a(n) is the smallest prime p of the form 4k+3 such that nextprime(p) - p = 4n.

Terms

a(0) =7a(1) =359a(2) =199a(3) =1831a(4) =887a(5) =2179a(6) =2971a(7) =5591a(8) =9551a(9) =33247a(10) =15683a(11) =106543a(12) =25471a(13) =153191a(14) =43331a(15) =288583a(16) =372539a(17) =360091a(18) =873787a(19) =542603a(20) =637939a(21) =544279a(22) =1291691a(23) =860143a(24) =1313467a(25) =1388483a(26) =2238823a(27) =2637799a(28) =6695747a(29) =1895359