perplexus.info :: Just Math : Cubic and Factorial Puzzle

Cubic and Factorial Puzzle (Posted on 2015-06-23)

Find all triplets (X,Y,Z) of positive integers such that:
X³+ Y³+ Z³ = X! + Y! + Z! +11

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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computer solution

Comment 1 of 1

(1, 2, 5) and its permutations

from

DefDbl A-Z

Dim crlf$

Private Sub Form_Load()

Form1.Visible = True

Text1.Text = ""

crlf = Chr$(13) + Chr$(10)

mn = 9999999999#

For tot = 3 To 150

For a = 1 To tot / 3

a3 = a * a * a

af = fact(a)

For b = a To (tot - a) / 2

b3 = b * b * b

bf = fact(b)

c = tot - a - b

c3 = c * c * c

cf = fact(c)

diff = (a3 + b3 + c3) - (af + bf + cf)

If Abs(diff) = 11 Then

Text1.Text = Text1.Text & diff & " " & a & Str(b) & Str(c) & crlf

End If

Text1.Text = Text1.Text & crlf & " done"

End Sub

Function fact(x)

f = 1

For i = 2 To x

f = f * i

fact = f

End Function

Posted by Charlie on 2015-06-23 11:39:47

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