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Show that if p and p + 2 with p ≥ 5, are both primes then
the number p + 1 is always divisible by 6.
 one year ago
 one year ago
Show that if p and p + 2 with p ≥ 5, are both primes then the number p + 1 is always divisible by 6.
 one year ago
 one year ago

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shubhamsrgBest ResponseYou've already chosen the best response.0
p and p+2 are surely odd,, thus p+1 is even > hence p+1 is always divisible by 2. we now need to prove p+1 is also divisible by 3..am stuck there..
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
p + 1 is even right?
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
yes..maybe even i made a breakthrough,,i shall just post something..
 one year ago

Herp_DerpBest ResponseYou've already chosen the best response.2
p is either equivalent to 1 mod 3 or 2 mod 3. then p+2 is the other one. So p+1 must be 0 mod 3
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
exactly what i was going to post.. :D
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
thank you buddies :)
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
:) welcome though I didn't help
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
well you gave my question time..thats not a small thing! ;)
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
You made me feel proud haha
 one year ago
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