1. ## Prime number problem

Please may somebody help me solve the following problem?
(or at least give me a guidance to which direction to go at it please )

Determine the least possible value of the largest term in an arithmetic progression of 7 distinct primes.

Thank you.

2. The sequense should be a,a+d,a+2d,a+3d,a+4d,a+5d,a+6d, but as they all need to be primes, what should d be?

3. I'm not sure sorry

4. Originally Posted by itsmewhoami
I'm not sure sorry
It must be a multiple of 2,3,5 and 7. Meaning d is a multiple of 210 (2*3*5*7)

5. Sorry ... but how and why will it be a multiple of 210 ?
Thank you for your patience ~ i appreciate the help and time.

6. I found this, it's a bit more pretty than what i came up with

Hope it helps, else ask for elaboration

Prime Arithmetic Sequence -- find smallest arithmetic progression of 7 distinct primes.

7. It does help a little, but I'm sorry, I think I'll have to ask for elaboration for why the d value has to be a multiple of 2, 3, 5 (and 7, to begin the problem solving).
Thank you again.