Analysis of Prime Reciprocal Sequences in Base 10

Details Analysis of Prime Reciprocal Sequences in Base 10 Analysis of Prime Reciprocal Sequences in Base 10

2008-01-24

arxiv.org/abs/0801.3841v1

Computer Science

Cryptography and Security

12 pages, 1 figure

Scientific paper

Prime reciprocals have applications in coding and cryptography and for generation of random sequences. This paper investigates the structural redundancy of prime reciprocals in base 10 in a manner that parallels an earlier study for binary prime reciprocals. Several different kinds of structural relationships amongst the digits in reciprocal sequences are classified with respect to the digit in the least significant place of the prime. It is also shown that the frequency of digit 0 exceeds that of every other digit when the entire set of prime reciprocal sequences is considered.

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