### Power of 2, Part 2

A month ago I was trying to find consecutive zeroes in Power of 2. The 9 consecutive zeroes appears in

**2**(this number has 30,351 digits !) after 4.13 hours runtime on an AMD Opteron 2.6GHz CPU.^{100823}$python Python 2.5.2 (r252:60911, Oct 2 2008, 09:47:11) [C] on sunos5 Type "help", "copyright", "credits" or "license" for more information. >>>zero9=2**100823 >>>len(str(zero9)) 30351 >>>'0'*9 in str(zero9) True >>>

BTW, my Python program has been running for 609h 41m 10s (25.4 days) and it still cannot find the 10 consecutive zeroes in 2^{N}. The question is, does the 2^{N} number ever contains 10 consecutive zeroes ? I will leave my program to 'find' out the truth.

Labels: python

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