Published November 29, 2020 | Version v1
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4-Digits Prime Numbers in Fixed Digits Repetition Prime Patterns

  • 1. Formarly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil

Description

In past years, the author worked with patterns in prime numbers in different situations. It means, in terms of lengths, such as 10, 9, 8, 7 and 6. The prime patterns are understood as  fixed digits repetitions along with prime number resulting again in a new prime number. These types of patterns are of fixed length. In this work, the prime patterns are written for the 4-digits prime numbers, i.e., .  i.e., from 1009 to 9973. In this case there are total 1061 prime numbers. Most of the results are obtained for the prime patterns of length 7 up to 8 digits repetition of fixed digits. There are very few examples of length 8 and length 9. The work for the prime numbers up to 3-digits is recently done by author. The continuation of the same work for 5-digits prime numbers are under study. Moreover, the fixed repetition numbers are always multiples of 3.

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