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Fun primes (Posted on 2017-11-14) |
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Let a fun number be a positive integer of the form 4x+1. Then, the fun numbers are 1, 5, 9, 13, 17, 21, 25, 29, 33, 37... Let a fun prime be a fun number that is not divisible by any fun number other than 1 and itself. For example, 5 is a fun prime. Also, even though 9=3*3, 9 is a fun prime because 3 is not a fun number. Now, every fun number can be factored into fun primes. For example, 25=5*5. Find the first fun number with more than one fun prime factorization.
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Submitted by Math Man
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Solution:
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441=9*49=21*21
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