OhhAskMe
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
All Activity
Q&A
Questions
Hot!
Unanswered
Users
Ask a Question
Dark Mode
Dirichlet’s Theorem on Arithmetic Progressions
IAm_Montse
asked
5 days
ago
0
like
0
dislike
0
like
0
dislike
it states that an+d is prime infinitely often for n, given gcd(a,b)=1. So is kp+1 prime infinitely often, given p is a prime and k a fixed integer?
certainly, k cannot be odd as for odd primes, kp+1 is div by 2. so do all even k work? tia
askmath
IAm_Montse
asked
5 days
ago
by
IAm_Montse
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
0
Answers
0
like
0
dislike
0
like
0
dislike
If you fix k and let p run through the primes, Dirichlet's theorem says nothing about your situation, since you don't have an arithmetic progression.
BrackCN
answered
5 days
ago
by
BrackCN
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
No related questions found
33.4k
questions
135k
answers
0
comments
33.7k
users
OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy