Project Euler: Problem 25

By | 24. April 2013

The Fibonacci sequence is defined by the recurrence relation:

Fn = Fn−1 + Fn−2 , where F1 = 1 and F2 = 1.

Hence the first 12 terms will be:

F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144

The 12th term, F12 , is the first term to contain three digits.

What is the first term in the Fibonacci sequence to contain 1000 digits?

BigInteger number1 = BigInteger.ZERO;
BigInteger number2 = BigInteger.ONE;
BigInteger temp = BigInteger.ZERO;
int count = 1;
 
while (number2.toString().length()<1000) {
	temp = number1.add(number2);
	number1 = number2;
	number2 = temp;
	count++;
}
System.out.println(count);

Lösung: 4782

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