The short position {18,24,34} is P.
2008-01-20
The short position {12,32,62} is P.
2008-01-20
The short position {12,32,58} is P.
2008-01-20
The short position {12,32,54} is P.
2002-05-29
The short position {12,28,58} is P. The lowest possible winning move in {12} with g=2 is 62.
2002-04-29
The long position {20,22,24,26,28,36} is P. At 797637 it enters a period of 230976. Maybe long P-positions with g=2 are more common than I thought.
2001-11-07
The long position {16,22,24,26,28,30,34} is P. See this page for details. It is rare for long positions to be P.
2001-07-12
The position {12,40,46} is P. Since {12,40,50} is already known to be P, the lowest possible winning move in {12} with g=2 is 58.
2001-05-04
The position {18,30,32} is indeed P. For details see the list of responses.
2001-02-28
I have reorganized the Enders Page.
2001-02-06
The position {18,30,32} is probably P. I do not think I shall find a winning move in {18}.
2001-01-13
I had hoped to prove that {18,22} is P, but 79 wins. Meanwhile I have found that 10 is the only winning move in {16,24}.
2000-12-22
The 6-position {6,50,94} has no odd winning move less than 10 to the 8th power. I may abandon this line of inquiry.
2000-12-18
I just added a new 6-position, and it's a whopper: {6,44,82} [4,5993171].
2000-12-18
I have added a table of winning odd moves in even 6-positions.
2000-12-06
I have added some new material to the Enders Page.
2000-11-12
I have started writing a page on enders.
2000-08-25
The position {16,26,88} is probably P. I had hoped that {16,26} would be P, because all other derived short positions are N.
2000-08-23
I have posted a statement of the Progression Hypothesis, which characterizes the ender-status of positions whose moves are in arithmetic progression.
2000-08-03
The position {14,26} is P. For details see the list of responses.
2000-07-29
The position {14,26} is Probably P. Of course, even when such a big fish is hooked, it takes a lot of work to land it! This would give a complete first-order solution of {14}: [7, 8, 10, 26].
2000-07-19
The position {12,40,46} is P. This means that the least possible winning move in {12} with g=2 is 50. Lower moves of the form 4n+2 are answered: {10,12} [7,18]; {12,14} [16]; {12,18} [10,15,16,21]; {12,22} [16,30]; {12,26} [28]; {12,30} [22,...]; {12,34} [20,...]; {12,38} [20,...]; {12,42} [20,...]; {12,46} [40,...].
In fact, any given move in {12} with g=2 is likely to lose because it has many replies that produce short positions. If there exists a winning move with g=2, it is almost certainly too high to compute.