Posted by Andy on Thursday, December 23, 2010 at 2:36am.
A student claims that every prime greater than 3 is a term in the arithmetic sequence whose nth term is 6n + 1 or in the arithmetic sequence whose nth term is 6n  1. Is this true? if so, why?

math  drwls, Thursday, December 23, 2010 at 3:52am
Yes, it is true.
All PRIME numbers above 3 are of the form 6n − 1 or 6n + 1, because all other numbers are divisible by 2 or 3.
That is, the other numbers above 3 (that cannot be written as 6n1 or 6n+1) can be written 6n, 6n+2, 6n+3, or 6n+4. All of those are divisible by 2 or 3 and therefore cannot be prime.
(6n+5 can be written 6(n+1)1 where n+1 is the next integer)
Answer This Question
Related Questions
 math 213 #18  A student claims that every prime greater than 3 is a term in the...
 math  find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17...
 Algebra  True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence...
 Quick math help  Find the tenth term of the sequence: 6,1,8... Is it 57? For ...
 Quick Math Help  Find the tenth term of the sequence: 6,1,8... Is it 57? For ...
 Quick math help  Find the tenth term of the sequence: 6,1,8... Is it 57? For ...
 Math  1.) What is the formula for the nth term of the arithmetic sequence that ...
 Math  1. Find the 12th term of the arithmetic sequence 2, 6, 10, … . 2. Solve ...
 MATHEMATICS  THE FIFTH TERM OF AN ARITHMETIC SEQUENCE IS 23 AND THE 12TH TERM ...
 maths  The fith term of an arithmetic sequence is 23 and the 21th term is 72 ...
More Related Questions