Number of primes between consecutive partition numbers.

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =2a(8) =2a(9) =3a(10) =3a(11) =5a(12) =5a(13) =6a(14) =8a(15) =10a(16) =12a(17) =14a(18) =17a(19) =21a(20) =24a(21) =30a(22) =36a(23) =44a(24) =49a(25) =63a(26) =71a(27) =87a(28) =100a(29) =120