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A056697 a(n) is least N > 1 congruent to -1,0, or 1 mod i for all i=1,...,n. 4
2, 2, 2, 3, 4, 5, 29, 41, 55, 71, 791, 791, 1079, 1079, 1079, 30239, 246960, 246960, 636481, 636481, 1360800, 2162161, 2162161, 2162161, 39412801, 39412801, 107881201, 107881201, 3625549201, 3625549201, 3625549201, 170918748000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Don Reble, Table of n, a(n) for n = 1..156

Don Reble, Notes on the computation of A056697

FORMULA

Since n!-1 == -1 mod for all i = 1..n, a(n) <= n!-1 for n>2. - N. J. A. Sloane, Dec 30 2012

EXAMPLE

a(9) = 55 because 55 gives remainder -1 when divided by 2,4,7 and 8, gives remainder 0 when divided by (1 and) 5, and gives remainder 1 when divided by 3,6 and 9. All smaller integers greater than 1 give remainders other than -1, 0, or 1 for at least one of 5,6,7,8, or 9.

CROSSREFS

One version of an inverse function to A187824. For another version see A220890. See also A220891. - N. J. A. Sloane, Dec 30 2012

Sequence in context: A022869 A022865 A089150 * A176975 A132427 A333374

Adjacent sequences:  A056694 A056695 A056696 * A056698 A056699 A056700

KEYWORD

nonn

AUTHOR

Ted Alper, Aug 10 2000

EXTENSIONS

More terms from Don Reble, Dec 30, 2012

STATUS

approved

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Last modified June 17 05:53 EDT 2021. Contains 345080 sequences. (Running on oeis4.)