diff --git a/math/primes_up_to_10^8.cpp b/math/primes_up_to_billion.cpp
similarity index 79%
rename from math/primes_up_to_10^8.cpp
rename to math/primes_up_to_billion.cpp
index db9b56cab..d8f5a9f9d 100644
--- a/math/primes_up_to_10^8.cpp
+++ b/math/primes_up_to_billion.cpp
@@ -1,12 +1,12 @@
-#include<iostream>
 #include <cstring>
+#include <iostream>
 
 char prime[100000000];
 
 void Sieve(int64_t n) {
     memset(prime, '1', sizeof(prime));  // intitize '1' to every index
-    prime[0] = '0';  // 0 is not prime
-    prime[1] = '0';  // 1 is not prime
+    prime[0] = '0';                     // 0 is not prime
+    prime[1] = '0';                     // 1 is not prime
     for (int p = 2; p * p <= n; p++) {
         if (prime[p] == '1') {
             for (int i = p * p; i <= n; i += p)
@@ -15,7 +15,6 @@ void Sieve(int64_t n) {
     }
 }
 
-
 int main() {
     Sieve(100000000);
     int64_t n;