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Primes that become composite after changing an arbitrary digit
Mathematics of Computation ( IF 2 ) Pub Date : 2020-11-24 , DOI: 10.1090/mcom/3593
Michael Filaseta , Jeremiah Southwick

Abstract:We show that a positive proportion of the primes have the property that if any one of its digits in base $ 10$, including its infinitely many leading 0 digits, is replaced by a different digit, then the resulting number is composite.


中文翻译:

更改任意数字后变为合成的素数

摘要:我们证明,正数的质数具有以下性质:如果将基数中的任意一位数字$ 10 $(包括其无数个前导0位数字)替换为不同的数字,则结果数将为合成数。
更新日期:2021-01-05
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