shubhamsrg
  • shubhamsrg
Show that if p and p + 2 with p ≥ 5, are both primes then the number p + 1 is always divisible by 6.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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shubhamsrg
  • shubhamsrg
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..
mathslover
  • mathslover
p + 1 is even right?
shubhamsrg
  • shubhamsrg
yep..

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mathslover
  • mathslover
hmn wait
shubhamsrg
  • shubhamsrg
yes..maybe even i made a breakthrough,,i shall just post something..
anonymous
  • anonymous
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
shubhamsrg
  • shubhamsrg
exactly what i was going to post.. :D
shubhamsrg
  • shubhamsrg
thank you buddies :)
mathslover
  • mathslover
:) welcome though I didn't help
shubhamsrg
  • shubhamsrg
well you gave my question time..thats not a small thing! ;)
mathslover
  • mathslover
You made me feel proud haha

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