func Euler24() string {
str := "0123456789"
bytes := []byte(str)
for i := 1; i < 1000000; i++ {
arithmetics.Permute(bytes)
}
return fmt.Sprint(string(bytes))
}
func Euler43() string {
sum := uint64(0)
pand := []byte("1023456789")
for arithmetics.Permute(pand) {
hasProperty := true
for i, prime := range smallprimes {
num, _ := strconv.Atoui64(string(pand[1+i : 4+i]))
if num%prime != 0 {
hasProperty = false
break
}
}
if hasProperty {
num, _ := strconv.Atoui64(string(pand))
sum += num
}
}
return fmt.Sprint(sum)
}
func Euler41() string {
maxPandigital := "123456789"
max := 0
for i := len(maxPandigital); i > 3; i-- {
pandigital := []byte(maxPandigital[0:i])
for arithmetics.Permute(pandigital) {
number, _ := strconv.Atoi(string(pandigital))
if big.ProbablyPrime(big.NewInt(int64(number)), 1) {
if number > max {
max = number
}
}
}
if max != 0 {
return fmt.Sprint(max)
}
}
return "Error not prime found"
}