The Nikkei stock index logged a record intraday point gain Tuesday morning as investors scooped up battered shares after the benchmark’s historic loss the previous day. The 225-issue Nikkei Stock Average climbed 2,957.90 points, or 9.40 percent, from Monday to 34,416.32. The broader Topix index was up 207.06 points, or 9.30 percent, at 2,434.21. Every industry category on the top-tier Prime Market gained ground, led by marine transportation, consumer credit and insurance shares. The U.S. dollar briefly rose to the lower 146 yen range in Tokyo, after better-than-expected U.S. service sector dat…