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# AMC 10A 2002 Problem 15 | Prime Number

Try this beautiful Problem based on Number theory from AMC 10A, 2002 Problem 15.

## Prime Number | AMC 10A 2021, Problem 15

Using the digits $1,2,3,4,5,6,7$, and 9 , form 4 two-digit prime numbers, using each digit only once. What is the sum of the 4 prime numbers?

• 150
• 160
• 170
• 180
• 190

Arithmetic

Divisibility

Prime Number

## Suggested Book | Source | Answer

Elementary Number Theory by David M. Burton.

AMC 10A 2002 Problem 15

190

## Try with Hints

First try to find the probable digits for the unit place of the prime number.

The two digit prime number should end with $1, 3, 7, 9$ since it is prime and should not divisible by $2$ or $5$.

So now try to find which two digit primes will work here.

So, the primes should be $23, 41, 59, 67$.

Now find the sum of them.

AMC - AIME Program at Cheenta

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Try this beautiful Problem based on Number theory from AMC 10A, 2002 Problem 15.

## Prime Number | AMC 10A 2021, Problem 15

Using the digits $1,2,3,4,5,6,7$, and 9 , form 4 two-digit prime numbers, using each digit only once. What is the sum of the 4 prime numbers?

• 150
• 160
• 170
• 180
• 190

Arithmetic

Divisibility

Prime Number

## Suggested Book | Source | Answer

Elementary Number Theory by David M. Burton.

AMC 10A 2002 Problem 15

190

## Try with Hints

First try to find the probable digits for the unit place of the prime number.

The two digit prime number should end with $1, 3, 7, 9$ since it is prime and should not divisible by $2$ or $5$.

So now try to find which two digit primes will work here.

So, the primes should be $23, 41, 59, 67$.

Now find the sum of them.

AMC - AIME Program at Cheenta

## Subscribe to Cheenta at Youtube

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