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 A285304 P-positions in the sum-from-product game. 1
 1, 2, 3, 4, 5, 7, 11, 13, 16, 17, 19, 22, 23, 25, 27, 29, 31, 32, 34, 37, 41, 43, 46, 47, 49, 52, 53, 55, 57, 59, 61, 64, 67, 71, 73, 74, 79, 81, 82, 83, 85, 88, 89, 92, 94, 97, 101, 103, 106, 107, 109, 113, 115, 117, 119, 121, 125, 127, 131, 134, 136, 137, 139, 141, 142, 145, 149, 151, 157, 158, 163, 167, 169, 171, 173, 175, 178, 179, 181, 185, 187, 189, 190, 191, 193, 194, 196, 197, 199 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sum-from-product game is played by two players alternating moves. Given a positive integer n, a player can choose any two integers a and b, such that ab = n. The player subtracts a + b from n, given that the result is nonnegative. That is, the next player starts with a new number n - a - b. A player without a move loses. Prime numbers are P-positions. N-positions are A285847. LINKS Pratik Alladi, Neel Bhalla, Tanya Khovanova, Nathan Sheffield, Eddie Song, William Sun, Andrew The, Alan Wang, Naor Wiesel, Kevin Zhang Kevin Zhao, PRIMES STEP Plays Games, arXiv:1707.07201 [math.CO], 2017, Section 6. CROSSREFS Cf. A285847. Sequence in context: A139316 A062972 A231878 * A036844 A284696 A033070 Adjacent sequences:  A285301 A285302 A285303 * A285305 A285306 A285307 KEYWORD nonn AUTHOR Tanya Khovanova and students, May 06 2017 STATUS approved

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Last modified September 25 23:23 EDT 2020. Contains 337346 sequences. (Running on oeis4.)