[I][The following post is about 281*2^6288981, a prime found by Cruelty in December 2007.][/I]
Cruelty, a nice and important prime because k=281 was the only k<300 with no primes with more than 100k bits! Next target: 200k bits, there are 4 Ks with no primes larger than 200k bits: k=109, 221, 233, and 283. All reserved by you !! The one with the minmax prime is k=221: n=104846. 
The 4 Ks < 300 with minmax (smallest largest) primes are now:
k=221, n=104846 k=109, n=141227 k=283, n=149351 k=233, n=179992 All tested to 600k, and all currently reserved by Cruelty. 
MinMax Status Update
Last time mentioned [URL="http://mersenneforum.org/showpost.php?p=121536&postcount=118"]here[/URL]
The only two k<300 with largest known prime smaller than 200k bits are now: k=283, n=149351 k=233, n=179992 Both tested to 920k and reserved by Cruelty. 
Update on k<300 minmax primes:
[CODE] k largest prime 233 179992 13 233207 191 240802 249 251036[/CODE] All are tested up to n=1M or more. The largest primes of all other Ks have 300k digits or more. k=283 was removed from the top of the list by Cruelty. Its largest prime was at n=149351, but now it's at n=1702599. The previous status can be found [URL="http://www.mersenneforum.org/showpost.php?p=121536&postcount=118"]here[/URL]. 
I moved this discussion to a separate thread.
In the meanwhile the following primes were found 233*2^17007341 by Cruelty, July 2010 13*2^26060751 by Curtis, December 2011 13*2^26429431 by Curtis, February 2012 Therefore, there are now only three k<300 which largest known prime has less than 300k binary bits: k=191 at n=240802, tested up to n=4.2M k=249 at n=251036, tested up to n=1.1M k=151 at n=263895, tested up to n=2.9M All other k<300 have largest known primes with more than 300k bits. 
151 263895 is under 300k bits.
I count 7 others below 500k bits: 7 372897 37 341365 43 399767 225 491135 239 356300 275 398928 295 389903 Curtis 
Curtis, thanks for listing other candidates and specially for the correction about k=151, I missed that one. :smile:

All times are UTC. The time now is 06:53. 
Powered by vBulletin® Version 3.8.11
Copyright ©2000  2021, Jelsoft Enterprises Ltd.