#23

Suppose an integer $x$ , a natural number $n$ ,and a prime number $p$ satisfy the equation $7x^2-44x+12=p^n$ .Find the largest value of $p$ .

#NumberTheory

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

You can Buy david burton's number theory book and arthur engel's problem solving strategies

Vilakshan Gupta - 3 years, 9 months ago

although quite expensive they are , but best books!

Vilakshan Gupta - 3 years, 9 months ago

This one i did :)

Md Zuhair - 3 years, 9 months ago

did u get 47?

Vilakshan Gupta - 3 years, 9 months ago

Yep!

Md Zuhair - 3 years, 9 months ago

@Md Zuhair @Vilakshan Gupta Guys , i just wanna ask that how can I improve my Number Theory and Geometry (particularly) skills?

Toshit Jain - 3 years, 9 months ago

I struggled very much in Geometry!

Toshit Jain - 3 years, 9 months ago

u will not get Arthur engel's in any shop. U can download its pdf and print it or simply read it.

Vilakshan Gupta - 3 years, 9 months ago

@Vilakshan Gupta Thank you so much... I'll surely get those!

Toshit Jain - 3 years, 9 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$