Difference between revisions of "Deficient number"
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[[Deficient number/Introductory Problem 2|Solution]] | [[Deficient number/Introductory Problem 2|Solution]] | ||
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Revision as of 12:32, 9 February 2018
A Deficient number is a number 
for which the sum of 's proper factors is less than . For example, 22 is deficient because its proper factors sum to 14 < 22. The smallest deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, and 17.
Problems
Introductory
Problem 1
Prove that all prime numbers are deficient.
Problem 2
Prove that all powers of prime numbers are deficient.
