Question

Is 4^3072 - 9^4824 divisible by 65? use fermat's little theorem. Make sure to show every...

Is 4^3072 - 9^4824 divisible by 65? use fermat's little theorem.

Make sure to show every work.

Especially solving 9^24 mod 65 = 1

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use Fermat's Little Theorem to compute the following remainders for 44824482 (Always use canonical representatives.) 4^482=...
Use Fermat's Little Theorem to compute the following remainders for 44824482 (Always use canonical representatives.) 4^482= ? mod 5 4^482 = ? mod 7 4^482= ? mod 11 Use your answers above to find the canonical representative of 4482 mod 3854482 mod 385 by using the Chinese Remainder Theorem. [Note 385=5⋅7⋅11385=5⋅7⋅11 and that Fermat's Little Theorem cannot be used to directly find 4482 mod 3854482 mod 385 as 385 is not a prime and also since it is larger than...
Compute 2017^2017 mod 13 Please show all steps and use Fermat's Little Theorem
Compute 2017^2017 mod 13 Please show all steps and use Fermat's Little Theorem
Use Fermat's Little theorem to solve: 6^400 (mod 37)
Use Fermat's Little theorem to solve: 6^400 (mod 37)
Using Fermat’s Little theorem, find the multiplicative inverse of 4 in mod 13. Show your work....
Using Fermat’s Little theorem, find the multiplicative inverse of 4 in mod 13. Show your work. Using Euler’s theorem, find 343 mod 11.
Use congruences to verify that 89|244 –1 and 97|248 –1 use Fermat’s Little Theorem if possible,...
Use congruences to verify that 89|244 –1 and 97|248 –1 use Fermat’s Little Theorem if possible, show all work and explain all reasoning.
Use Fermat’s Theorem to show thata1104≡1 (mod 1105)for any a that is relatively prime to1105. That...
Use Fermat’s Theorem to show thata1104≡1 (mod 1105)for any a that is relatively prime to1105. That is,1105is a Carmichael number. You may use the factorizations 1105 = 5·13·17 1104 = 24·3·2
***PLEASE SHOW ALL WORK AND COMMANDS FOR HOW TO DO IN SAGE APPLICATION*** Use the construction...
***PLEASE SHOW ALL WORK AND COMMANDS FOR HOW TO DO IN SAGE APPLICATION*** Use the construction in the proof of the Chinese remainder theorem to find all solutions to the system of congruences x ≡ 1 (mod 2) x ≡ 2 (mod 3) x ≡ 3 (mod 5) x ≡ 4 (mod 11).
Show all your work. Make sure every number has a unit and you show the equations...
Show all your work. Make sure every number has a unit and you show the equations in the variable form before plugging in values. Lava is around 1200 C. If you have 1000 kg of lava, which has a specific heat of lava is 0.84x103 J/(kg C). How many 1 kg bags of ice cubes, with a specific heat of 4186 J/(kg C) at 0 C, will it take to raise the lava temperature to 22 C? The latent heat...
Evaluate the following cases to determine if they are fair use. Make sure you address all...
Evaluate the following cases to determine if they are fair use. Make sure you address all four points for each case. The four points to consider are: amount and significance of work used purpose and nature of use: commercial vs. non-profit educational nature of the original work: creative vs. factual impact to market of the original work Cases Case 1: A photographer takes a photo of another (living) artist's work and incorporates it into a photographic print that he sells...
Show all of your work in each question. In parts (d), (e), and (g) make sure...
Show all of your work in each question. In parts (d), (e), and (g) make sure to set up your null and alternative hypotheses and write your conclusions. Also, please round your numbers to 2 decimal points. Write legibly and neatly. You can use p-value approach or critical-value approach in writing the conclusions of your hypotheses. A large firm employing tens of thousands of workers has been accused of discriminating against its female managers. The accusation is based on a...