Prove-or-disprove-that-If-p-k-0-n-3-k-n-gt-0-is-an-integer-then-p-is-prime-

Tinku Tara February 9, 2025 None 0 Comments

Question Number 216513 by CrispyXYZ last updated on 09/Feb/25

Prove or disprove that: If p=(√(Σ_(k=0) ^n 3^k )) (n>0) is an integer, then p is prime.

$$\mathrm{Prove}\:\mathrm{or}\:\mathrm{disprove}\:\mathrm{that}: \\ $$$$\mathrm{If}\:{p}=\sqrt{\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\mathrm{3}^{{k}} }\:\left({n}>\mathrm{0}\right)\:\mathrm{is}\:\mathrm{an}\:\mathrm{integer},\:\mathrm{then}\:{p}\:\mathrm{is}\:\mathrm{prime}. \\ $$

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Prove-or-disprove-that-If-p-k-0-n-3-k-n-gt-0-is-an-integer-then-p-is-prime-

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