Find the least positive number, N, that leaves the same remainder, 2, for each of mod 3, mod 4 and mod 5. Select one: a. 2x3x4x5. b. (3 x 4) + (4 x 5) c. 3x4x5. d. 2+(3 x 4 x 5).
Added by Michael M.
Close
Step 1
This means that N is two more than a multiple of 3, 4, and 5. Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 74 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If $n$ is an integer, what is the remainder when $3 x^{(2 n+3)}-4 x^{(2 n+2)}+5 x^{(2 n+}$ 1) $-8$ is divided by $x+1 ?$ (A) $-20$ (B) $-10$ (C) $-4$ (D) 0 (E) The remainder cannot be determined.
Find the smallest positive integer n such that 5^n mod 7 = 1. (b) Use the previous result, modular arithmetic and laws of exponents from basic algebra to find 5^{236} mod 7. Show your work.
Eric C.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD