a(n) = number of primes of the form P(k) = k^2 + 1 <= 10^n as predicted by the Hardy and Littlewood Conjecture F, rounded to nearest integer. The actual number of primes is A083844(n).
A331942
a(n) = number of primes of the form P(k) = k^2 + 1 <= 10^n as predicted by the Hardy and Littlewood Conjecture F, rounded to nearest integer. The actual number of primes is A083844(n).
Terms
- a(0) =1a(1) =4a(2) =9a(3) =20a(4) =48a(5) =121a(6) =317a(7) =855a(8) =2356a(9) =6609a(10) =18787a(11) =53970a(12) =156385a(13) =456404a(14) =1340088a(15) =3955219a(16) =11726332a(17) =34903256a(18) =104251560a(19) =312353236a(20) =938461459a(21) =2826668497a(22) =8533343468a(23) =25814350227a(24) =78239112814a(25) =237541788793a(26) =722354115787
External references
- oeis: A331942