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In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1.
41 is: the 13th smallest prime number. The next is 43, making both twin primes. the sum of the first six prime numbers (2 + 3 + 5 + 7 + 11 + 13). the 12th supersingular prime [1] a Newman–Shanks–Williams prime. [2] the smallest Sophie Germain prime to start a Cunningham chain of the first kind of three terms, {41, 83, 167}.
The differences between the terms are 2, 4, 6, 8, 10... For n = 40, it produces a square number, 1681, which is equal to 41 × 41, the smallest composite number for this formula for n ≥ 0. If 41 divides n, it divides P(n) too. Furthermore, since P(n) can be written as n(n + 1) + 41, if 41 divides n + 1 instead, it also divides P(n).
For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one in which the lengths of the sides form ratios of whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio.
Four numbering schemes for the uniform polyhedra are in common use, distinguished by letters: [C] Coxeter et al., 1954, showed the convex forms as figures 15 through 32; three prismatic forms, figures 33–35; and the nonconvex forms, figures 36–92.
The integers form a ring which is the most basic one, in the following sense: for any ring, there is a unique ring homomorphism from the integers into this ring. This universal property , namely to be an initial object in the category of rings , characterizes the ring Z {\displaystyle \mathbb {Z} } .
120 (one hundred [and] twenty) is the natural number following 119 and preceding 121. In the Germanic languages , the number 120 was also formerly known as "one hundred". This "hundred" of six score is now obsolete but is described as the long hundred or great hundred in historical contexts.
125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur. Like many other powers of 5, it is a Friedman number in base 10 since 125 = 5 1 + 2. 125 is the center of a close triplet of perfect powers, (121 = 11 2, 125 = 5 3, 128 = 2 7). Excluding the trivial cases of 0 and 1 ...