remainder problem....

JEE Advanced Coaching › Algebra questions › remainder problem....

find the remainder when 2¹⁹⁹⁰ is divided by 1990?

#Mathematics #Algebra

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262

Aditya Bhutra ·2012-02-14 23:15:07

is it 687 ?

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1057

Ketan Chandak ·2012-02-15 03:15:16

no.....using java program i found out de answer to be 1024 but i dont know the method to solve it...is it something to do with fermat's little theorem???

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262

Aditya Bhutra ·2012-02-15 04:29:25

fermats is for primes ,
using eulers totient function , it can be reduced to 2⁶⁹â‰¡(mod 995)

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johncenaiit ·2012-02-15 08:34:21

http://answers.yahoo.com/question/index?qid=20080829233721AAo0yuM

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fahadnasir nasir ·2012-02-15 13:07:09

Nice solution

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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remainder problem....

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