A333185 Numbers k such that k^k is the average of its nearest 2 primes.

2, 6, 9, 940

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Formula

A333184(a(n)) = 0.

A074966(a(n)) = A074967(a(n)).

Example

          Previous P         k^k           Next P
  a(n)  A098681(a(n))  A000312(a(n))  A098682(a(n))
    2               3              4              5
    6           46649          46656          46663
    9       387420479      387420489      387420499
  940    940^940-3063        940^940   940^940+3063

Prog

(PARI) isok(k) = if (k>1, my(x=k^k); precprime(x-1)+nextprime(x+1) == 2*x); \\ Michel Marcus, Mar 14 2020

Crossrefs

Cf. A000312, A074966, A074967, A098681, A098682, A161503, A333184.

Sequence in context: A342317 A117541 A244060 * A236106 A095105 A220338

Adjacent sequences: A333182 A333183 A333184 * A333186 A333187 A333188

Keyword

nonn,bref,hard,more

Author

Hugo Pfoertner, Mar 11 2020

Status

approved