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Find step-by-step Discrete math solutions and your answer to the following textbook question: Use Fermat’s little theorem to find $$ 7^{121} $$ mod 13..

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Find step-by-step Discrete math solutions and your answer to the following textbook question: Use Fermat's little theorem to find $$ 7^{121} $$ mod 13..

Step-by-step solution. 100% (33 ratings) for this solution. Step 1 of 3. The objective is to find the value of the provided module by use the Fermat’s little theorem. Chapter 4.4, Problem 34E is …

Sep 27, 2015 · By Fermat’s Little Theorem, 128 16 9 1 mod 17. Thus, 128129 91 9 mod 17. 4. (1972 AHSME 31) The number 21000 is divided by 13. What is the remainder? [Solution: 21000 3 mod 13] By Fermat’s Little Theorem, 212 1 mod 13. Thus, 21000 2400 240 24 16 3 mod 13. 5. Find 2925 mod 11. [Solution: 2925 10 mod 11] By Fermat’s Little Theorem, 29 10 7 ...

Apr 15, 2015 · Fermat's Little Theorem (FLT) is a handy tool to reduce exponents: as $13 mid50$, FLT gives $50^{12}\equiv1\pmod{13}$. We can use this as follows: $$50^{50}=50^{4\cdot12}\cdot50^2=(50^{12})^4\cdot50^2\overset{\rm\small FLT}\equiv1^4\cdot50^2=50^2\pmod{13}$$ and look, we've reduced the exponent from $50$ to $2$ by subtracting a multiple of $12 ...

Use Fermat’s little theorem to find 7^121 mod 13. Use Fermat’s little theorem to find 23^1002 mod 41. Use Fermat’s little theorem to compute. 3^302 mod 5 =. 3^302 mod 7 =. 3^302 mod 11 =. Use your results from previous question and the Chineseremainder. theorem to find 5^302 mod 385. (Note that 385 = 5 · 7 · 11.)

Use Fermat's little theorem to find 7121 mod 13. check_circle. Expert Answer. Want to see the step-by-step answer ...

Use Fermat’s little theorem to find 7^121 mod 13. Use Fermat’s little theorem to find 23^1002 mod 41. Use Fermat’s little theorem to compute. 3^302 mod 5 =. 3^302 mod 7 =. 3^302 mod 11 =. Use your results from previous question and the Chineseremainder. theorem to find 5^302 mod 385. (Note that 385 = 5 · 7 · 11.)

Apr 20, 2021 · a p-1 ≡ 1 (mod p) OR. a p-1 % p = 1. Here a is not divisible by p. Take an Example How Fermat’s little theorem works. Examples: P = an integer Prime number a = an integer which is not multiple of P Let a = 2 and P = 17 According to Fermat's little theorem 2 17 - 1 ≡ 1 mod (17) we got 65536 % 17 ≡ 1 that mean (65536-1) is an multiple of 17.

Use Fermat's little theorem to find 7^121 mod 13.Use Fermat's little theorem to find 23^1002 mod 41.Use Fermat's little theorem to compute3^302 .

By Fermat's Little Theorem, 36 ≡ 1 mod 7. Thus, 331 ≡ 31 ≡ 3 mod ... 13. 5. Find 2925 mod 11. [Solution: 2925 ≡ 10 mod 11]. By Fermat's ...

Image transcriptions 121 7 ( mod 13 ) Hexe We have P= 13 , 1= 7, m= 121 From Fexmaty little theorem that when 'a' is not divided with P , we take.

14.04.2015 · I don't understand how to use Fermat's little theorem to find remainders e.g if we are asked to ... since $50^{50}$ is a big number probably you want to reduce the exponent and base, without affecting the value modulo $13$. Fermat's Little Theorem (FLT) is a handy tool to reduce exponents: as $13\nmid50$, FLT gives $50^{12 ...

Fermat’s Little Theorem Solutions Joseph Zoller September 27, 2015 Solutions 1. Find 331 mod 7. [Solution: 331 3 mod 7] By Fermat’s Little Theorem, 36 1 mod 7. Thus, 331 31 3 mod 7. 2. Find 235 mod 7. [Solution: 235 4 mod 7] By Fermat’s Little Theorem, 26 1 …

I would have gone for the 2's: 8103=2309≡29≡16⋅16⋅2≡3⋅3⋅2≡18≡5(mod13),. still using Fermat's Little Theorem.

Find step-by-step Discrete math solutions and your answer to the following textbook question: Use Fermat’s little theorem to find $$ 23^{1002} $$ mod 41..

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Discrete Mathematics and Its Applications (7th Edition) Edit edition Solutions for Chapter 4.4 Problem 33E: Use Fermat's little theorem lo find 7121 mod 13. … Solutions for problems in chapter 4.4 1E

Find step-by-step Discrete math solutions and your answer to the following textbook question: Use Fermat’s little theorem to find $$ 7^{121} $$ mod 13..

Use Fermat’s little theorem to find 7^121 mod 13. Use Fermat’s little theorem to find 23^1002 mod 41. Use Fermat’s little theorem to compute. 3^302 mod 5 =. 3^302 mod 7 =. 3^302 mod 11 =. Use your results from previous question and the Chinese remainder. theorem to find 5^302 mod 385. (Note that 385 = 5 · 7 · 11.)

Use Fermat's little theorem lo find 7121 mod 13. Step-by-step solution. 100% (15 ratings) for this solution. Step 1 of 4. The value of by using Fermat's ...