MBNA Does Smooth Numbers

MathWorld.Wolfram.com::Smooth number

	2	A000079	1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ...
	3	A003586	1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, ...
	5	A051037	1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, ...
	7	A002473	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, ...
	11	A051038	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, ...

On 4 January 2016, the MBNA (MathBabbler Number Analyst) was modified to print the smooth value of a number.

Examples.

	2016 is a 7-smooth number
    314 is a 157-smooth number
	  32 is a 2-smooth number
	  11 is a 11-smooth number
	 842 is a 421-smooth number
	5000 is a 5-smooth number
Exercises
  1. The prime factorization for the number 842 is ____________________.

  2. No or Yes: If a number n is a n-smooth number, then n is a prime number.

  3. No or Yes: 2-smooth numbers are all powers of 2.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 03 January 2016 (posted 10 January 2016)

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 United States License.