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Question Number 187213 by anurup last updated on 14/Feb/23

$$\mathrm{If}a,b\mathrm{are}\mathrm{co}-\mathrm{prime}\mathrm{natural}\mathrm{numbers}\mathrm{satisfying}$$$$a^2+b={(a-b)}^3\mathrm{and}b+1\mathrm{is}\mathrm{a}\mathrm{prime}\mathrm{find}\mathrm{all}$$$$\mathrm{possible}\mathrm{values}\mathrm{of}(a,b).$$$$\mathrm{Please}\mathrm{help}\mathrm{me}\mathrm{solve}\mathrm{this}.$$$$$$

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