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A188483 Numbers whose squares have an odd square abundance 0

%I #9 May 01 2013 20:56:06

%S 742,3878,7574,16058,2155174,17886218,312562708,599256826,5015867878,

%T 6305036122,7661332826

%N Numbers whose squares have an odd square abundance

%C Kravitz conjectured that no numbers exist whose abundance is a positive odd square. The squares of this sequence are counterexamples.

%C a(12) <= 37379475098. a(13) <= 56559884906. - _Donovan Johnson_, Apr 07 2011

%D Guy, R. K. Unsolved Problems in Number Theory, 3rd ed. New York: Springer-Verlag, 2004, page 74.

%H Eric Weisstein, <a href="http://mathworld.wolfram.com/KravitzConjecture.html">Kravitz Conjecture</a>

%Y Cf. A188486

%K nonn,hard,more

%O 1,1

%A _Ed Pegg Jr_, Apr 01 2011

%E More terms, page number in Guy, cross references.

%E a(9)-a(11) from _Donovan Johnson_, Apr 07 2011

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Last modified September 3 10:55 EDT 2024. Contains 375657 sequences. (Running on oeis4.)