A221986 Number of primes of the form (x+1)^11 - x^11 with x <= 10^n.

0, 3, 9, 46, 479, 3711, 30830

Offset

0,2

Comments

Number of primes equal to the difference of two consecutive eleventh powers (x+1)^11 - x^11 = 11x(x+1)(x^2+x+1)(x(x+1)(x^2+x+1)(x^2+x+3)+1) +1 (A189055). Values of x = A211184. Sequence of number of primes of the form (x+1)^7 - x^7 with x <= 10^n have similar characteristics to similar sequences for natural primes, cuban primes (A221794) and primes of the form (x+1)^p - x^p for p = 5 (A221849) and p = 7 (A221980).

Links

Table of n, a(n) for n=0..6.

Crossrefs

Sequence in context: A190625 A317079 A190627 * A018445 A129432 A111551

Adjacent sequences: A221983 A221984 A221985 * A221987 A221988 A221989

Keyword

nonn,base

Author

Vladimir Pletser, Feb 02 2013

Status

approved