perplexus.info :: Just Math : Power and Divisibility Puzzle

Power and Divisibility Puzzle (Posted on 2015-08-12)

Determine the total number of positive integer values of N < 20150 such that:
2^N - N² is divisible by 17

See The Solution Submitted by K Sengupta

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computer solution

| Comment 1 of 6

DefDbl A-Z

Dim crlf$

Private Sub Form_Load()

Form1.Visible = True

Text1.Text = ""

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

pwr2 = 1

For n = 1 To 20149

pwr2 = (pwr2 * 2) Mod 17

tst = pwr2 - n * n

If tst Mod 17 = 0 Then

ct = ct + 1

End If

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

End Sub

finds

2371

Posted by Charlie on 2015-08-12 15:50:13

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