Hysterical Sequence

[Antreas P. Hatzipolakis]

On Sun, 07 May 2000, Adam Stephanides wrote (in sci.math NG):

>I saw an off-off-Broadway play last night with the above title.  It
>wasn't that great a play, but what was unusual about it was that it was
>about math, and the math was accurate (as far as I could tell), although
>the history of math wasn't always.
>
>The "hysterical girls" of the title are a type of primes, the first four
>of which are 3343, 33343, 333433 and 334333.  (You will observe that not
>all primes containing only the digits 3 and 4 are included.)  A fifth is
>333333433343.  According to the play's protagonist, there is some
 ^^^^^^^^^^^^

Is this a prime in fact ?

>connection between these primes and the Riemann Zeta Hypothesis.  Does
>anyone recognize these primes, under the name in the play or another?
>If so, what is their definition (which was unstated in the play)?  I
>tried the On-Line Encyclopedia of Integer Sequences, and came up empty.


Empty?

------------------------------------------
ID Number: A020461
Sequence:  3,43,433,443,3343,3433,33343,333433,334333,343333,343433,
           444343,444443,3333433,3343343,3343433,3344333,3344443,
           3433333,3434443,3443443,3444443,4344443,4433333,4434343,
           4443433,34333333,34434343,34444343,43444433
Name:      Primes that contain digits 3 and 4 only.
------------------------------------------

How about to add a comment, Neil?

Something like this:

  Some of these primes are mentioned in the play "The Five Hysterical Girls
  Theorem" by by Rinne Groff at the Connelly Theater in the East Village
  (May.2000). Review: New York Times, April 27, 2000.

Antreas