Rearrangement of triangular numbers such that sum of two consecutive terms is a prime.

Terms

a(0) =1a(1) =6a(2) =55a(3) =28a(4) =3a(5) =10a(6) =21a(7) =136a(8) =15a(9) =406a(10) =171a(11) =820a(12) =91a(13) =36a(14) =595a(15) =66a(16) =703a(17) =120a(18) =253a(19) =78a(20) =1225a(21) =496a(22) =45a(23) =946a(24) =105a(25) =1378a(26) =153a(27) =1540a(28) =741a(29) =2278