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Primes that become composite after changing an arbitrary digit
Mathematics of Computation ( IF 2.2 ) Pub Date : 2020-11-24 , DOI: 10.1090/mcom/3593 Michael Filaseta , Jeremiah Southwick
Mathematics of Computation ( IF 2.2 ) 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 , 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(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
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(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。