3710 decimal digits Carmichael number from 1989 Dubner paper table 1

3710.gp

\\ 3710 decimal digits Carmichael number from 1989 Dubner paper table 1:
\\ https://www.ams.org/journals/mcom/1989-53-187/S0025-5718-1989-0969484-8/S0025-5718-1989-0969484-8.pdf
\\
T=47#/2;A=41;C=141847;M=(T*C-1)^A/4;P=6*M+1;Q=12*M+1;X=123165;R=1+(P*Q-1)/X;
N=P*Q*R;
\\ known partial N-1 factorization:  https://www.mersenneforum.org/node/1106127
{F=[2,41;3,1;11,1;13,1;19,1;29,1;31,1;37,1;41,2;43,1;47,1;59,41;79,41;83,1;
1709,1;3527,1;3691,1;16943,1;469793,41;1799411527,1;3463701403,1;
731646295847,1;9957992526379,41;677868618879887,1;278798236535678281,1;
61534897980248555544581,1;9929897004627382451681972907710143,1];}
f=vecprod([f[1]^f[2]|f<-F~]);
print(((N-1)%f)" ",#digits(f)" ",#digits((N-1)/f));

From Mersenne forum thread linked to in gist, 1,080 decimal digits partial factorization F is known.
The remainder is product of 836 and 1,795 decimal digit composite numbers.

$ gp -q < 3710.gp 
0 1080 2630
$