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 A227764 Losing positions in the misere version of the Subtract-a-Prime game. 1
 2, 3, 11, 12, 27, 36, 37, 51, 57, 87, 93, 102, 117, 123, 127, 135, 147, 157, 171, 177, 189, 197, 207, 219, 237, 249, 255, 261, 267, 291, 297, 303, 311, 312, 321, 327, 337, 345, 357, 363, 377, 387, 393, 397, 405, 417, 427, 447, 453, 471, 477, 483, 487, 495 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Consider the following game: two players make moves in turn; initially the number on the board is n. Each move consists of subtracting a prime number that is at most the number on the board. The player who cannot play wins. This sequence is the set of lost positions in this game. LINKS MATHEMATICA moves[n_] := Table[n - Prime[i], {i, 1, PrimePi[n]}]; gana[n_] := gana[n] = If[n < 2, True, ! Select[moves[n], !gana[#] &] == {}]; Select[Range[155], !gana[#] &] CROSSREFS Cf. A227691, A025043, A227763. Sequence in context: A172409 A062936 A136972 * A135115 A107402 A082618 Adjacent sequences:  A227761 A227762 A227763 * A227765 A227766 A227767 KEYWORD nonn AUTHOR José María Grau Ribas, Jul 29 2013 STATUS approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)