%I #15 May 01 2024 06:40:44

%S 1,2,4,10,29,85,254,762,2285,6854,20562,61684,185052,555154,1665461

%N Integer lengths of the Mills primes A051254.

%C Because of the precision of the known Mills' primes and PRPs, it is easy to safely assign decimal lengths of the Mills primes for yet undefined terms (at least another 20-30 terms; they are infinitesimally little offset from successive cubed values). Adding only two terms because these are currently known precisely. - _Serge Batalov_, Apr 30 2024

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MillsPrime.html">Mills' Prime</a>

%e The first few Mills primes are 2, 11, 1361, 2521008887, ... which have integer lengths (= number of decimal digits) of 1, 2, 4, 10, ....

%Y Cf. A051254 (Mills primes).

%Y Cf. A108739 (b_n associated with Mills primes).

%K nonn,base,more

%O 1,2

%A _Eric W. Weisstein_, Jul 22 2013

%E a(14)-a(15) from _Serge Batalov_, Apr 30 2024