"RESOLUTION OF THE MIXED SIERPINSKI PROBLEM" PUBLISHED!

烦人

(posted by louis helm)
The discovery of SB's 10th prime last year was a huge breakthrough for SB. But now it has also helped prove a new mathematical theorem as well. Phil Moore and I were recently able to author and publish a journal paper in INTEGERS that establishes the Mixed Sierpinski Theorem. Huge thanks to Phil Moore for his independent verification of the prime 67607 + 2^16389 and for spearheading the effort to formally publish our research. Thanks are also in order for legendary prime researcher and co-author Payam Samidoost whose foundational work with dual primes forms the basis of our proof. And of course, none of this would be computationally feasible without GIMPS founder and co-author George Woltman.

The full paper is available here or you can retrieve it directly from INTEGERS by scrolling down to paper #A61 here.

Thanks again to all SB participants for everything you do. We really appreciate you. Have a Merry Christmas and a wonderful 2009!

http://users.ece.utexas.edu/~helm/integersV8A61.pdf

[ 本帖最后由 烦人 于 2008-12-29 22:29 编辑 ]

fwjmath

项目第十个质数的发现对SoB项目来说是一个巨大的突破。但现在这个结果同时也帮助证明了一个新的数学定理。Phil Moore 和我最近在期刊 INTEGER 上发表了一篇论文，证明了混合谢尔品斯基定理。感谢 Phil Moore 独立进行的对 67607 + 2^16389 的素性检验，还有他为正式发表这项研究结果所作出的努力。同样感谢传奇式的质数研究者和论文共同作者 Payam Samidoost，他关于对偶质数的工作是我们证明的基础。当然，如果没有GIMPS的创立者和论文共同作者 George Woltman 的努力，我们所需的计算根本就实现不了。
再次感谢所有参与者的工作！祝圣诞和新年快乐！
（注：混合谢尔品斯基猜想指的是 k=78557 是最小的满足对于任意自然数n，k*2^n+1与k+2^n均为合数的奇数。）