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Number of primes of the form (x+1)^5 - x^5 having n digits.
2

%I #18 Jan 30 2013 01:58:28

%S 0,0,1,1,1,1,2,6,7,11,10,26,44,63,112,178,286,507,819,1424,2385,4044,

%T 6826,11591,19692,34150,58171,99410,169547,291195,500353,860230,

%U 1482979,2554281,4406698

%N Number of primes of the form (x+1)^5 - x^5 having n digits.

%C Number of primes having n digits 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 having n digits and of the form (x+1)^5 - x^5 have similar characteristics to similar sequences for natural primes (A006879) and cuban primes (A221792).

%K nonn,easy,base

%O 0,7

%A _Vladimir Pletser_, Jan 26 2013