Grimm conjectured that if 
, 
, ..., 
are all composite numbers,
then there are distinct primes 
such that 
for 
.
Grimm's Conjecture
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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.Referenced on Wolfram|Alpha
Grimm's ConjectureCite this as:
Weisstein, Eric W. "Grimm's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GrimmsConjecture.html