1093 (number) explained

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 3 because:

1093 = 1111111 _{3} = 3 ^{6} + 3 ^{5} + 3 ^{4} + 3 ^{3} + 3 ^{2} + 3 ^{1} + 3 ^{0} = (3 ^{7-1})/(2) .

References

• Die Welt der Primzahlen p. 237
• https://web.archive.org/web/20121106155028/http://www.scribd.com/doc/35180646/Ribenboim-Die-Welt-der-Primzahlen p. 240
• Meine Zahlen, meine Freunde p. 223
• The Number 1093
• Number Gossip: 1093
• Prime Curios!: 1093