I know it's a bit feeble the usual standards for ECM factorization, but
I just found this 36-digit factor of 2^2203+1 :

848425589476255002200418022118728331

Thus 2^2203+1 = 3 * 13219 * 208613913329 * 743372438374143806443 * 
282324958084937237369 * 848425589476255002200418022118728331 * C571

I apologise if this is not new or not interesting.

I am still trying to find numbers n > 1000 where gcd(n, 30) = 1 and 2^n-
1 and 2^n+1 are completely factorized. Like 2203 would be once the C571
part has been factorized (2^2203-1 is prime). The only ones I know are
1121 and 1141. Anyone know of any more? 

-- 
Tony
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