Numerators of lower primes-only best approximates (POBAs) to e; see Comments.

Terms

a(0) =5a(1) =13a(2) =19a(3) =307a(4) =443a(5) =617a(6) =2237a(7) =2411a(8) =2971a(9) =5923a(10) =7043a(11) =7603a(12) =11887a(13) =12659a(14) =15361a(15) =24103a(16) =75223a(17) =89021a(18) =128273a(19) =283949a(20) =423299a(21) =1169027a(22) =1587077a(23) =1830211a(24) =3062207a(25) =5080939a(26) =8481901a(27) =9366979a(28) =22675801a(29) =67090433