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 Smallest pandifibo number (Posted on 2017-04-29)
What is the smallest zeroless pandigital number in Fibonacci series?

Bonus: find the next smallest zeroless "pandifibo" number.

 No Solution Yet Submitted by Ady TZIDON No Rating

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 UBASIC solution Comment 1 of 1
n         F(n)
125   59425114757512643212875125
184   127127879743834334146972278486287885163

from

4   kill "pandfibo.txt":open "pandfibo.txt" for output as #2
5   A=1:B=1:Lvl=2
10   while C<9999999999999999999999999999999999999999
20     C=A+B:A=B:B=C:inc Lvl
30     S\$=str(C)
50     Good=1
60     for I=1 to 9
70        if instr(S\$,cutspc(str(I)))=0 then Good=0:cancel for:goto 90
80     next
90     if Good then
91       :if instr(S\$,"0")=0 then print C:Ct=Ct+1:print #2,Lvl,C
100   wend
110   print Ct:close #2

The 3-digit numbers preceding the F numbers are the ordinal position of these Fibonacci numbers, in the system where F(1)=F(2)=1.

No further results come from even over 200 9's in line 10. The probability of avoiding any zeros is probably too low with increased numbers of digits. In fact even if C is allowed to go up to 10^999, no further examples are found. There could be a hypothesis that there are no further examples beyond these two (proof anyone), or a probability that no further examples exist, based on an infinite series of probabilities for the infinite series of Fibonacci's that increase in length at a regular rate.

 Posted by Charlie on 2017-04-29 13:57:59

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