Entered Answer Preview Result Message 4 4 correct 147 147 correct 1576 1576 incorrect 0, 1, 2, 3, 4, 5 0, 1, 2, 3, 4, 5 17% correct Your first number is incorrect Your third number is incorrect Your fourth number is incorrect Your fifth number is incorrect Your sixth number is incorrect 2 2 correct 3 3 correct At least one of the answers above is NOT correct. (1 point) The Miller-Rabin primality test is based around the following observation. If p is prime and x² = 1 mod p then x = ±1 mod p. Note that x = -1 mod p and x = p-1 mod p mean the same thing. We will use the Miller-Rabin test to test n = 2353 for primality. To do this we will closely examine an-1 mod n for various integers a. First we divide out all of the 2's from n We can write n − 1 = 2ur where u = 4 is maximal, and r = 147 = 1. Now we randomly select some a Є Zn, such as a = 1441. Initially we compute ar = 1576 mod n. If this number is 1 then the test is inconclusive and another a is selected (up until the number of a's determined by the security level). Otherwise we compute the list of values a²r, a 4r, ..., ..., a²r. Note a 2ª n-1 a Please enter this list for n = 2353 and a = 1441 in comma separated format. 0,1,2,3,4,5 When the list is computed one of a few things could happen. 1) The value 1 never occurs on the list. 2) The value -1 = p-1 mod p occurs on the list, immediately followed by 1. 3) The value 1 occurs in the list, but *not* preceded by -1. Which one of these possibilities holds in our case (enter the number)? 2 What conclusion should we draw from what we have done? 1) n is prime. 2) n is composite. 3) The test is inconclusive. 3

Decode the message without encoding techniques.(I need an explanation on how it's done.  Having diffulties. Thanks)   01001110 01100101 01110110 01100101 01110010 00100000 01100111 01101111 01101110 01101110 01100001 00100000 01100111 01101001 01110110 01100101 00100000 01111001 01101111 01110101 00100000 01110101 01110000 00001010 01001110 01100101 01110110 01100101 01110010 00100000 01100111 01101111 01101110 01101110 01100001 00100000 01101100 01100101 01110100 00100000 01111001 01101111 01110101 00100000 01100100 01101111 01110111 01101110 00001010 01001110 01100101 01110110 01100101 01110010 00100000 01100111 01101111 01101110 01101110 01100001 00100000 01110010 01110101 01101110 00100000 01100001 01110010 01101111 01110101 01101110 01100100 00100000 01100001 01101110 01100100 00100000 01100100 01100101 01110011 01100101 01110010 01110100 00100000 01111001 01101111 01110101 00001010 01001110 01100101 01110110 01100101 01110010 00100000 01100111 01101111 01101110 01101110 01100001…

Please translate 18,226 from the base ten system to the base five system.

SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE 5.- The owners of a house want to convert the front steps into a ramp. The porch is 5 feet above the ground and due to building regulations, the ramp must start 12 feet from the base of the porch. How long will the ramp be?