I  would like to address not only your totally irrelevant text, but also the principle of applying the same criteria toward work of others  as you do toward the problems you submit (create, modify or copy ��" does not matter).

Below are my remarks ��" since I do not have enough time to write a short letter ��" it will probably be a long one (an old cliché ��" but very appropriate!).

I hope that it will put an end to bickering remarks on your part and will direct your gifted efforts to productive reasoning.

Now to the essence ��" the bolded text is yours. 

The smallest is 104869.

True. That is the only relevant conclusion. The rest is voluntary ��" might be added as  a bonus, an extra data, provided that such data is not prefixed by phony and totally untrue claims.

IMHO ��"a  sideline remark- neither computer nor significant amount of time were needed to address this d2 puzzle. Look for yourself:  014689 is a string of  all qualifying digits ��" to get the smallest number - one starts with 10…. And the 1^st candidate to be checked  would be 10 followed by the digits in ascending order i.e.

 104689 ,then 104698, and theN 3rd - being the 1st prime in the permutations list 104869    - bingo-  end  of the process.

 ***The above two lines  were edited following Charlie's later remark.

I  did not remember,while writing my long letter, that the correct result was obtained on the 3rd trial.***

 Listed below are the first 100 meeting the criterion in the text of the puzzle.

No, Sir.   They are not meeting such criterion!   None of them, except the first is the smallest, as specified in the puzzle.

Those also satisfying the title of the puzzle are marked with an asterisk.

 You should distinguish   between  the title (general, sometimes aloof, description) and the body of the post (like in a textbook ��" full  summary of data, enabling the solver to reach the desired output (and sometimes discover a set of unanticipated solutions).

If you  apply your criteria (who invented them? Who supports them?) fairly to, say,  "Beginning of the month" puzzle, posted by yourself, Charlie circa 3 month ago,  your "ideal solution" would

 sound like:    <begin>: it was Tuesday   January the 1^st. <end>.

Listed  below are the first 100 meeting the criterion in the text of the puzzle .

(Your wording ��" "to the selfsame same tune and words " as Bard defined "verbatim").

"January the 1^st, February the 1^st,

March the 1^st…"

 Do I need   to continue?

If there were explicit laws forcing the title to contain everything about the puzzle ��"  then

the   title  of my post would be: 

 "The smallest  prime  containing each of the non-prime digits."-

and the body of the puzzle would be reduced to 2 words :  Find it.

  Sounds OK?, eh…

    1043869 is the first one that doesn't fit the title as well, as it includes a digit 3.

 The unsolicited appearance of digit 3 (why only 3,- and not 5 and/or 7 ?) is only due to a bug in the program, that did not exclude all prime digits from the "qualifying digits" set.

Why mention in your answer the problematic entries caused by a not-fully-debugged software? I wonder...

Here I rest my case.

 I expect your comments to be modelled on mine.
When my  errors are pointed out to me I  usually admit  loud and clear, like " You are right", "My bad" etc.

Waiting to see what will be the spirit
of your response, if any.

If similar unnecessary   nitpicking happens in the future (hope it does not) I will refer to this letter.

Edited on April 26, 2017, 3:25 pm

Posted by Ady TZIDON on 2017-04-26 02:33:55