Solve-by-computer-programming-a-b-amp-c-are-Prime-numbers-And-they-are-in-AP-and-d-is-common-difference-Example-a-b-c-d-3-5-7-2-Just-Next-Set-a-b-c-d-

Question Number 202058 by BaliramKumar last updated on 19/Dec/23

$$\mathrm{Solve}\:\mathrm{by}\:\mathrm{computer}\:\mathrm{programming} \\ $$$${a},\:{b}\:\&\:{c}\:{are}\:{Prime}\:{numbers}.\:\mathrm{And}\:\mathrm{they} \\ $$$$\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}\:\mathrm{and}\:\mathrm{d}\:\mathrm{is}\:\mathrm{common}\:\mathrm{difference} \\ $$$$\mathrm{Example}\:\left(\mathrm{a},\:\mathrm{b},\:\mathrm{c},\:\mathrm{d}\right)\:=\:\left(\mathrm{3},\:\mathrm{5},\:\mathrm{7},\:\mathrm{2}\right) \\ $$$$\:\mathrm{Just}\:\mathrm{Next}\:\mathrm{Set}\left(\mathrm{a},\:\mathrm{b},\:\mathrm{c},\:\mathrm{d}\right)\:=\:? \\ $$

Commented by BaliramKumar last updated on 01/Jan/24

$$\left[\mathrm{Q}.\:\mathrm{202677}\:\:\mathrm{Please}\:\mathrm{check}\:\mathrm{the}\:\mathrm{answer}\right. \\ $$$$\left.\mathrm{x}>\mathrm{y}\:\mathrm{and}\:\mathrm{y}\neq\mathrm{0}\:\:\:\:\:\mathrm{x},\:\mathrm{y}\:\in\:\mathrm{Z}^{+} \right] \\ $$

Answered by nikif99 last updated on 19/Dec/23

$$\left(\mathrm{5},\:\mathrm{11},\:\mathrm{17},\:\mathrm{6}\right) \\ $$

Commented by BaliramKumar last updated on 19/Dec/23

$$\mathrm{Please}\:\mathrm{share}\:\mathrm{many}\:\mathrm{list}\:\mathrm{of}\:\:\mathrm{set}\: \\ $$$$\mathrm{all}\:\mathrm{prime}\:\mathrm{number}\:\mathrm{2}\:\mathrm{digit}\:\mathrm{or}\:\mathrm{3}\:\mathrm{digit}… \\ $$

Commented by nikif99 last updated on 19/Dec/23

Commented by nikif99 last updated on 19/Dec/23

$${this}\:{is}\:{a}\:{full}\:{list}\:{of}\:\mathrm{2}−{digit}\:{primes} \\ $$

Commented by nikif99 last updated on 19/Dec/23

Commented by nikif99 last updated on 19/Dec/23

$${first}\:\mathrm{37}\:{triplettes}\:{of}\:\mathrm{3}−{digit}\:{primes} \\ $$$${total}\:\mathrm{3}−{digit}\:{found}\:{are}\:\mathrm{555} \\ $$

Commented by BaliramKumar last updated on 19/Dec/23

$$\mathrm{Thanks}\:\mathrm{Sir} \\ $$

Commented by MM42 last updated on 19/Dec/23

$$\mathrm{2}\rightarrow\mathrm{3}/\mathrm{5}/\mathrm{7}\:\: \\ $$$$\mathrm{4}\rightarrow\mathrm{3}/\mathrm{7}/\mathrm{11} \\ $$$$\mathrm{8}\rightarrow\mathrm{3}/\mathrm{11}/\mathrm{19} \\ $$$$\mathrm{10}\rightarrow\mathrm{3}/\mathrm{13}/\mathrm{23} \\ $$$$\mathrm{14}\rightarrow\mathrm{3}/\mathrm{17}/\mathrm{31} \\ $$$$\mathrm{20}\rightarrow\mathrm{3}/\mathrm{23}/\mathrm{53} \\ $$$$\vdots \\ $$

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