The book is now available! 48
(another Prime Pages' Curiosity)
Prime Curios!
Curios: Curios Search:

Single Curio View:   (Seek other curios for this number)


The smallest possible sum for a set of four distinct primes such that the sum of any three is prime: {5, 7, 17, 19}.

Questions: Is there a prime quadruplet (of the form {p, p+2, p+6, p+8}) with this property? (Click here for answer.) How about prime sextuplets, where the sum of any five are prime? (Click here for answer.) Or greater admissible prime constellations (k-tuples) such that the sum of any k-1 primes is prime? Update: Jens Kruse Andersen has found that due to divisibility by small primes, there is no k from 7 to 50 for which there exists a prime k-tuplet such that the sum of any k-1 is prime.


  Submitted: 2013-03-30 12:36:40;   Last Modified: 2014-08-30 10:16:45.

Prime Curios! © 2000-2017 (all rights reserved)