A224845 Integer lengths of the Mills primes A051254.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..15.

Eric Weisstein's World of Mathematics, Mills' Prime

Example

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

Crossrefs

Cf. A051254 (Mills primes).

Cf. A108739 (b_n associated with Mills primes).

Sequence in context: A060315 A148111 A148112 * A148113 A243814 A005505

Adjacent sequences: A224842 A224843 A224844 * A224846 A224847 A224848

Keyword

nonn,base,more

Author

Eric W. Weisstein, Jul 22 2013

Extensions

a(14)-a(15) from Serge Batalov, Apr 30 2024

Status

approved