Primes that become composite after changing an arbitrary digit
Authors:
Michael Filaseta and Jeremiah Southwick
Journal:
Math. Comp. 90 (2021), 979-993
MSC (2020):
Primary 11Y11; Secondary 11A63, 11N36, 11P32, 11Y05
DOI:
https://doi.org/10.1090/mcom/3593
Published electronically:
November 24, 2020
MathSciNet review:
4194171
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Abstract | References | Similar Articles | Additional Information
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.
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Additional Information
Michael Filaseta
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
MR Author ID:
66800
Email:
filaseta@math.sc.edu
Jeremiah Southwick
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
ORCID:
0000-0003-0751-8358
Email:
soutjt14@alumni.wfu.edu
Keywords:
Covering system,
digitally delicate primes,
density,
sieve
Received by editor(s):
January 13, 2020
Received by editor(s) in revised form:
January 30, 2020, and July 29, 2020
Published electronically:
November 24, 2020
Article copyright:
© Copyright 2020
American Mathematical Society
