The (weak) twin prime conjecture is that there
are infinitely many twin primes.
There is also a strong form of this conjecture [HL23] which
states that there are about
twin primes less than or equal to x. The
constant written above as an infinite product is the
twin primes constant. See the page "a simple heuristic"
linked below for information on how this conjecture is
See Also: BrunsConstant, TwinPrimeConstant
Related pages (outside of this work)
- G. H. Hardy and J. E. Littlewood, "Some problems of `partitio numerorum' : III: on the expression of a number as a sum of primes," Acta Math., 44 (1923) 1-70. Reprinted in "Collected Papers of G. H. Hardy," Vol. I, pp. 561-630, Clarendon Press, Oxford, 1966.