[URL]http://harvey563.tripod.com/wills.txt[/URL]

See the link, R268, k=267 is tested to 200K, no prime was found.

I have found serious problems with R431. Many primes were found for n=3 and n=4 that turned out to be composite. Many composites were found for n=3 and n=4 that turned out to be prime. From what I can tell no lower or higher n-values had issues with their primality. Regardless because the problem was at such a low n-value many k's were affected so the list of k's remaining is completely incorrect.

Mark, I would not concern yourself with this. The base was searched in 2013 so it was an older version of PFGW. I believe that two problems may have caused it: The version of PFGW in question may have had issues testing small primes (A version around that time gave us a similar big problem with a huge base; something like base 66 or 79 or something of that nature.) -or- trial factoring may have been set to too low of a limit such as -f0 or -f10; something that PFGW would not expect for such small tests.

The base is not too large of a conjecture so I am starting from scratch and reserving R431 to n=25K. I will change the pages to show "testing just started". I am currently nearing completion to n=10K. I should be complete to n=25K within a couple of weeks. I am making it a priority over my other two reservations.

Hopefully that is the only one with such problems. I know that a lot of work has been redone on this project and others due to bugs various software programs that have been used in the past.

[QUOTE=gd_barnes;448420]I have found serious problems with R431. Many primes were found for n=3 and n=4 that turned out to be composite. Many composites were found for n=3 and n=4 that turned out to be prime. From what I can tell no lower or higher n-values had issues with their primality. Regardless because the problem was at such a low n-value many k's were affected so the list of k's remaining is completely incorrect.
<snip>
[/QUOTE]


[OT]Schroedingers Prime.[/OT]

R431 is complete to n=25K; 85 primes were found for n=10K-25K shown below; 328 k's remain; base released.

[code]
8450*431^10198-1
3764*431^10226-1
3478*431^10271-1
9194*431^10406-1
5182*431^10475-1
238*431^10679-1
4808*431^10698-1
2300*431^10776-1
6938*431^10982-1
9068*431^11266-1
1430*431^11280-1
5132*431^11504-1
8824*431^11511-1
10588*431^11697-1
11204*431^11874-1
6002*431^12372-1
2260*431^12549-1
7318*431^12757-1
7142*431^12806-1
9082*431^13091-1
13770*431^13111-1
32*431^13128-1
3558*431^13203-1
10980*431^13284-1
5524*431^13427-1
7592*431^13450-1
8684*431^13534-1
12980*431^13598-1
9790*431^13635-1
13402*431^13833-1
2912*431^13902-1
12964*431^13927-1
468*431^14167-1
2748*431^14425-1
2570*431^14686-1
244*431^14875-1
7364*431^14882-1
13994*431^14882-1
14338*431^15059-1
9002*431^15094-1
4478*431^15096-1
9242*431^15096-1
6980*431^15170-1
1570*431^15555-1
7658*431^15586-1
4720*431^15921-1
14548*431^16337-1
11728*431^16395-1
14690*431^16468-1
2578*431^16691-1
12320*431^16786-1
11832*431^16797-1
8928*431^17108-1
10784*431^17116-1
4132*431^17241-1
8814*431^17429-1
478*431^17463-1
7910*431^17776-1
10172*431^17792-1
7550*431^18082-1
254*431^18266-1
3272*431^18718-1
12744*431^18783-1
1714*431^18803-1
10220*431^19454-1
4660*431^19659-1
1318*431^19751-1
12922*431^20425-1
9338*431^20584-1
6182*431^20842-1
13850*431^21126-1
4120*431^21379-1
9892*431^21433-1
3142*431^22355-1
1730*431^22396-1
872*431^22540-1
11398*431^22983-1
3574*431^23149-1
6568*431^23325-1
13898*431^23482-1
13670*431^23860-1
6272*431^24236-1
8392*431^24329-1
11778*431^24792-1
6004*431^24875-1
[/code]

Progress update
 

K4 S467 510K

Reserving S320 to n=500k (200-500k) for BOINC

S320 tested to n=500k (200-500k)

nothing found, 1 remain

Results emailed - Base released

Reserving S401 to n=1M (400k-1M) for BOINC

R327 complete to 265k, extending reservation to 300k.

Reserving S304 to n=1M (800k-1M) for BOINC