Least number of consecutive primes beginning with 2, the sum of which (A007504) exceeds e^n.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =11a(6) =17a(7) =26a(8) =40a(9) =62a(10) =96a(11) =151a(12) =238a(13) =376a(14) =596a(15) =947a(16) =1508a(17) =2407a(18) =3849a(19) =6167a(20) =9895a(21) =15899a(22) =25578a(23) =41198a(24) =66429a(25) =107215a(26) =173198a(27) =280014a(28) =453053a(29) =733544