(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if p and p+2 are twins prime and p+1 is triangular number, then find all twin primes.

2. Relevant equations

Tn is a triangular number if Tn=1+2+...+n = n(n+1) / 2

3. The attempt at a solution

p+1 = n(n+1) / 2 because p+1 is a triangular number

p , p+1 , p+2 are terms in succession

p is prime, p+2 is prime so 3 divide p+1 --> 3/p+1

sure the p+1 is even number because is between of two prime

so p+1 has the form 6k

i don't how to continue.. can someone help me??

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# Homework Help: Number of theory

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