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A131662 Numbers n where either n or n+1 is divisible by the numbers from 1 to 12. +0
1
2519, 11879, 13320, 14399, 15840, 25200, 27719, 27720, 30239, 39599, 41040, 42119, 43560, 52920, 55439, 55440, 57959, 67319, 68760, 69839, 71280, 80640, 83159, 83160, 85679, 95039, 96480, 97559, 99000, 108360, 110879, 110880, 113399, 122759 (list; graph; listen)
OFFSET

0,1

EXAMPLE

2519 = 11*229 and 2520 = 2^3*3^2*5*7; that is, 2520 is divisible by all number from 1 to 12 except 11, while 2519 is divisible by 11.

MATHEMATICA

Select[Range[150000], Mod[ #, 8]*Mod[ # + 1, 8] == 0 && Mod[ #, 9]*Mod[ # + 1, 9] == 0 && Mod[ #, 5]*Mod[ # + 1, 5] == 0 && Mod[ #, 7]*Mod[ # + 1, 7] == 0 && Mod[ #, 8]*Mod[ # + 1, 8] == 0 && Mod[ #, 12]*Mod[ # + 1, 12] == 0 && Mod[ #, 10]*Mod[ # + 1, 10] == 0 && Mod[ #, 11]*Mod[ # + 1, 11] == 0 &]

CROSSREFS

Adjacent sequences: A131659 A131660 A131661 this_sequence A131663 A131664 A131665

Sequence in context: A031638 A031548 A045216 this_sequence A069476 A068352 A068547

KEYWORD

nonn

AUTHOR

Tanya Khovanova (tanyakh(AT)yahoo.com), Sep 13 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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