ⓘ 1093 (number)

                                     

ⓘ 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:

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