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import math fibo_1 = 1 fibo_2 = 1 index_1000digit = 0 index_10000digit = 0 index = 3 while(1): fibo_n = fibo_1 + fibo_2 power10 = int(math.log10(fibo_n)) if(power10 == 999 and index_1000digit == 0): index_1000digit = index elif(power10 == 9999 and index_10000digit == 0): index_10000digit = index break; fibo_1 = fibo_2 fibo_2 = fibo_n index = index + 1 print("Index for 1st Fibonacci number with 1000 digits is:", index_1000digit) print("Index for 1st Fibonacci number with 10000 digits is:", index_10000digit) # OUTPUT: # Index for 1st Fibonacci number with 1000 digits is: 4782 # Index for 1st Fibonacci number with 10000 digits is: 47847
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