Help: A038537 and possible new seq

Edwin Clark eclark at math.usf.edu
Mon Jun 23 17:59:05 CEST 2003


On Mon, 23 Jun 2003, David Wilson wrote:

> 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.
> 
> 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.
> 
> ----------------------------------------------------------------------------------

I confirmed with Maple that the three new numbers are "wonderful" as
is 50006393431.  --Edwin

































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