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 2¹⁰⁰⁸²³ (this number has 30,351 digits !) after 4.13 hours runtime on an AMD Opteron 2.6GHz CPU.

$ 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.