Added problems 2 and 3

Author: naveenv92

README.md

@@ -9,8 +9,8 @@ My solutions for Project Euler problems
 | Problem | Title | Solution|
 |---------|-------|---------|
 |1|[Multiples of 3 and 5](https://projecteuler.net/problem=1)|[Python](./python/problem-001.py), [Java](./java/problem-1.java), [Go](./go/problem-001/problem-001.go)|
-|2|[Even Fibonacci Numbers](https://projecteuler.net/problem=2)|[Python](./python/problem-002.py), [Java](./java/problem-2.java)|
-|3|[Largest Prime Factor](https://projecteuler.net/problem=3)|[Python](./python/problem-003.py), [Java](./java/problem-3.java)|
+|2|[Even Fibonacci Numbers](https://projecteuler.net/problem=2)|[Python](./python/problem-002.py), [Java](./java/problem-2.java), [Go](./go/problem-002/problem-002.go)|
+|3|[Largest Prime Factor](https://projecteuler.net/problem=3)|[Python](./python/problem-003.py), [Java](./java/problem-3.java), [Go](./go/problem-003/problem-003.go)|
 |4|[Largest Palindrome Product](https://projecteuler.net/problem=4)|[Python](./python/problem-004.py), [Java](./java/problem-4.java)|
 |5|[Smallest Multiple](https://projecteuler.net/problem=5)|[Python](./python/problem-005/py), [Java](./java/problem-5.java)|
 |6|[Sum Square Difference](https://projecteuler.net/problem=6)|[Python](./python/problem-006.py), [Java](./java/problem-6.java)|

go/problem-002/problem-002.go

@@ -0,0 +1,19 @@
+package main
+
+import "fmt"
+
+func main() {
+	curr := 1
+	prev := 1
+	sumValues := 0
+
+	for curr <= 4000000 {
+		if curr%2 == 0 {
+			sumValues += curr
+		}
+		curr += prev
+		prev = curr - prev
+	}
+
+	fmt.Printf("The sum of fibonacci numbers below 4,000,000 is %d\n", sumValues)
+}

go/problem-003/problem-003.go

@@ -0,0 +1,36 @@
+package main
+
+import (
+	"fmt"
+	"math"
+)
+
+func isPrime(n int) bool {
+	if n < 2 {
+		return false
+	} else if n == 2 {
+		return true
+	} else {
+		for i := 2; i*i <= n; i++ {
+			if n%i == 0 {
+				return false
+			}
+		}
+	}
+	return true
+}
+
+func main() {
+	startValue := int(math.Floor(math.Sqrt(600851475143)))
+	largestFactor := 0
+
+	for startValue > 0 {
+		if 600851475143%startValue == 0 && isPrime(startValue) {
+			largestFactor = int(startValue)
+			break
+		}
+		startValue -= 1
+	}
+
+	fmt.Printf("Largest prime factor of 600851475143 is %d\n", largestFactor)
+}