Denominators of upper primes-only best approximates (POBAs) to e; see Comments.

Terms

a(0) =2a(1) =5a(2) =7a(3) =11a(4) =17a(5) =29a(6) =71a(7) =4139a(8) =5573a(9) =6361a(10) =9293a(11) =17159a(12) =18089a(13) =2246039a(14) =3135403a(15) =3245939a(16) =15812647a(17) =23302423a(18) =35724419a(19) =36032933a(20) =52372163a(21) =107537039a(22) =133106593a(23) =167870293a(24) =249402641a(25) =260192623a(26) =427246909a(27) =475992263a(28) =736166797a(29) =1184975581