My quick hack
#!perl -l
$_=~('(.)'x5) && # (put our digits in $1..$5)
y/2357//==2 && # It has 2 prime digits.
"$1$2$4$5"!~/[$3-9]/ && # Digit 3 is the highest number.
"$1$3$4$5"!~/[0-$2]/ && # Digit 2 is lowest.
($5>$2&$5<$1|$5>$1&$5<$2) && # Digit 5 is between digit 2 and digit 1
$5==$4/2 && # ... and is half of digit 4.
!/(.).*\1/ && # There are no duplicates.
$1==$3-1 && # Digit 1 is 1 less than digit 3.
$1>$4+$5 && # Digit 1 is higher than the sum of digit
+s 4 and 5.
print for 0..9x5
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