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

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shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0p 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..

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0p + 1 is even right?

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0yes..maybe even i made a breakthrough,,i shall just post something..

Herp_Derp
 3 years ago
Best ResponseYou've already chosen the best response.2p 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

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0exactly what i was going to post.. :D

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0thank you buddies :)

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0:) welcome though I didn't help

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0well you gave my question time..thats not a small thing! ;)

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0You made me feel proud haha
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