Another of the problems is "RSA Challenge":The owner of this website grants "US$1000 and a bottle of champagne" as prize for 20 of the listed 24 problems:
https://unsolvedproblems.org/index_files/Prizes.htm
https://unsolvedproblems.org/index_files/RSA.htm
While the original RSA challenge ended in 2007, you will get 1000$ and a bottle of champagne if you factor RSA-1024:
https://en.wikipedia.org/wiki/RSA_numbers#RSA-1024
That number has 309 decimal digits — largest factored sofar RSA number is RSA-250 ...
(factored in 2020 with 2700 CPU core-years using CADO-NFS)
https://en.wikipedia.org/wiki/RSA_numbers#RSA-250
Code:
pi@raspberrypi5:~/RSA_numbers_factored/pari $ gp -q RSA_numbers_factored.gp ? [l,n]=RSA.get(1024);? l1024? #binary(n)1024? #digits(n)309? n%43? Statistics: Posted by HermannSW — Sun Jan 28, 2024 10:05 pm