81. Prime News quite safe. For more information see News Article from the times; goldbach'sconjecture from the Prime Glossary; Verifying goldbach's http://www.utm.edu/cgi-bin/caldwell/bubba/research/primes/cgi/news/

Prime News We at the Prime Pages have decided to begin a page highlighting news related to prime numbers. If you have any news items, please let us know NEWS ITEMS (reverse chronological order) Chris Caldwell (no email) from 206.240.202.158 at 03/22/00 08:19AM Title One million dollars offered for Goldbach proof News Item ASSOCIATED PRESS, LONDON, March 17 THE THEORY, known as Goldbach’s Conjecture, was suggested by the Prussian mathematician Christian Goldbach in 1742. It’s easy enough to think of an even number that is the sum of two prime numbers — those which cannot be divided evenly by any number except themselves. For instance, 5 plus 7 equals 12, or 67 plus 3 equals 70. But so far it has been impossible to prove that it works for every imaginable even number. Faber and Faber, in conjunction with Bloomsbury Publishing in the United States, announced the challenge Friday to promote the coming release of “Uncle Petros and Goldbach’s Conjecture,” by Apostolos Doxiadis The proof must be completed wthin two yearsso most likely the publisher is quite safe. For more information see: News Article from the times Goldbach's conjecture from the Prime Glossary Verifying Goldbach's Conjecture up to 4 x 10 by Joerg.Richstein

82. Mathematical Mysteries: The Goldbach Conjecture Plus Online Maths Magazine Regular Item http://pass.maths.org.uk/issue2/xfile

PRIME NRICH PLUS Current Issue ... Subject index Issue 22: Jan 03 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 Mathematical mysteries: the Goldbach conjecture Prime numbers provide a rich source of speculative mathematical ideas. Some of the mystical atmosphere that surrounds them can be traced back to Pythagoras and his followers who formed secret brotherhoods in Greece, during the 5th Century BC. The Pythagoreans believed that numbers had spiritual properties. The discovery that some numbers such as the square root of 2 cannot be expressed exactly as the ratio of two whole numbers was so shocking to Pythagoras and his followers that they hushed up the proof! Today, prime numbers are fascinating but they are also of commercial importance, since the best commercial and military ciphers depend on their properties. (See " Discovering new primes " in Issue 1 - it is yet to be proved that there are infinitely many Mersenne primes.)

83. Unsolved Problem 5 29Jan-1995 Unsolved Problem 5 Is every even integer larger than 2the sum of two primes? A prime number is an integer larger than http://cage.rug.ac.be/~hvernaev/problems/Problem5.html

29-Jan-1995 Unsolved Problem 5: Is every even integer larger than 2 the sum of two primes? A prime number is an integer larger than 1 whose only positive divisors are 1 and itself. For example, the even integer 50 is the sum of the two primes 3 and 47. Reference: [Beiler 1966] Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertain. 2nd edition. Dover. New York: 1966. Page 225. Each week, for your edification, we publish a well-known unsolved mathematics problem. These postings are intended to inform you of some of the difficult, yet interesting, problems that mathematicians are investigating. We do not suggest that you tackle these problems, since mathematicians have been unsuccessfully working on these problems for many years. general references previous problem problem archive next problem ... electronic publications

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