Question

Find the smallest positive integer n for which n2 + n + 17 is composite.

Find the smallest positive integer n for which n2 + n + 17 is composite.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the smallest positive integer whose cube ends in 888 (of course, do this without a...
Find the smallest positive integer whose cube ends in 888 (of course, do this without a calculator or computer).
Prove that there is no positive integer n so that 25 < n2 < 36. Prove...
Prove that there is no positive integer n so that 25 < n2 < 36. Prove this by directly proving the negation. Your proof must only use integers, inequalities and elementary logic. You may use that inequalities are preserved by adding a number on both sides, or by multiplying both sides by a positive number. You cannot use the square root function. Do not write a proof by contradiction.
Find the smallest positive integer x such that: x mod 2=1 x mod 3=2 and x...
Find the smallest positive integer x such that: x mod 2=1 x mod 3=2 and x mod 5=3 What is the next integer with this property?
Let m be a composite positive integer and suppose that m = 4k + 3 for...
Let m be a composite positive integer and suppose that m = 4k + 3 for some integer k. If m = ab for some integers a and b, then a = 4l + 3 for some integer l or b = 4l + 3 for some integer l. 1. Write the set up for a proof by contradiction. 2. Write out a careful proof of the assertion by the method of contradiction.
Suppose for each positive integer n, an is an integer such that a1 = 1 and...
Suppose for each positive integer n, an is an integer such that a1 = 1 and ak = 2ak−1 + 1 for each integer k ≥ 2. Guess a simple expression involving n that evaluates an for each positive integer n. Prove that your guess works for each n ≥ 1. Suppose for each positive integer n, an is an integer such that a1 = 7 and ak = 2ak−1 + 1 for each integer k ≥ 2. Guess a...
a. Find an algorithm for solving the following problem: Given a positive integer n, find the...
a. Find an algorithm for solving the following problem: Given a positive integer n, find the list of positive integers whose product is the largest among all the lists of positive integers whose sum is n. For example, if n is 4, the desired list is 2, 2 because 2 × 2 is larger than 1 × 1 × 1 × 1, 2 × 1 × 1, and 3 × 1. If n is 5, the desired list is 2,...
The least common multiple of nonzero integers a and b is the smallest positive integer m...
The least common multiple of nonzero integers a and b is the smallest positive integer m such that a | m and b | m; m is usually denoted [a,b]. Prove that [a,b] = ab/(a,b) if a > 0 and b > 0.
Show that, for any positive integer n, n lines ”in general position” (i.e. no two of...
Show that, for any positive integer n, n lines ”in general position” (i.e. no two of them are parallel, no three of them pass through the same point) in the plane R2 divide the plane into exactly n2+n+2 regions. (Hint: Use the fact that an nth line 2 will cut all n − 1 lines, and thereby create n new regions.)
Let n be a positive integer and let U be a finite subset of Mn×n(C) which...
Let n be a positive integer and let U be a finite subset of Mn×n(C) which is closed under multiplication of matrices. Show that there exists a matrix A in U satisfying tr(A) ∈ {1,...,n}
What is the smallest positive integer x satisfying x ≡ 1 mod 9, x ≡ 6...
What is the smallest positive integer x satisfying x ≡ 1 mod 9, x ≡ 6 mod 10, x ≡ 4 mod 11?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT