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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 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 (ktuples) such that the sum of any k1 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 ktuplet such that the sum of any k1 is prime.
Submitted: 20130330 12:36:40; Last Modified: 20140830 10:16:45.
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