Find the longest(?) string of consecutive frugal numbers.

Def: A frugal number is a natural number that has more digits than the number of digits in its prime factorization (including exponents). For example, 128=2^7 and 29282=2*11^4

(In reply to interesting side topic -- economical numbers by Charlie)

Charlie,

The sequence of nine numbers beginning at 10,990,312 are mostly EXTRAVAGANT numbers. Only 10990318 (factors 2 and 5495159), and the prime 10990319 are ECONOMICAL.
Not stated explicitly as the first sequence, the Prime Pages imply that the first sequence of nine ECONOMICAL numbers begins at 1,034,429,177,995,381,247.

Posted by Dej Mar on 2012-09-15 06:40:03