1093 (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:

[math]\displaystyle{ 1093 = 1111111_3 = 3^6 + 3^5 + 3^4 + 3^3 + 3^2 + 3^1 + 3^0 = \frac{3^7-1}{2} \, . }[/math]

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

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