a(n+1) is the smallest divisor of a(n)^2+1 that does not yet appear in the sequence, with a(1) = 1.

Terms

a(0) =1a(1) =2a(2) =5a(3) =13a(4) =10a(5) =101a(6) =5101a(7) =26a(8) =677a(9) =45833a(10) =65a(11) =2113a(12) =446477a(13) =130a(14) =16901a(15) =41a(16) =29a(17) =421a(18) =17a(19) =58a(20) =673a(21) =45293a(22) =25a(23) =313a(24) =97a(25) =941a(26) =34057a(27) =50a(28) =61a(29) =1861