Four primes

Four primes

Posers and Puzzles

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r

Joined
08 Dec 03
Moves
3140
27 Jun 04

A, B, C and D represent four different digits such that ADDD, AACA, BCDB and BDAC are prime numbers.

What digits do the letters represent?

-Ray.

g

Sheffield

Joined
09 Sep 03
Moves
7644
28 Jun 04

A, B, C and D represent four different digits such that ADDD, AACA, BCDB and BDAC are prime numbers.

What digits do the letters represent?
Each digit is odd since each of the four primes expressed above ends in a different digits A-D.

No digit is 5, since any number ending in 5 is divisible by 5.

So the four digits are 1,3,7,9

We find that A=1, B=3, C=7, D=9
giving 1999, 1171, 3793 and 3917 as the primes

r

Joined
08 Dec 03
Moves
3140
30 Jun 04

Originally posted by garethn
A, B, C and D represent four different digits such that ADDD, AACA, BCDB and BDAC are prime numbers.

What digits do the letters represent?
Each digit is odd since each of the four primes expressed above ends in a different digits A-D.

No digit is 5, since any number ending in 5 is divisible by 5.

So the four digits are 1,3,7,9

We find that A=1, B=3, C=7, D=9
giving 1999, 1171, 3793 and 3917 as the primes
Looks good to me.

-Ray.