41

This number is a prime.

41 is the largest admissible number of consecutive primes with gaps below 10. For example, gaps of 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6, 4, 2. If computers continue to improve at the current rate then it may take more than a century before an occurrence is found. [Andersen]