A221846 - OEIS

%I #15 Jan 30 2013 01:57:10

%S 0,0,1,2,3,4,6,12,19,30,40,66,110,173,285,463,749,1256,2075,3499,5884,

%T 9928,16754,28345,48037,82187,140358,239768,409315,700510,1200863,

%U 2061093,3544072,6098353,10505051

%N Number of primes of the form (x+1)^5 - x^5 less than 10^n.

%C Number of primes less than 10^n and equal to the difference of two consecutive fifth powers (x+1)^5 - x^5 = 5x(x+1)(x^2+x+1)+1 (A121616). Values of x = A121617. Sequence of number of primes less than 10^n and of the form (x+1)^5 - x^5 have similar characteristics to similar sequences for natural primes (A006880) and cuban primes (A113478).

%K nonn

%O 0,4

%A _Vladimir Pletser_, Jan 26 2013