Question and Answers Forum

All Questions      Topic List

Number Theory Questions

Previous in All Question      Next in All Question      

Previous in Number Theory      Next in Number Theory      

Question Number 27888 by Rasheed.Sindhi last updated on 16/Jan/18

$$\mathrm{a}\mathrm{and}\mathrm{b}\mathrm{are}\mathbf{distinct}\mathbf{primes}\mathrm{and}$$$$\mathrm{x},\mathrm{y}\in \{0,1,2,...\}.$$$$\mathrm{What}\mathrm{is}\mathrm{the}\mathbf{number}\mathbf{of}\mathbf{divisors}$$$$\mathbf{common}\mathrm{to}\mathrm{the}\mathbf{numbers}\left({\mathbf{a}}^{\mathbf{x}}{\mathbf{b}}^{\mathbf{y}}\right)$$$$\mathbf{and}\left({\mathbf{a}}^{\mathbf{y}}{\mathbf{b}}^{\mathbf{x}}\right)?$$

Commented by prakash jain last updated on 16/Jan/18

$$2^{\min (x,\mathrm{y})+1}$$

Commented by Rasheed.Sindhi last updated on 16/Jan/18

$$\mathrm{Than}\mathbb{k}\mathrm{s}\mathrm{Sir}!\mathrm{Any}\mathrm{process}?$$$$\mathrm{Why}2\mathrm{is}\mathrm{involved}?$$

Commented by Rasheed.Sindhi last updated on 17/Jan/18

$$\mathrm{Ok}\mathrm{Sir}!$$

Commented by prakash jain last updated on 17/Jan/18

$$2^{\min (\mathrm{x},\mathrm{y})+1}\mathrm{is}\mathrm{wrong}\mathrm{it}\mathrm{should}$$$$\mathrm{have}\mathrm{been}{(\min (\mathrm{x},\mathrm{y})+1)}^2.$$

Answered by mrW2 last updated on 17/Jan/18

Commented by Rasheed.Sindhi last updated on 17/Jan/18

$$\mathrm{Quite}\mathbf{Ok}\mathrm{Sir}!\mathcal{THANKS}-a-\mathcal{LOT}!$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com