_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Nov 21 2002
_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Nov 21 2002
Extended and edited by _D. S. McNeil (mcneil(AT)hku.hk), _, Nov 20 2010
reviewed
approved
proposed
reviewed
Conjecture: sequence Sequence is finiteinfinite. Consider squaring 2*10^k+1 and 2*10^k+2 for k >= 1: (441, 484), (40401, 40804), (4004001, 4008004), etc.
DSM: Sequence is infinite. Consider squaring 2*10^k+1 and 2*10^k+2 for k >= 1: (441, 484), (40401, 40804), (4004001, 4008004), etc.
base,more,nonn,base,new
1, 4, 49, 169, 225, 441, 576, 784, 1296, 2304, 5041, 7396, 8464, 9409, 12769, 17689, 18496, 21609, 23104, 26569, 30276, 32041, 34596, 36481, 40401, 45369, 53824, 55696, 62001, 69169, 71289, 77284, 116964, 121104, 123904, 148996
0,1,2
DSM: Sequence is infinite. Consider squaring 2*10^k+1 and 2*10^k+2 for k >= 1: (441, 484), (40401, 40804), (4004001, 4008004), etc.
Extended and edited by D. S. McNeil (mcneil(AT)hku.hk), Nov 20 2010
approved
proposed
Conjecture: Sequence sequence is finite.
base,more,nonn,new
Smaller of the two successive squares which differ in the use of only one digit.
1, 4, 49, 169, 225, 441, 576, 784, 1296, 2304, 5041, 7396, 8464, 9409
0,2
Conjecture: Sequence is finite.
1296 is a member as 1296 and 1369 differ in the use of only one digit i.e. 2 and 3.
base,more,nonn
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 21 2002
approved