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# twin prime conjecture

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
formed.

**See Also:** BrunsConstant, TwinPrimeConstant

**Related pages** (outside of this work)

- Twin primes (research and records)
- A simple heuristic (draft article about construcitng such conjectures)

**References:**

- HL23
G. H. HardyandJ. 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.

Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.