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Numbers n such that there exists another number m with the property that all 9 pairs (n, m), (n, m+1), (n, m+2), (n+1, m), (n+1, m+1), (n+1, m+2), (n+2, m), (n+2, m+1), (n+2, m+2) are not relatively prime.
0

%I #2 Mar 31 2012 10:24:13

%S 104,164,230,284,494,594,644,650,664,740,804,824,854,944,968,986,1000,

%T 1034,1064,1104,1274,1308,1406,1434,1442,1448,1462,1494,1598,1614,

%U 1728,1748,1784,1884,1924,1988

%N Numbers n such that there exists another number m with the property that all 9 pairs (n, m), (n, m+1), (n, m+2), (n+1, m), (n+1, m+1), (n+1, m+2), (n+2, m), (n+2, m+1), (n+2, m+2) are not relatively prime.

%e a(21)=1274 means there exists another number (1308) which all 9 pairs numbers (1274,1308),(1275,1308),(1276,1308),(1274,1309),(1275,1309),(1277,1309),(1274,1310),(1275,1310),(1276,1310) are not relatively prime.

%K easy,nonn

%O 1,1

%A _Zhining Yang_, Nov 28 2009