Treffer: INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 5 (2005), #A19 DECIMAL EXPANSION OF 1/P AND SUBGROUP SUMS

Title:
INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 5 (2005), #A19 DECIMAL EXPANSION OF 1/P AND SUBGROUP SUMS
Authors:
Contributors:
The Pennsylvania State University CiteSeerX Archives
Publication Year:
2004
Collection:
CiteSeerX
Document Type:
Fachzeitschrift text
File Description:
application/pdf
Language:
English
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Accession Number:
edsbas.7C879F15
Database:
BASE

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It is well-known and elementary to show that for any prime p = 2, 5, the decimal expan-sion of 1/p is periodic with period dividing p − 1. In fact, the period is p − 1 if and only if 10 is a primitive root (mod p). In 1836, Midy proved that if 1/p has even period 2d, then writing