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 A361247 a(n) is the smallest integer k > 2 that satisfies k mod j <= 2 for all integers j in 1..n. 3
 3, 3, 3, 4, 5, 6, 30, 42, 56, 72, 792, 792, 1080, 1080, 1080, 30240, 246961, 246961, 636482, 636482, 1360801, 2162162, 2162162, 2162162, 39412802, 39412802, 107881202, 107881202, 3625549202, 3625549202, 3625549202, 170918748001, 170918748001, 170918748001, 170918748001, 170918748001 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Chai Wah Wu, Table of n, a(n) for n = 1..40 EXAMPLE a(7)=30 since 30 mod 7 = 2, 30 mod 6 = 0, 30 mod 5 = 0, 30 mod 4 = 2, 30 mod 3 = 0, 30 mod 2 = 0 and 30 is the smallest integer greater than 2 where all of these remainders are 2 or less. PROG (Python) final=100 k=3 for n in range(1, final+1): j = n+1 while (j > 2): j -= 1 if k%j>2: k += j-(k%j) j = n+1 print(k) (PARI) isok(k, n) = for (j=1, n, if ((k % j) > 2, return(0))); return(1); a(n) = my(k=3); while(!isok(k, n), k++); k; \\ Michel Marcus, Mar 17 2023 CROSSREFS Cf. A003418 (all remainders 0). Cf. also A361246, A361248. Equals {A056697}+1. - Hugo Pfoertner, May 11 2023 Sequence in context: A090903 A022878 A022877 * A151554 A221028 A334940 Adjacent sequences: A361244 A361245 A361246 * A361248 A361249 A361250 KEYWORD nonn AUTHOR Andrew Cogliano, Mar 05 2023 EXTENSIONS a(32)-a(36) from Chai Wah Wu, Apr 24 2023 STATUS approved

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Last modified June 19 09:33 EDT 2024. Contains 373501 sequences. (Running on oeis4.)