
COMMENTS

Feb 06 2012: Charles R Greathouse IV found the next few terms. He reports that the sequence starts 2, 71, 8281828459045235360287471, 352...3059 (90 digits), 9218...939 (456 digits), 239...6753 (608 digits), 985...8631 (1421 digits), 382...0327 (1469 digits). Since these terms are too large to display here, M. F. Hasler points out that we could add a sequence giving the starting place (in the decimal expansion of e) where the next prime begins.
If we omit the condition that the terms increase in length, the sequence begins 2, 7. The third term is the 649digit number 18281...0429, found by Charles R Greathouse IV, Feb 06 2012.
