If-the-product-of-three-consecutive-prime-numbers-is-7-times-their-sum-what-is-the-prime-number-three-Ans-will-be-commented-by-me-after-someone-tried-to-ans-it-

Question Number 126079 by amns last updated on 17/Dec/20

$$\boldsymbol{\mathrm{If}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{product}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{three}}\:\boldsymbol{\mathrm{consecutive}}\:\boldsymbol{\mathrm{prime}}\:\boldsymbol{\mathrm{numbers}}\:\boldsymbol{\mathrm{is}}\:\mathrm{7}\:\boldsymbol{\mathrm{times}} \\ $$$$\boldsymbol{\mathrm{their}}\:\boldsymbol{\mathrm{sum}},\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{prime}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{three}}? \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\left[{Ans}.\:{will}\:{be}\:{commented}\:{by}\:{me}\:{after}\:{someone}\:{tried}\:{to}\:{ans}.\:{it}\right] \\ $$

Commented by som(math1967) last updated on 17/Dec/20

$${If}\:{product}\:{of}\:\mathrm{3}{consecutive} \\ $$$${prime}\:{number}\:{is}\:\mathrm{7}{times}\:{their} \\ $$$${sum}\:{then}\:{one}\:{prime}\:{number} \\ $$$${must}\:{be}\:\mathrm{7}. \\ $$$$\therefore\mathrm{3}+\mathrm{5}+\mathrm{7}=\mathrm{15} \\ $$$$\therefore\mathrm{3},\mathrm{5},\mathrm{7} \\ $$

Commented by amns last updated on 17/Dec/20

$$\mathrm{som}\left(\mathrm{math}\:\mathrm{1967}\right)\:\boldsymbol{{is}}\:\boldsymbol{{right}} \\ $$

Answered by amns last updated on 17/Dec/20

$$\boldsymbol{{Ans}}.\:\boldsymbol{{is}}\:\mathrm{3},\:\mathrm{5},\:\mathrm{7} \\ $$

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