Number Theory – Page 13

If-a-b-are-co-prime-natural-numbers-satisfying-a-2-b-a-b-3-and-b-1-is-a-prime-find-all-possible-values-of-a-b-Please-help-me-solve-this-

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Question Number 187213 by anurup last updated on 14/Feb/23 $If a, b are co - prime natural numbers satisfying$ $a^{2} + b = {(a - b)}^{3} and b + 1 is a prime find all$ $possible values of (a, b) .$ $Please help me solve this .$ Terms of Service…

Is-true-or-not-that-4181-is-the-only-one-Fibonacci-s-number-with-no-prime-factor-which-is-also-a-Fibonacci-s-number-

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Question Number 55701 by mathaddicted last updated on 02/Mar/19 $I s t r u e o r n o t t h a t 4181 i s t h e o n l y o n e$ ${F i b o n a c c i}^{'} s n u m b e r w i t h n o p r i m e f a c t o r$ $w h i c h i s a l s o a {F i b o n a c c i}^{'} s n u m b e r ?$ Commented by MJS last updated on 03/Mar/19 $$\mathrm{1346269}=\mathrm{557}×\mathrm{2417} \…

Question-55631

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Question Number 55631 by Tawa1 last updated on 28/Feb/19 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Mar/19 ${(1 - x)}^{\frac{- 1}{2}}$ $= 1 + \frac{1}{2} x + \frac{1 \times 3}{2 \times 4} x^{2} + \frac{1 \times 3 \times 5}{2 \times 4 \times 6} x^{3} + \dots$ $L H S$ $$\mathrm{1}+\frac{\mathrm{4}}{\mathrm{10}}+\frac{\mathrm{4}×\mathrm{12}}{\mathrm{10}×\mathrm{20}}+\frac{\mathrm{4}×\mathrm{12}×\mathrm{20}}{\mathrm{10}×\mathrm{20}×\mathrm{30}}+……

4-metal-rods-of-length-78-cm-104-cm-117cm-a-nd-169-cm-are-to-be-cut-into-parts-of-equal-length-Each-length-must-be-as-long-as-possible-What-is-the-maximum-number-of-pieces-that-can-be-cut-

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Question Number 55476 by pooja24 last updated on 25/Feb/19 $4 m e t a l r o d s o f l e n g t h 78 c m, 104 c m, 117 c m,$ $a . n d 169 c m a r e t o b e c u t i n t o p a r t s o f e q u a l l e n g t h$ $E a c h l e n g t h m u s t b e a s l o n g a s p o s s i b l e$ $W h a t i s t h e m a x i m u m n u m b e r o f p i e c e s$ $t h a t c a n b e c u t ?$ Answered by Joel578 last updated…

Determine-all-primes-p-for-which-the-system-of-equations-p-1-2x-2-p-2-1-2y-2-has-solution-in-integers-x-y-

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Question Number 120923 by bemath last updated on 04/Nov/20 $Determine all primes p for which$ $the system of equations$ ${\begin{cases} p + 1 = {2 x}^{2} \\ p^{2} + 1 = {2 y}^{2} \end{cases}; has solution in$ $integers x, y .$ Answered by liberty last…

Find-all-integral-solutions-to-the-equation-x-2-1-y-2-1-2-x-y-1-xy-4-1-xy-

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Question Number 120812 by bramlexs22 last updated on 03/Nov/20 $Find all integral solutions to$ $the equation (x^{2} + 1) (y^{2} + 1) + 2 (x - y) (1 - xy) = 4 (1 + xy)$ Answered by liberty last updated on 03/Nov/20 $$\Leftrightarrow\:\left(\mathrm{xy}−\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{x}−\mathrm{y}\right)^{\mathrm{2}}…

h-

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Question Number 120679 by kaivan.ahmadi last updated on 02/Nov/20 $h$ Commented by bobhans last updated on 01/Nov/20 $\sqrt[3]{- 8}$ $(1.0 + 1 . 732051 i)$ Commented…

A-man-has-a-wife-with-six-children-and-his-total-income-is-Gh-8500-He-was-allowed-the-following-free-tax-personal-1200-wife-300-each-child-250-for-a-maximum-of-4-dependant-rel

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Question Number 120563 by rexfordattacudjoe last updated on 01/Nov/20 $A m a n h a s a w i f e w i t h s i x$ $c h i l d r e n a n d h i s t o t a l i n c o m e i s$ $G h $ 8500 . H e w a s a l l o w e d t h e$ $f o l l o w i n g f r e e t a x$ $p e r s o n a l : \dots \dots $ 1200$ $w i f e : \dots \dots \dots . . $ 300$ $e a c h c h i l d : \dots . . $ 250 f o r a m a x i m u m o f 4$ $${dependant}\:{relative}:$\mathrm{400} \…

Find-value-of-n-so-120-5n-n-2-1-

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Question Number 54897 by gunawan last updated on 14/Feb/19 $Find value of n so 120 ∣ 5 n (n^{2} - 1)$ Commented by jahanara@gmail.com last updated on 02/May/19 $s o e a s y$ Answered by…

Show-for-the-equation-a-n-b-2-1-where-n-gt-1-and-a-gt-2-are-any-natural-numbers-there-are-no-positive-integer-solutions-for-a-and-b-

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Question Number 120202 by bemath last updated on 30/Oct/20 $S h o w f o r t h e e q u a t i o n a^{n} = b^{2} - 1$ $w h e r e n > 1 a n d a > 2 a r e a n y n a t u r a l$ $n u m b e r s, t h e r e a r e n o p o s i t i v e i n t e g e r$ $s o l u t i o n s f o r a a n d b ?$ Terms of Service Privacy Policy…

Category: Number Theory