Twin Prime Conjecture -- from Wolfram MathWorld
Weisstein, Eric W.Wolfram Research, Inc.Date not recordedOriginal︎ ↗Archived copy
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The twin prime conjecture refers to two related conjectures. The first version states that there are infinitely many pairs of twin primes (Guy 1994, p. 19). It is not known if there are infinitely many such primes (Wells 1986, p. 41; Shanks 1993, p. 30), but it seems almost certain to be true. While Hardy and Wright (1979, p. 5) note that "the evidence, when examined in detail, appears to justify the conjecture," and Shanks (1993, p. 219) states even more strongly, "the evidence is overwhelming," Hardy and Wright also note that the proof or disproof of conjectures of this type "is at present beyond the resources of mathematics."
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