Consider two series a: 1,2,3,5… and b: 4,9,14,19,24.. defined as follows:
a(n) is the smallest positive integer not appearing in the set
( a(1),a(2),a(3),…a(n1),…b(1),b(2),b(3),…b(n1)).
b(n)=5n1
Evaluate a(2014) .
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