Help: A038537 and possible new seq

[David Wilson]

Let p be a prime number. Just for this message (or thread) call p wonderful if,
for each of the eight bases 2 <= b <= 9, when p is written in base b and
the numeral interpreted in base 10, it is also prime. Call p good if it is prime
in only 7 of the eight smaller bases.

A038537 lists good primes, and notes that 50006393431 is a wonderful prime,
presumably the smallest such.

But at the bottom of this page, I find the note:

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Giovanni Resta wrote (5/5/03):

I would like to submit 3 new numbers (as requested!) that are solution of puzzle 24.
They are: 727533146383, 2250332130313, 2651541199513, and my search was
interrupted around n = 3,103,417,510,867.

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It is not clear to me from context whether these numbers are wonderful or
merely good. If they are wonderful, it is grounds for adding the following
new sequence:

[Neil: DON'T ADD THIS UNLESS CONFIRMED]

%I A000000
%S A000000 50006393431, 727533146383, 2250332130313, 2651541199513
%N A000000 Numerals in bases 2 through 10, interpreted as decimal, are all primes.
%H A000000 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_024.htm">PP and P Puzzle 24:
Primes in several bases</a>
%K A000000 base, nonn, nice
%C A000000 a(1) from Jack Brennen, a(2),a(3),a(4) from Giovanni Resta.
%C A000000 Checked up to n < 3103417510867.
%O A000000 1,1
%A A000000 Carlos B. Rivera F. (crivera(AT)primepuzzles.net)

Otherwise, if they are good, they should be appended or noted on A038537.

I don't have the power tools necessary for confirming these numbers.
Any seqfans willing to take up the challenge?