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10:55 AM
I get an error when trying B1=5e9 with GMP-ECM:

Assertion failed!
File: batch.c, Line 70
Expression: B1 <= 3124253146UL

It seems that B1 is limited to 31e8 for me.

Nevertheless I have running two threads to generate residues files:

ecm -timestamp -one -save "4^444+3_B1=31e8.res" -c 10 31e8 1 < "4^444+3.in" > "4^444+3=31e8.out"
ecm -timestamp -one -save "12^512+1_B1=2e9.res" -c 10 2e9 1 < "12^512+1.in" > "12^512+1_B1=2e9.out"
 
11:10 AM
@Peter See A045882.
$82462576220$ is the first
 
11:42 AM
@MartinHopf Hi, so my calculations yesterday and today were obsolete. I did not check the complete range anyway. But I did some useful doublechecks.
 
@Peter Yes you did useful doublechecks.
 
pfgw is quite unstable , I cannot reasonably run it if two more programs are running.
If you want, you can sieve the factors out of $\phi_{5207}(10^6+n)$ , $n=10^4$ should be a sufficient range to find a PRP.
 
@Peter OK, why not. Finding a 30k+ digit PRP ...
 
 
2 hours later…
1:53 PM
PRP 15802 (show) (1365^5207-1)*1364/(1365^127-1)/(1365^41-1)<15802> = 1170158408...61<15802>
 
 
2 hours later…
4:04 PM
PRP 30246 (show) 6299612069...01<30246> = 6299612069...01<30246>
(1002653^5207-1)*1002652/(1002653^127-1)/(1002653^41-1)
 

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