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Printer's Errors


Typesetting "errors" in which exponents or multiplication signs are omitted but the resulting expression is equivalent to the original one. Examples include

 2^59^2=2592
(1)
 3^4425=34425
(2)
 31^2325=312325
(3)

and

 2^5·(25)/(31)=25(25)/(31),
(4)

where a whole number followed by a fraction is interpreted as a mixed fraction (e.g., 11/2=1+1/2=3/2). D. Wilson computed all possible errors obtained by dropping exponents in a product for bases 2 to 15 and numbers <=2^(64):

2^4=24_6
(5)
3^3=33_8
(6)
5^12^32^87^4=51232874_9.
(7)

Wilson also gave the numbers 11292450A0A8_(12) and 372B9A830000000000_(12), where the two digit base-b satisfies

 p^q=pb+q
(8)

and for which there exist an infinite number of examples.


See also

Anomalous Cancellation, Proofreading Mistakes

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References

Dudeney, H. E. Amusements in Mathematics. New York: Dover, 1970.Friedman, E. "Printer Error Number." June 2001. https://erich-friedman.github.io/mathmagic/0601.html.Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 174-175, 1979.

Referenced on Wolfram|Alpha

Printer's Errors

Cite this as:

Weisstein, Eric W. "Printer's Errors." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrintersErrors.html

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