Suppose an integer xx, a natural number nn,and a prime number pp satisfy the equation 7x244x+12=pn7x^2-44x+12=p^n.Find the largest value of pp.

Note by Vilakshan Gupta
2 years, 2 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

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

Vilakshan Gupta - 2 years, 2 months ago

Log in to reply

although quite expensive they are , but best books!

Vilakshan Gupta - 2 years, 2 months ago

Log in to reply

This one i did :)

Md Zuhair - 2 years, 2 months ago

Log in to reply

did u get 47?

Vilakshan Gupta - 2 years, 2 months ago

Log in to reply

Yep!

Md Zuhair - 2 years, 2 months ago

Log in to reply

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

Toshit Jain - 2 years, 2 months ago

Log in to reply

I struggled very much in Geometry!

Toshit Jain - 2 years, 2 months ago

Log in to reply

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

Vilakshan Gupta - 2 years, 2 months ago

Log in to reply

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

Toshit Jain - 2 years, 2 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...