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Repeatedly Appending Any Digit to Generate Composite Numbers

Jon Grantham, Witold Jarnicki, John Rickert and Stan Wagon
The American Mathematical Monthly
Vol. 121, No. 5 (May 2014), pp. 416-421
DOI: 10.4169/amer.math.monthly.121.05.416
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.05.416
Page Count: 6
Topics: Integers, Yield, Numbers
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Repeatedly Appending Any Digit to Generate Composite Numbers
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Abstract

Abstract We investigate the problem of finding integers k such that appending any number of copies of the base-ten digit d to k yields a composite number. In particular, we prove that there exist infinitely many integers coprime to all digits such that repeatedly appending any digit yields a composite number.

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