Riemann sphere

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:

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

References

• Die Welt der Primzahlen p. 237
• [1] p.240
• Meine Zahlen, meine Freunde p.223
• The Number 1093
• Number Gossip: 1093
• Prime Curios!: 1093