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A frugal sequence (Posted on 2012-09-14) Difficulty: 3 of 5
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

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

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Hints/Tips 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

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