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Question Number 118357 by conclaude last updated on 17/Oct/20
Find the sum of the prime factors of  20^5 +21.
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{prime}\:\mathrm{factors}\:\mathrm{of} \\ $$$$\mathrm{20}^{\mathrm{5}} +\mathrm{21}. \\ $$
Answered by MJS_new last updated on 17/Oct/20
20^5 +21=3200021=11×421×691  ⇒  answer is 1123
$$\mathrm{20}^{\mathrm{5}} +\mathrm{21}=\mathrm{3200021}=\mathrm{11}×\mathrm{421}×\mathrm{691} \\ $$$$\Rightarrow \\ $$$$\mathrm{answer}\:\mathrm{is}\:\mathrm{1123} \\ $$
Answered by 1549442205PVT last updated on 17/Oct/20
20^5 +21=3200021=11.421.691  The sum of prime divisors equal to  11+421+691=1123
$$\mathrm{20}^{\mathrm{5}} +\mathrm{21}=\mathrm{3200021}=\mathrm{11}.\mathrm{421}.\mathrm{691} \\ $$$$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{prime}\:\mathrm{divisors}\:\mathrm{equal}\:\mathrm{to} \\ $$$$\mathrm{11}+\mathrm{421}+\mathrm{691}=\mathrm{1123} \\ $$

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