A333185 - OEIS

A333185

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

2, 6, 9, 940

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

KEYWORD

nonn,bref,hard,more

AUTHOR

STATUS

approved