Friday, 6 September 2013


I am amazed i didnt noticed this before.
Regards the bounded gap of prime numbers and  twin prime conjecture, a subject much loved by the great ErdÅ‘s.
For hundreds of years, mathematicians have speculated that there are infinitely many twin prime pairs. In 1849, French mathematician Alphonse de Polignac extended this conjecture to the idea that there should be infinitely many prime pairs for any possible finite gap, not just 2.
In April this year, a lecturer at the University of New Hampshire named Yitang Zhang surprised everyone when his new paper arrived in the inbox of Annals of Mathematics, a prominent journal.
With it, Zhang has broken through this barrier. His paper shows that there is some number N smaller than 70 million such that there are infinitely many pairs of primes that differ by N. No matter how far you go into the deserts of the truly gargantuan prime numbers — no matter how sparse the primes become — you will keep finding prime pairs that differ by less than 70 million.
Terence Tao, Fields medal in 2006,  has proposed a joint collaboration in the polymath project to lower that number,

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