Here is a link to Yousuke Koide's page on repunit factorization(s). Repunits are numbers specifically whose decimal representation consists of all 1's.
http://www.h4.dion.ne.jp/~rep/
It would appear that the lowest repunit whose prime factorization is yet unknown, is R239 (see also Torbjorn Granlund's page at Swox).
http://swox.com/~tege/fac10m.txt
[Note that Swox is the organization behind the widely-used GMP math library
http://gmplib.org/]
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