20120226, 16:29  #1 
Dec 2009
3^{3} Posts 
Highly composite polynomials.
"Other polynomials of this type include n^6 + 29450922301244534, which was discovered by Carmody in 2006 (Rivera) and is prime for 63693"
http://mathworld.wolfram.com/PrimeG...olynomial.html Why did they not publish a better solution? Why not 100000, 200000, ...? Last fiddled with by ewmayer on 20130217 at 20:02 Reason: grammar fixed at author request 
20120226, 16:50  #2 
Dec 2009
3^{3} Posts 
625567359447343581348856464285098545399036422015846188212576\
005216959264198326888770861800982403133642359585169933857500\ 94682865830363609 291648 
20120227, 04:16  #3  
Jun 2003
2·2,591 Posts 
Quote:
What is this supposed to represent? 

20120227, 05:01  #4 
Romulan Interpreter
"name field"
Jun 2011
Thailand
9808_{10} Posts 
I assume (from the page on mathworld linked by the OP) that the first number is a prime generated by the polynomial when x is substituted with the second (red) value. What is used for, no idea...
Last fiddled with by LaurV on 20120227 at 05:04 
20120227, 05:22  #5  
Jun 2003
2·2,591 Posts 
Quote:
EDIT: Figured it out. The generating polynomial is n^6+ 625567...63609 and its first prime is found at n=291648. Which is superficially better than the first polynomial, but, once you factor in the average size of the numbers generated, is relatively worse. Last fiddled with by axn on 20120227 at 05:28 

20120227, 14:11  #6 
Dec 2009
3^{3} Posts 

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