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

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The discussion revolves around finding a unique 5-digit number that meets specific criteria, including having no identical digits, two perfect square digits, two prime digits, and one digit that is neither. The conditions also specify relationships between the digits, such as the second digit being six less than the fourth and the last digit being half of the third. Initial attempts to solve the puzzle included various combinations, but they failed to meet all conditions. Ultimately, the number 73894 is proposed as the correct solution. The conversation highlights the challenge of satisfying all mathematical constraints while ensuring digit uniqueness.
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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.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

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