Question

What is the smallest positive common difference of a 6-term arithmetic progression consisting entirely of (positive) prime numbers?

Answer 1

@shubhamsrg ??

Answer 2

@phi ??

Answer 3

Off hand I don't know, but I would start with
http://www.mathsisfun.com/numbers/prime-numbers-to-10k.html
and see if any work. Unless you know another way to do this problem

Answer 4

0 maybe? o.O
otherwise I don't know any AP of 6 terms consisting only of prime numbers!

Answer 5

I am thinking the smallest possible is 2
Are there 6 primes in a row separated by 2 ? I don't know.

Answer 6

it is not 0

Answer 7

2 is not the answer !

Answer 8

Number theory is not my thing.

Answer 9

@ash2326 ???@Callisto ??

Answer 10

@Callisto ??

Answer 11

Oye, ye toh Brilliant.org hai!

Answer 12

hmm..
5 term AP mila mujhe, 6 term exist bhi karta hai ?
5,11,17,23,29

Answer 13

7,37,67,97,127,157 maybe? ^_^

Answer 14

[[ohcrap.meme]]

how did you do that!? :O :O

Answer 15

Yeh Brilliant.org pe tha -_-

Answer 16

ye hit an trial ka ques hai ? :/
koi solution bhi hoga tab ?

Answer 17

Maine toh hit and trial hi kara tha :-\

Answer 18

#TPK #genius :|

Answer 19

Waise toh maine trial and error se nahi kiya tha, thoda sa logic lagaya.

The difference must be even because agar woh odd hoga then ek na ek term toh even ho jayegi. Aur it must be a multiple of 3 warna ek term zaroor 3 ki multiple ho jayegi. Phir hit and trial kara aur dekha case-by-case

Answer 20

thanks !