## Monday, March 14, 2016

### Sequence of Prime Numbers --non-random?!

There’s a stunningly simple new observation about prime numbers.  It’s a conjecture that may be suitable for a Nobel prize.  Prime numbers are positive integers that can only result in integers as quotients when divided by themselves or by 1.  They aren’t “factorable.”  2,3,5,7,11,13,17,19,23 and so on are primes.  Prime numbers appear to be infinite in number.  They have been assumed to be random in pattern.  This randomness is false, according to a very sensible new conjecture, which says that for a prime number, the next (immediately higher) prime number is unlikely to have the same final digit as its predecessor prime.

Kannan Soundararajan and Robert Lemke Oliver of Stanford University present both numerical and theoretical evidence that prime numbers repel other would-be primes that end in the same digit, and have varied predilections for being followed by primes ending in the other possible final digits.”

So says a conjecture reported by Ericka Klarreich of Quanta magazine on March 13, 2006, as explained and quoted immediately above at https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/

Soundarajan and Olivier have published a paper on this conjecture that is linkable at http://arxiv.org/abs/1603.03720