How many digits are there in 2^1000 (2 to the power of 1000)?

well as we all know counting up the powers like this may show a simple pattern 2,4,8,16,32,64,128,256,512,1024,2048,4096,9192,18384.....etc. so far the pattern seems to be 3 numbers to next digit x3. then 4 numbers to next digit. so every 13 numbers will be worth 4 digits. so 1000 divided by 13x4 should give you around the number of digits. Of course i'm pretty sure there's a chance this number won't be exactly equal to the number of digits as it may sometimes take 4 sets of 3 numbers to the next digit but other than that this number should be pretty close and can be used a guideline to see if you're number is close to this. The number I got was 307.6923. (the .6923 means that this is how close you are to the next digit.

Posted by Alan on 2003-02-20 12:29:39