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
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