No retest is needed. The numbers were found quickly due to not having to
"backtrack".

The code computes 2^(2^1832495), 3^(2^1832496), 5^n 7^n, 11^n.

It then tries to find factors. NOTE it may have to backtrack. It did in all
xGF cases, until it got to the xGF(11,???). All of them were to the 1832495
value, thus a simple GFN addition was all that was needed to determine the exact
factor. That is quick. All exponentations were done prior, and were used.

Note, that GF-3 and GF-11 imply xGF(11,3). Look at the factors found. I think
all of the xGF were trivial. Even the xGF(9,5) is trivial due to factors GF-3
and GF-5

Jim.

---- j_m_berg <j_m_berg@...> wrote:
> I ran into something that seems rather odd and most likely erroneous.
> As you can see from the command line, I was testing for GF and xGF
> cases on a rather large Proth prime. It appeared to work properly
> until near the end. Then it finished in a matter of a second or two.
>
>
> Factor of GF(1832495,11)!!!! (1232842.226000 seconds)
> This line was generated in less than one second of wall clock time.
>
>
> The five following lines were reported as taking 0.016 - 0.0 seconds.
>
>
> Any ideas on what happened?
>
>
> My guess is that these GF/xGF tests need to be retested. But it
> brings to question as to whether any of the earlier tests are
> accurate.
>
>
>
>
>
>
> C:\Numbers\Proth>start /b /wait /low pfgw -gxo -a2 "-q3*2^1832496+1"
> PFGW Version 1.2.0 for Windows [FFT v23.8]
>
> 3*2^1832496+1 is a Factor of GF(1832490,3)!!!! (45688.339000 seconds)
> 3*2^1832496+1 is a Factor of GF(1832494,5)!!!! (45562.769000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832494,5,3)!!!! (91282.260000
> seconds)
> 3*2^1832496+1 is a Factor of GF(1832494,7)!!!! (45663.183000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832494,7,3)!!!! (91174.010000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832490,7,5)!!!! (91302.650000
> seconds)
> 3*2^1832496+1 is a Factor of GF(1832494,8)!!!! (45617.694000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832494,8,3)!!!! (91370.248000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832493,8,5)!!!! (91574.809000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832493,8,7)!!!! (91508.339000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832494,9,5)!!!! (91444.837000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832494,9,7)!!!! (91333.664000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832494,9,8)!!!! (91353.475000
> seconds)
> 3*2^1832496+1 is a Factor of GF(1832495,11)!!!! (1232842.226000
> seconds)
> 3*2^1832496+1 is a Factor of xGF(1832495,11,3)!!!! (0.016000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832495,11,5)!!!! (0.000000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832495,11,7)!!!! (0.015000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832495,11,8)!!!! (0.000000 seconds)
> 3*2^1832496+1 is a Factor of xGF(1832495,11,9)!!!! (0.000000 seconds)
>
> C:\Numbers\Proth>
>
>
>
> The OpenPFGW project: http://www.primeform.net/openpfgw
> Yahoo! Groups Links
>
>
>