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In mathematics, a Størmer number or arc-cotangent irreducible number, named after Carl Størmer, is a positive integer n for which the greatest prime factor of n2 + 1 meets or exceeds 2n. Fredrik Carl Mülertz Størmer ( September 3, 1874 – August 13, 1957) was a Norwegian Mathematician and Physicist The first few Størmer numbers are 1, 2, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 19, 20, etc. Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 In mathematics Four is the smallest Composite number, its proper Divisors being and. This article discusses the number five. For the year 5 AD see 5. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3. In mathematics Nine is a Composite number, its proper Divisors being 1 and 3. 19 ( nineteen) is the Natural number following 18 and preceding 20. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. (sequence A005528 in OEIS)

The Størmer numbers arise in connection with the problem of representing Gregory numbers ta / b as sums of Gregory numbers for integers: "To find Størmer's decomposition for ta / b, you repeatedly multiply a + bi by numbers n ± i for which n is a Størmer number and the sign is chosen so that you can cancel the corresponding prime number p (n is the smallest number for which n2 + 1 is divisible by p). The On-Line Encyclopedia of Integer Sequences ( OEIS) also cited simply as Sloane's, is an extensive searchable Database of Integer sequences In Mathematics, a Gregory number, named after James Gregory, is a Real number of the form G_x = \sum_{i = 0}^\infty (-1^i \frac{1}{(2i "[1]

References

  1. ^ Conway & Guy (1996): 245, ¶ 3
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