No. That abstract says that the bound it 12 if the Elliot-Halberstam conjecture holds. Under that assumption, the bound has been 16 since 2000. The trick that b

No. That abstract says that the bound it 12 if the Elliot-Halberstam conjecture holds. Under that assumption, the bound has been 16 since 2000. The trick that brings the number down from 16 to 12 under that assumption is the same that brings the proven number down to 600. This is actually described in the linked wired article.