Pentagonal numbers which are the arithmetic mean of two consecutive primes.

Terms

a(0) =12a(1) =176a(2) =376a(3) =532a(4) =590a(5) =3015a(6) =4510a(7) =4676a(8) =7315a(9) =7526a(10) =7957a(11) =8855a(12) =12650a(13) =15555a(14) =17120a(15) =19437a(16) =20126a(17) =22265a(18) =25676a(19) =29330a(20) =30175a(21) =40755a(22) =48510a(23) =54626a(24) =78547a(25) =82017a(26) =91390a(27) =97410a(28) =101270a(29) =102051