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Grimm's Conjecture


Grimm conjectured that if n+1, n+2, ..., n+k are all composite numbers, then there are distinct primes p_(i_j) such that p_(i_j)|(n+j) for 1<=j<=k.


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References

Guy, R. K. "Grimm's Conjecture." §B32 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 86, 1994.

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Grimm's Conjecture

Cite this as:

Weisstein, Eric W. "Grimm's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GrimmsConjecture.html

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