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function pe1()
sum = 0
for x = 0,999 do
if x%5==0 or x%3==0 then
sum = sum+x
end
end
print(sum)
end
function pe2()
sum = 0
last = 1
fib = 1
while fib<4000000 do
if fib%2==0 then
sum = sum+fib
end
a = last
last = fib
fib = fib+a
end
print(sum)
end
function pe3()
math = require "math"
function isprimev2(x)
for n = 2,math.sqrt(x) do
if x%n==0 then
return false
end
end
return true
end
function isfac(x,n)
return x%n==0
end
lpf = 0
for x = 0,600851475143^(1/2) do
if isfac(600851475143,x) then
if isprimev2(x) then
lpf = x
end
end
end
print('final')
print(lpf)
end
function pe4()
lpn = 0
for x = 100,999 do
for y = 100,999 do
z = tostring(x*y)
if z == string.reverse(z) then
if x*y>lpn then
lpn = x*y
end
end
end
end
print(lpn)
end
function pe5()
sedn = 1
temp = 1
x = 1
while(x<=20) do
if sedn%x==0 then
sedn = sedn
x=x+1
temp = sedn
else
sedn = sedn+temp
end
end
print('sedn:', sedn)
end
function pe7()
primes = 0
try = 1
function isprime(x)
for n=2,math.sqrt(x) do
if x%n==0 then
return false
end
end
return true
end
while(primes<10001) do
try = try+1
if isprime(try) then
primes=primes+1
end
end
print(try)
end
function pe9()
for a = 1 , 1000 do
for b= 1, 1000 do
for c=1,1000 do
if a<b and b<c then
if a+b+c==1000 then
if a*a+b*b==c*c then
print(a*b*c)
end
end
end
end
end
end
end
function pe10()
function isprime(x)
for n=2,math.sqrt(x) do
if x%n==0 then
return false
end
end
return true
end
sum = 0
for x = 1,1000000 do
x = x*2-1
if isprime(x) then
sum = sum+x
end
end
print(sum)
end
pe10()