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1093 is the natural number following 1092 and preceding 1094.

1093 is a prime number. Together with 1091 and 1097, it forms a prime triplet. It is a happy prime and a star prime. It is also the smallest Wieferich prime. 1093 is a repunit prime in base 3 because:

${\displaystyle 1093=1111111_{3}=3^{6}+3^{5}+3^{4}+3^{3}+3^{2}+3^{1}+3^{0}={\frac {3^{7}-1}{2}}\,.}$

References

• Ribenboim, Paulo (2006-09-21). Die Welt Der Primzahlen (in German). Springer Berlin Heidelberg. ISBN 978-3-540-34284-7. p. 237
• "Ribenboim - Die Welt der Primzahlen". web.archive.org. 2012-11-06. Retrieved 2024-12-29. p. 240
• Ribenboim, Paulo (2009-02-18). Meine Zahlen, meine Freunde (in German). Springer Berlin Heidelberg. ISBN 978-3-540-87957-2. p. 223
• "The Number 1093: Properties and Meanings". www.virtuescience.com. Retrieved 2024-12-29.
• "Number Gossip: 1093". www.numbergossip.com. Retrieved 2024-12-29.
• "Prime Curios! 1093". t5k.org. Retrieved 2024-12-29.

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