All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 A frugal sequence (Posted on 2012-09-14)
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

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(4): Solution Comment 13 of 13 |
(In reply to re(3): Solution by Charlie)

C l a r i f i c a t I o n

A number  N  is called frugal if the number of digits in its prime factorization (including exponents greater than 1) is smaller than the number of digits of N.

A number  N  is called equidital  if the number of digits in its prime factorization (including exponents greater than 1) is equal to the number of digits of   N.

For example,  2048=2^11  is frugal.

The union of frugal and equidigital numbers gives economical  numbers.

Some authors call the frugal numbers economical.

Every number greater than 1923 can be written as a sum of frugal numbers.

Edited on March 18, 2017, 11:12 am
 Posted by Ady TZIDON on 2017-03-18 10:45:24

 Search: Search body:
Forums (0)