Twin primes by spiraling numbers congruent to {1, 7, 11, 13, 17, 19, 23, 29} modulo 30 (otherwise defined as natural numbers not divisible by 2, 3 or 5) within a modulo 30 factorization wheel (see graphic, below), where 1 = 12°. By definition this sequence consists of the number one (1) and all prime numbers greater than 5 and their multiplicative multiples, the latter starting with 7 x 7 = 49, the first composite number in the domain.Twin primes are pairs of primes which differ by two. (This name was coined by Stäckel in 1916.) The first twin primes are {3,5}, {5,7}, {11,13,} and {17,19}. It has been conjectured that there are infinitely many twin primes (see the twin prime conjecture for further information)
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