Gilbreath's Conjecture
Let the Difference of successive Primes be defined by 
, and 
by
N. L. Gilbreath claimed that
for all 
(Guy 1994). It has been verified for 
andall Primes up to 
, where 
is the Prime Counting Function.
References
Guy, R. K. ``Gilbreath's Conjecture.'' §A10 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 25-26, 1994.
- Functional Calculus
- Functional Derivative
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- Fundamental Class
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- Fundamental Lemma of Calculus of Variations
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- Fundamental Theorem of Algebra
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- Fundamental Theorem of Gaussian Quadrature
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- Fundamental Theorem of Symmetric Functions
- Fundamental Theorems of Calculus
- Fundamental Unit