Find a 5-Digit Number with Unique Prime & Square Digits

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Discussion Overview

The discussion revolves around finding a 5-digit number that meets specific criteria involving unique digits, perfect squares, prime numbers, and certain mathematical relationships between the digits. The scope includes problem-solving and mathematical reasoning.

Discussion Character

  • Exploratory, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant outlines the criteria for the 5-digit number, specifying conditions related to unique digits, perfect squares, prime numbers, and relationships between the digits.
  • Another participant attempts to provide a solution with the digits A49DE and suggests the number 53492, detailing their thought process.
  • A subsequent reply challenges the proposed digits, stating that none satisfy the condition of being 'neither prime nor square.'
  • A later participant suggests the number 73894 as a potential solution.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct number, as there are competing suggestions and challenges to the proposed digits.

Contextual Notes

Some assumptions about the definitions of prime and square digits, as well as the relationships between the digits, remain unresolved. The criteria for 'neither prime nor square' may depend on interpretation.

bracey
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Just abit of fun!

Find a 5 digit number that:
· Has no two identical digits.
· Has two digits that are perfect squares.
· Has two digits that are prime.
· Has one digit that is neither prime, or a perfect square.
· That has the second digit six less than the fourth digit.
· That has the last digit half of the third digit.
· That has the first digit three greater than the last digit.
What's the number?
 
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Originally posted by bracey
Find a 5 digit number that:
· Has no two identical digits.
· Has two digits that are perfect squares.
· Has two digits that are prime.
· Has one digit that is neither prime, or a perfect square.
· That has the second digit six less than the fourth digit.
· That has the last digit half of the third digit.
· That has the first digit three greater than the last digit.
What's the number?
ABCDE
A49DE
A3492
53492

am I right? that is how my process went
 
none of those digits satisifies 'neither prime nor square'
 
Originally posted by matt grime
none of those digits satisifies 'neither prime nor square'
oh, you're right :(
 
I think the answer is 73894.
 

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