The Cramér conjecture is the unproven conjecture
that
where
is the th
prime.
See also
Andrica's Conjecture,
Brocard's Conjecture,
Prime
Difference Function
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References
Cramér, H. "On the Order of Magnitude of the Difference Between Consecutive Prime Numbers." Acta Arith. 2,
23-46, 1936.Guy, R. K. Unsolved
Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 7,
1994.Riesel, H. "The Cramér Conjecture." Prime
Numbers and Computer Methods for Factorization, 2nd ed. Boston, MA: Birkhäuser,
pp. 79-82, 1994.Rivera, C. "Problems & Puzzles: Conjecture
007.-The Cramer's Conjecture." http://www.primepuzzles.net/conjectures/conj_007.htm.Referenced
on Wolfram|Alpha
Cramér Conjecture
Cite this as:
Weisstein, Eric W. "Cramér Conjecture."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CramerConjecture.html
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