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 6n-1 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...
- 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 ...
- Algebra - True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence...
- 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 ...
- math - help me with sequences problem.So if the sequence is 2,5,10,17,26 +3 +5 +...

More Related Questions