Grimm's Conjecture: Origin & Sources

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I do have the book, so I'll look it up for you. It cites one paper by Grimm:

C. A. Grimm, A conjecture on consecutive composite numbers, Amer. Math. Monthly, 76(1969) 1126-1128.

I imagine this is the original source, given the name, so I think the answer to your question is 1969 or thereabouts.

Edit: Here's a paper mentioning it:
http://www.math.tifr.res.in/~shanta/grimm.pdf

Here's a capsule review (typed, not printed!):
http://www.emis.de/cgi-bin/Zarchive?an=0197.32001
 
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Thanks, I appreciate it.