Help Needed

[Artur]

About Schinzel conjuncture you can read
http://matwbn.icm.edu.pl/ksiazki/mon/mon42/mon4203.pdf
and go to the page 10 from 23 (page 128 in Sierpinski book)
on the mid of left page is these
Sequences connected in ONEIS are: A125856, A125855, A057015, A125779,  
A125780.

ARTUR


Dnia 30-12-2006 o 12:32:51 Artur <grafix at csl.pl> napisał(a):

> Dear Seqfans,
> I'm looking person which can help to find the first number x such
> (x^16+1)&(x^16+3)&(x^16+7)&(x^16+9) are all primes
> I was tested that no such x smallest as 30000001 and now I was execute  
> procedure to 40000001
>
> I'm looking for person which can try find these number in range  
> 40000001, 50000000
>
> e.g. by Mathematica procedure
>
> Do[If[(PrimeQ[x^16 + 1]) && (PrimeQ[x^16 + 3]) && (PrimeQ[x^16 + 7]) &&
> (PrimeQ[x^16 + 9]), Print[x]], {x, 40000001, 50000000}]
>
> These number existed because Schinzel in 1959 prooved that set of this  
> numbers is infinite
>
> BEST WISHES
> ARTUR
>
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