I was going through these presentation slides (PDF) on Crypto 2013.
It summarizes the paper, Factoring RSA keys from certified smart cards: Coppersmith in the wild.
In the last slide, it was mentioned that one possible future work to be done is to use the “Adi Shamir's secret database of all primes” to attempt breaking RSA-1024. I tried to Google for “Adi Shamir's secret database of all primes”, but I can't find anything. Does anyone have any idea about this "database"?