Wow, two 44 digit primes. A job for SIQS I think.

PRP 19329 (show) I(46245)^2+I(46245)+1<19329> = 3697232110...71<19329>

Your guess was closer.

I thought I were too optimistic, but ... In fact, a huge brillant number divides $f(250)$

siqs is fast for such numbers even with my old yafu-version

Since factordb sometimes loses factorizations (no idea why, perhaps something happens during the maintainance) , it is perhaps a good idea to store the current state.

I wonder why there are so many issues , if this program does everything automatically. Seems not really a professional work. Sometimes it has problems with specific formulas, sometimes there are errors with the status and a suggestion to include other useful operations was declined.

@MartinHopf First hole : C 288 120 I(288)^2+I(288)+1<120> = 4763331200...93<120>

FF 120 (show) I(288)^2+I(288)+1<120> = 78322492820192161<17> · 6081689983...13<103>

I currently search factors of those numbers ...

How many primes (PRP's) do we currently have here ?

All tested below $n=94 \ 869$

and no further PRPs.

So, you soon finish the 100k-mark