## How 54199 is related to 71272

$54199^3 \; = \; 159211275242599$   ……….   $15921 + 12752 + 42599 \; = \; 71272$
$71272^3 \; = \; 362040234715648$   ……….   $36204 + 02347 + 15648 \; = \; 54199$

Pipo found:

$68292^3 \; = \; 318500042753088$   ……….   $31850 + 00427 + 53088 \; = \; 85365$
$85365^3 \; = \; 622070396002125$   ……….   $62207 + 03960 + 02125 \; = \; 68292$

Paul found :

$561925^3 = 177433272583328125$   ……….   $177433 + 272583 + 328125 = 778141$
$778141^3 = 471167033537057221$   ……….   $471167 + 033537 + 057221 = 561925$

$573210^3 = 188339440087161000$   ……….   $188339 + 440087 + 161000 = 789426$
$789426^3 = 491965080469000776$   ……….   $491965 + 080469 + 000776 = 573210$

$778141^3 = 471167033537057221$   ……….   $471167 + 033537 + 057221 = 561925$
$561925^3 = 177433272583328125$   ……….   $177433 + 272583 + 328125 = 778141$

$789426^3 = 491965080469000776$   ……….   $491965 + 080469 + 000776 = 573210$
$573210^3 = 188339440087161000$   ……….   $188339 + 440087 + 161000 = 789426$

math grad - Interest: Number theory
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### 4 Responses to How 54199 is related to 71272

1. pipo says:

There is one more:
68292^3 =318500042753088 and 31850+00427+53088 = 85365
85365^3 = 622070396002125 and 62207+03960+02125 = 68292

pipo

2. paul says:

Here are some 6 digit ones.

561925^3 = 177433272583328125 …177433 + 272583 + 328125 + = 778141
778141^3 = 471167033537057221 …471167 + 033537 + 057221 + = 561925

573210^3 = 188339440087161000 …188339 + 440087 + 161000 + = 789426
789426^3 = 491965080469000776 …491965 + 080469 + 000776 + = 573210

778141^3 = 471167033537057221 …471167 + 033537 + 057221 + = 561925
561925^3 = 177433272583328125 …177433 + 272583 + 328125 + = 778141

789426^3 = 491965080469000776 …491965 + 080469 + 000776 + = 573210
573210^3 = 188339440087161000 …188339 + 440087 + 161000 + = 789426

Paul.