Question

How do I prove "there are no integers k > 1 and n > 0 such...

How do I prove "there are no integers k > 1 and n > 0 such that k^2 +1 = 2^n.

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
Prove n+1 < n for n>0 Assume for a value k; K+1< K We now do...
Prove n+1 < n for n>0 Assume for a value k; K+1< K We now do the inductive hypothesis, by adding 1 to each side K+1+1 < k+1 => K+2< k+1 Thus we show that for all consecutive integers k; k+1> k Where did we go wrong?
. Prove that, for all integers n ≥ 1, Pn i=1 i(i!) = (n + 1)!...
. Prove that, for all integers n ≥ 1, Pn i=1 i(i!) = (n + 1)! − 1
Prove that for fixed positive integers k and n, the number of partitions of n is...
Prove that for fixed positive integers k and n, the number of partitions of n is equal to the number of partitions of 2n + k into n + k parts. show by using bijection
Let a, b, and n be integers with n > 1 and (a, n) = d....
Let a, b, and n be integers with n > 1 and (a, n) = d. Then (i)First prove that the equation a·x=b has solutions in n if and only if d|b. (ii) Next, prove that each of u, u+n′, u+ 2n′, . . . , u+ (d−1)n′ is a solution. Here,u is any particular solution guaranteed by (i), and n′=n/d. (iii) Show that the solutions listed above are distinct. (iv) Let v be any solution. Prove that v=u+kn′ for...
prove that n^3+2n=0(mod3) for all integers n.
prove that n^3+2n=0(mod3) for all integers n.
Prove Summation of integers from 1 to n is n(n-1)/2
Prove Summation of integers from 1 to n is n(n-1)/2
Prove that lim n^k*x^n=0 as n approaches +infinity. Where -1<x<1 and k is in N.
Prove that lim n^k*x^n=0 as n approaches +infinity. Where -1<x<1 and k is in N.
Show that for all positive integers n ∑(from i=0 to n) 2^i=2^(n+1)−1 please use induction only
Show that for all positive integers n ∑(from i=0 to n) 2^i=2^(n+1)−1 please use induction only
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove...
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove that n91 ≡ n7 (mod 91) for all integers n. Is n91 ≡ n (mod 91) for all integers n ?
Use Mathematical Induction to prove that 3 | (n^3 + 2n) for all integers n =...
Use Mathematical Induction to prove that 3 | (n^3 + 2n) for all integers n = 0, 1, 2, ....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT