Primes of form n^p+1
Pfoertner, Hugo
Hugo.Pfoertner at muc.mtu.de
Wed May 26 16:05:01 CEST 2004
SeqFans,
http://mathworld.wolfram.com/Power.html
<http://mathworld.wolfram.com/Power.html> says:
Very few numbers of the form n^p+-1 are prime.
... [snip primes of form n^p-1] ...
The only prime numbers of the form n^p+1 for n<=100 and prime 2<=p<=10
correspond to p=2 with n = 1, 2, 4, 6, 10, 14, 16, 20, 24, 26, ...
http://www.research.att.com/projects/OEIS?Anum=A005574
<http://www.research.att.com/projects/OEIS?Anum=A005574>
I extended the search to even n<=10000 and prime p<=2099 using PFGW and
didn't find any further primes of this form. Are there _any_ known other
examples?
Thanks
Hugo
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