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 2020-07-06, 17:00 #1662 sweety439     Nov 2016 214110 Posts The "top 10 primes" for R55 has the prime 68*55^29173-1, however, 68*55^1-1 = 3739 is prime, thus this prime is not the first prime for k=68
2020-07-06, 17:33   #1663
gd_barnes

May 2007
Kansas; USA

100111101111102 Posts

Quote:
 Originally Posted by sweety439 The "top 10 primes" for R55 has the prime 68*55^29173-1, however, 68*55^1-1 = 3739 is prime, thus this prime is not the first prime for k=68

Good catch. This revealed an error in this base. k=608 (not k=68) was only tested up to n=25K. No prime was found. From this point forward k=608 was misread as k=68 and so k=68, despite having several small primes including at n=1, was tested for n>25K with a prime quickly found at n=29173.

So this brings to light the fact that k=608 has only been tested to n=25K and has never had a prime found.

I have updated the pages accordingly including removing the larger prime for k=68 and will begin a search 608*55^n-1 for n>25K.

Last fiddled with by gd_barnes on 2020-07-06 at 17:58

 2020-07-06, 20:15 #1664 gd_barnes     May 2007 Kansas; USA 100111101111102 Posts An odd state of affairs here: After all of that messing around with sieving 608*55^n-1 for n=25K-100K (and preparing to sieve n=100K-300K) because it was found to erroneously only have been tested to n=25K: 608*55^25062-1 is prime! Found by the 5th test in the sieve file! So R55 is back to 5 k's remaining. Last fiddled with by gd_barnes on 2020-07-06 at 20:15
 2020-07-19, 05:41 #1665 rebirther     Sep 2011 Germany 97716 Posts Reserving S88 to n=500k (250-500k) for BOINC
 2020-07-21, 18:11 #1666 pepi37     Dec 2011 After milion nines:) 2×653 Posts S 53 K4 S53 at 1.61M S53 -200K-305K -res sent to Gary Base released ( except K4 of course)

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