Grimm's Conjecture: Origin & Sources

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SUMMARY

Grimm's Conjecture was formulated by C. A. Grimm in 1969, as detailed in the paper titled "A conjecture on consecutive composite numbers," published in the American Mathematical Monthly. This original source is pivotal for understanding the conjecture's historical context. Additional references include a paper from TIFR and a capsule review available through EMIS, which further explore the conjecture's implications and related discussions.

PREREQUISITES
  • Understanding of number theory concepts, particularly composite numbers.
  • Familiarity with mathematical publication formats and citation styles.
  • Knowledge of historical mathematical conjectures and their significance.
  • Access to academic resources for retrieving mathematical papers.
NEXT STEPS
  • Read C. A. Grimm's original paper from the American Mathematical Monthly (1969).
  • Explore the paper available at TIFR for additional insights on Grimm's Conjecture.
  • Review the capsule review on EMIS for a concise summary of the conjecture's impact.
  • Investigate related conjectures in number theory to understand the broader context.
USEFUL FOR

Mathematicians, number theorists, and students interested in the historical development of mathematical conjectures and their implications in number theory.

Dragonfall
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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
 
Last edited by a moderator:
Thanks, I appreciate it.
 

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