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58 is also the smallest integer in decimal whose square root has a simple continued fraction with period 7. [17] It is the fourth Smith number whose sum of its digits is equal to the sum of the digits in its prime factorization (13). [18] Given 58, the Mertens function returns , the fourth such number to do so. [19]
The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set. Explanations of the symbols in the right hand column can be found by clicking on them.
root 58 bark (of a tree) 59 flower 60 grass 61 rope 62 skin 63 meat mas 64 blood rat 65 bone 66 fat (noun) 67 egg 68 horn 69 tail 70 feather 71 hair shero/bala 72 head shero 73 ear kana 74 eye yaka 75 nose nak 76 mouth muj 77 tooth 78 tongue (organ) cib 79 fingernail 80 foot 81 leg 82 knee 83 hand vasta 84 wing 85 belly 86 guts 87 neck 88 back dumo
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors. Since p 2 k = p k , {\textstyle {\sqrt {p^{2k}}}=p^{k},} only roots of those primes having an odd power in the factorization are necessary.
A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred by using ordinal numbers, as in fourth root, twentieth root, etc. The computation of an n th root is a root extraction. For example, 3 is a square root of 9, since 3 2 = 9, and −3 is also a square root of 9, since (−3) 2 = 9.
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In modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which g k ≡ a (mod n). Such a value k is called the index or discrete logarithm of a to the base g modulo n.