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Størmer number

Index Størmer number

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 is greater than or equal to 2n. [1]

26 relations: American Mathematical Monthly, Carl Størmer, Cofiniteness, Finite set, Gaussian integer, Gregory number, Inverse trigonometric functions, John (Jack) Todd, Natural density, Natural logarithm of 2, Rational number, Unit fraction, 1, 10, 11 (number), 12 (number), 14 (number), 15 (number), 16 (number), 19 (number), 2, 20 (number), 4, 5, 6, 9.

American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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Carl Størmer

Fredrik Carl Mülertz Størmer (3 September 1874 – 13 August 1957) was a Norwegian mathematician and astrophysicist.

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Cofiniteness

In mathematics, a cofinite subset of a set X is a subset A whose complement in X is a finite set.

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Finite set

In mathematics, a finite set is a set that has a finite number of elements.

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Gaussian integer

In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers.

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Gregory number

In mathematics, a Gregory number, named after James Gregory, is a real number of the form: where x is any rational number greater or equal to 1.

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Inverse trigonometric functions

In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).

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John (Jack) Todd

John (Jack) Todd (May 16, 1911 – June 21, 2007) was a Northern Irish mathematician most of whose career was spent in England and the USA; he was a pioneer in the field of numerical analysis.

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Natural density

In number theory, natural density (or asymptotic density or arithmetic density) is one of the possibilities to measure how large a subset of the set of natural numbers is.

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Natural logarithm of 2

The decimal value of the natural logarithm of 2 is approximately as shown in the first line of the table below.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Unit fraction

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer.

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1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

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10

10 (ten) is an even natural number following 9 and preceding 11.

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11 (number)

11 (eleven) is the natural number following 10 and preceding 12.

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12 (number)

12 (twelve) is the natural number following 11 and preceding 13.

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14 (number)

14 (fourteen) is a natural number following 13 and succeeded by 15.

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15 (number)

15 (fifteen) is a number, numeral, and glyph.

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16 (number)

16 (sixteen) is the natural number following 15 and preceding 17.

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19 (number)

19 (nineteen) is the natural number following 18 and preceding 20.

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2

2 (two) is a number, numeral, and glyph.

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20 (number)

20 (twenty) is the natural number following 19 and preceding 21.

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4

4 (four) is a number, numeral, and glyph.

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5

5 (five) is a number, numeral, and glyph.

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6

6 (six) is the natural number following 5 and preceding 7.

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9

9 (nine) is the natural number following and preceding.

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Arc-cotangent irreducible number, Stormer number.

References

[1] https://en.wikipedia.org/wiki/Størmer_number

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