[seqfan] Re: n = 562576374032409

Zak Seidov zakseidov at mail.ru
Fri May 27 15:41:53 CEST 2016


 Great!
You may submit it to OEIS.
Zak


>Пятница, 27 мая 2016, 15:47 +03:00 от Giovanni Resta <g.resta at iit.cnr.it>:
>
>On 05/26/2016 07:13 PM, Zak Seidov via SeqFan wrote:
>>   Integer n = 562576374032409 is unique in the sense that
>> n and n+1 are sums of two cubes and also n is the taxi-cab number
>
>> Is n the least such number?
>
>There are 5 smaller such numbers:
>
>18426689288 = 2514^3 + 1364^3 = 2498^3 + 1416^3,
>18426689289 = 2641^3 + 182^3,
>
>20689194392 = 2492^3 + 1734^3 = 2726^3 + 756^3,
>20689194393 = 2282^3 + 2065^3,
>
>166940780112 = 4683^3 + 4005^3 = 5034^3 + 3402^3,
>166940780113 = 4764^3 + 3889^3,
>
>3956149616328 = 14562^3 + 9540^3 = 14756^3 + 9058^3,
>3956149616329 = 15796^3 + 2457^3,
>
>53611112714103 = 31023^3 + 28746^3 = 35262^3 + 21375^3,
>53611112714104 = 37009^3 + 14295^3.
>
>And no other such numbers below 1.7*10^15.
>
>Giovanni Resta
>
>
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