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1093 is the number following 1092 and preceding 1094[1].

Properties[]

  • 1093 is a centered dodecagonal number.[9]
  • 1093 is deficient.[10]
  • 1093 is the smallest Wieferich prime, as \(1093^2 = 1,194,649\) divides \(2^{1092}-1\).[11]

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 33 ↑ 2
Scientific notation 1.093 x 103 1.094 x 103
Slow-growing hierarchy \(g_{\omega^{\omega}}(4)\) \(g_{\omega^{\omega}}(5)\)
Copy notation 10[2] 1[4]
Chained arrow notation 33 → 2
Bowers' Exploding Array Function/Bird's array notation {33,2}
Fast-growing hierarchy f2(7) f2(8)
Hardy hierarchy Hω(546) Hω(547)
Middle-growing hierarchy m(ω,10) m(ω,11)
Hyper-E notation E3.0386
Hyper-E notation (non-10 base) \(E[33]2\)
Hyperfactorial array notation 6! 7!
X-Sequence Hyper-Exponential Notation 33{1}2
Steinhaus-Moser Notation 4[3] 5[3]
PlantStar's Debut Notation [1] [2]
H* function H(0) H(0.1)
Bashicu matrix system with respect to version 4 (0)[33] (0)[34]
m(n) map m(1)(4) m(1)(5)
s(n) map \(s(1)(\lambda x . x+1)(545)\) \(s(1)(\lambda x . x+1)(546)\)

Sources[]

  1. Wolfram Alpha 1093
  2. OEIS A000040 - Primes
  3. Wolfram Alpha Is 1093 prime?
  4. Wolfram Alpha 1093's factors
  5. OEIS A005408 - Odd numbers
  6. Wolfram Alpha Is 1093 odd?
  7. Wolfram Alpha Happy Numbers
  8. OEIS A007770 - Happy Numbers
  9. OEIS A003154 - Centered hexagonal numbers
  10. OEIS A005100 - Deficient numbers
  11. OEIS A001220 (Wieferich primes: primes p such that p^2 divides 2^(p-1) - 1.) Retrieved 2025-01-12.




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