Category: Number Theory

Question Number 191232 by BaliramKumar last updated on 21/Apr/23 $$\mathrm{If}{x}^2-y^2={2023}^{2023}\mathrm{then}\mathrm{how}\mathrm{many}$$$$\mathrm{pair}\mathrm{of}x,ywherex,y\in \mathrm{N}$$ Answered by mr W last updated on 21/Apr/23…

Question Number 125042 by kaivan.ahmadi last updated on 07/Dec/20 $$2+2+2=6$$$$$$$$3\times 3-3=6$$$$$$$$\sqrt{4}+\sqrt{4}+\sqrt{4}=6$$$$$$$$5+5\mathbf{÷}5=6$$$$ \…

Question Number 190568 by cortano12 last updated on 06/Apr/23 Commented by Rasheed.Sindhi last updated on 11/Apr/23 $$Thegreatestvalueofn=169(p=29)$$ Terms of Service Privacy Policy Contact:…

Question Number 124944 by udaythool last updated on 07/Dec/20 $$1.(a,m)=(b,m)=1\Rightarrow (ab,m)=1$$$$2.c\mid ab\mathrm{and}(c,a)=1\Rightarrow c\mid b$$$$3.\mathrm{If}c\mathrm{is}\mathrm{a}\mathrm{common}\mathrm{multiple}\mathrm{of}$$$$a\mathrm{and}b\mathrm{then}[a,b]\mid c$$$$4.[ma,mb]=m[a,b]\mathrm{for}\mathrm{all}\mathrm{int}m>0$$$$5.[a,b](a,b)=\mid ab\mid$$$$6.\mathrm{Let}g>0,s\mathrm{be}\mathrm{integers}.\mathrm{Show}$$$$\mathrm{that}\:{g}\mid{s}\:\mathrm{iff}\:\exists\:\mathrm{integers}\:{x},\:{y}\:\mathrm{such} \…

Question Number 190285 by Abdullahrussell last updated on 31/Mar/23 Commented by ARUNG_Brandon_MBU last updated on 31/Mar/23 #include <stdio.h> int main(void) { unsigned int a, b; for (a = 100; a<1000; a++) { for (b = 300; b<1000; b++) { if (1001*a+1 == b*b) goto loopend; } } loopend: printf ("a = %u, b = %u", a, b); return 0; } Commented by ARUNG_Brandon_MBU last updated on 31/Mar/23 Output: a = 183, b = 428…