Primes, starting with a(1)=2, whose successive differences are increasing triangular numbers.

Terms

a(0) =2a(1) =3a(2) =13a(3) =41a(4) =107a(5) =227a(6) =503a(7) =881a(8) =1409a(9) =2039a(10) =2819a(11) =3947a(12) =5273a(13) =6869a(14) =8699a(15) =11549a(16) =15377a(17) =19937a(18) =24593a(19) =30809a(20) =38069a(21) =47939a(22) =58379a(23) =69257a(24) =82787a(25) =98897a(26) =115733a(27) =133499a(28) =152027a(29) =172127