Extrapolation for (n + 1)-st prime made by fitting least-degree polynomial to first n primes.

Terms

a(0) =2a(1) =4a(2) =8a(3) =8a(4) =22a(5) =-6a(6) =72a(7) =-92a(8) =266a(9) =-426a(10) =838a(11) =-1172a(12) =1432a(13) =-398a(14) =-3614a(15) =15140a(16) =-41274a(17) =95126a(18) =-195698a(19) =370876a(20) =-652384a(21) =1063442a(22) =-1570116a(23) =1961852a(24) =-1560168a(25) =-1401888a(26) =11023226a(27) =-36000318a(28) =93408538a(29) =-214275608