
Glossary: Prime Pages: Top 5000: 
GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) NSW stands for Newman, Shanks, and Williams who wrote a paper [NSW1981] in the 1970’s on the integers of the form S_{2m+1} = ((1 + sqrt(2))^{2m+1} + (1  sqrt(2))^{2m+1})/2.This sequence begins: S_{1}=1, S_{3}=7, S_{5}=41, S_{7}=239, and S_{9}=1393. (These numbers arise when addressing the question "is there a finite simple group whose order is a square?") The NSW primes are obviously prime NSW numbers. The first few are S_{p} where p = 3, 5, 7, 19, 29, 47, 59, 163, 257, 421, 937, 947, 1493, 1901, 6689, 8087, and 9679. (The next is most likely 28753, a probableprime.)
See Also: FibonacciPrime Related pages (outside of this work)
References:
Chris K. Caldwell © 19992019 (all rights reserved)
