Gardner's Conjecture on Divisibility of Sum of Even Amicable Pairs/Historical Note
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Historical Note on Gardner's Conjecture on Divisibility of Sum of Even Amicable Pairs
Martin Gardner made this conjecture in $1968$ after noticing that all amicable pairs of even integers that were known at that time had this property.
The counterexample given was provided by Elvin J. Lee, having originally been discovered by Paul Poulet.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $220$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $220$