Generating Big Numbers

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I've just read an interesting article about the Clarkkkkson, which is an incredibly large number. The article is here: http://www.lab6.com/old/school/yearbook/clarkkkkson.html Can anyone generate numbers larger than the Clarkkkkson, without, as the Clarkkkkson article mentions, using a predefined number (so saying Clarkkkkson+1 would not count). Thoughts?