45876204582640401445607833244277975113391731388650867226881
a(18)=149 because 2^149+3^149 = 5 * 24665899002341798194980052306171212216360861465143461865961807325057879
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