twin primes
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Input interpretation

twin primes

Alternate names

prime pairs | prime twins

Definition

Twin primes are pairs of primes of the form (p, p + 2). The term "twin prime" was coined by Paul Stäckel (1862-1919; Tietze 1965, p. 19). The first few twin primes are n ± 1 for n = 4, 6, 12, 18, 30, 42, 60, 72, 102, 108, 138, 150, 180, 192, 198, 228, 240, 270, 282, ... (OEIS A014574). Explicitly, these are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), ... (OEIS A001359 and A006512). All twin primes except (3, 5) are of the form 6n ± 1.
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