

A285888


Numbers n such that (1 + n)^n + (n)^n is prime.


3




OFFSET

1,2


COMMENTS

The next term, if it exists, is > 10000.  Hugo Pfoertner, Jan 06 2020
The associated primes are: 13, 37, 881, 4651, 1273609, ...
From Robert Israel, Apr 28 2017: (Start)
All terms other than 0 are primes or powers of 2.
Heuristically, this sequence might be expected to be finite. (End)


LINKS

Table of n, a(n) for n=1..7.
J. S. Gerasimov, x^(y + 1)  y^x, SeqFan list, Aug 18 2014.


EXAMPLE

4 is in this sequence because (1 + 4)^4 + (4)^4 = 881 is prime.


MAPLE

N:= 1000: # to get all terms <= N
cands:= select(isprime, {seq(i, i=3..N, 2)}) union {0, seq(2^k, k=1..ilog2(N))}:
select(n > isprime((1+n)^n + (n)^n), cands); # Robert Israel, Apr 28 2017


PROG

(MAGMA) [n: n in [0..170] IsPrime((n+1)^n + (n)^n)];
(PARI) is(n)=ispseudoprime((n+1)^n+(n)^n) \\ Charles R Greathouse IV, Apr 28 2017


CROSSREFS

Supersequence of A098463.
Cf. A243100, A285886, A285887.
Sequence in context: A259389 A277217 A259384 * A028986 A327324 A063948
Adjacent sequences: A285885 A285886 A285887 * A285889 A285890 A285891


KEYWORD

nonn,more


AUTHOR

JuriStepan Gerasimov, Apr 27 2017


STATUS

approved



