Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I got this statement by upcoming mathematician Prof. Gandhi from BITS:

"All twin primes from $17$ who are the smallest elements of a pair of twin primes, can be rewritten as: $(a + b + 1)$ such that $a$, $(a+2)$, $b$ and $(b+2)$ are primes".

I checked with my own examples, $17 = 5+11+1$; $29 = 11+17+1$; 41=11+29+1; $59 = 29+29+1=17+41+1$, $71=11+59+1$

So far I have not found any counterexamples.

Could you discuss or comment on cited conjecture? I am looking for discussion.

share|improve this question

closed as not a real question by Raskolnikov, Jyrki Lahtonen, Kannappan Sampath, Asaf Karagila, Henning Makholm Feb 27 '12 at 0:59

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

This website is specifically designed to preclude discussion. But anyway the conjecture is almost surely true and absolutely surely hopeless. I say it's almost surely true because we have good conjectural estimates on the number of twin primes up to any given $N$, and then the same heuristics that make the Goldbach conjecture a dead certainty apply. –  Gerry Myerson Feb 27 '12 at 0:01