Examples and definition
Examples of liquor numbers are:
All liquor numbers are of shape
where is the digit used, the number of digits and the base used.
Origin of the name
The name is derived from games with several participants, in which the course manifests itself as the result of an addition that is logged . If the total score of one of the players reaches a schnapps number, free drinks - for example a schnapps - may be due for the other players depending on the existing rules of the game or verbal agreements .
Another interpretation relates to the fact that double vision can occur after excessive alcohol consumption , which can turn a 2 into a 22 or a 33 into a 333 or a 3333.
Use of liquor numbers
In addition to the above-mentioned use in drinking games, there are other areas in which liquor numbers play a special role:
Since the equality of the digits depends arbitrarily on the selected number base (here in the example decimal ), it is a mild form of number magic . The schnapps number 666, which is referred to as the number of the beast in the Revelation of John , is of particular importance . It is used particularly in the heavy metal environment , for example in the song The Number of the Beast by Iron Maiden .
In mathematics, the repdigits in the dual system play an important role (see also Mersenne prime ). In this place value system , repdigits can only consist of the number 1 and are therefore called repunit (repeated unit). Regardless of the place value system used, among the repdigits only the repunits with a prime number of digits can be prime numbers , all other repdigit numbers are compound.
Numbers that have the same value when upside down (by rotating in the plane of the drawing around the center point) are occasionally referred to as schnapps numbers, for example:
- Albert Beiler: Recreations in the Theory of Numbers: The Queen of Mathematics Entertains , 2nd edition, Dover Publications, New York 1966, ISBN 978-0-486-21096-4 , p.83
- Charles W. Trigg: Infinite sequences of palindromic triangular numbers. In: The Fibonacci Quarterly. 12, 1974, pp. 209-212
- Bernard Schott: Les nombres brésiliens. , (pdf version) In: Quadrature. No. 76, March 2010, pp. 30-38
- Florian Freistetter: With schnapps and other figures through 2020 Spektrum.de, January 5, 2020, accessed on July 28, 2020
- Sebastian Wolfrum: What is a schnapps number? , Badische Zeitung, November 16, 2011, accessed on July 28, 2020