Sunday, March 13, 2005

Mersenne 42 in other bases

The 42nd known Mersenne prime 225964951-1 was discovered recently. The minus-one factorization of the exponent is 25964951 (5 5 11 17 2777 (2 2 2 347 (2 173 (2 2 43 (2 3 7))))).

225964951-1 in base 94

225964951-1 in base 52

The huge pages of ``random'' characters inspire the Word-search Problem: given a string S, and a target word T (or a list of target words), find T= S[a]S[b]S[c]... where the indices a,b,c... are in arithmetic progression.

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