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{{infobox number
| number  = 1093
| prime  = yes
| divisor = 1, 1093
}}
 
'''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&nbsp;3 because:
 
:<math>1093 = 1111111_3 = 3^6 + 3^5 + 3^4 + 3^3 + 3^2 + 3^1 + 3^0 \, .</math>
 
==References==
* [http://books.google.de/books?id=-nEM9ZVr4CsC&pg=PA237&lpg=PA237&dq=1093+ribenboim&source=bl&ots=pGk1wOhRw8&sig=667-Ujva5uVL-8PUAzXwsm7GQOc&hl=de&ei=7uxfTZ2zMsTLswbQluy1CA&sa=X&oi=book_result&ct=result&resnum=1&ved=0CBgQ6AEwAA#v=onepage&q&f=false Die Welt der Primzahlen] p. 237
* [http://www.scribd.com/doc/35180646/Ribenboim-Die-Welt-der-Primzahlen] p.240
* [http://books.google.de/books?id=5sB1T_-jGSQC&pg=PA224&lpg=PA224&dq=1093+ribenboim&source=bl&ots=ypLZ9qG1ft&sig=up-QqR8dIcRFP3gUgHzzB-BpAwM&hl=de&ei=7uxfTZ2zMsTLswbQluy1CA&sa=X&oi=book_result&ct=result&resnum=5&ved=0CC4Q6AEwBA#v=onepage&q=1093%20ribenboim&f=false Meine Zahlen, meine Freunde] p.223
* [http://www.virtuescience.com/1093.html The Number 1093]
* [http://www.numbergossip.com/1093 Number Gossip: 1093]
* [http://primes.utm.edu/curios/page.php?short=1093 Prime Curios!: 1093]
 
[[Category:Integers|199e03 1093]]

Revision as of 23:09, 16 January 2014

Template:Infobox number

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:

1093=11111113=36+35+34+33+32+31+30.

References