There exist infinitely many 
with 
for all 
, where 
is the 
th prime. Also, there exist
infinitely many 
such that 
for all 
.
Selfridge's Conjecture
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Cite this as:
Weisstein, Eric W. "Selfridge's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SelfridgesConjecture.html