A221847 Number of primes of the form (x+1)^5 - x^5 having n digits.

0, 0, 1, 1, 1, 1, 2, 6, 7, 11, 10, 26, 44, 63, 112, 178, 286, 507, 819, 1424, 2385, 4044, 6826, 11591, 19692, 34150, 58171, 99410, 169547, 291195, 500353, 860230, 1482979, 2554281, 4406698

Offset: 0

Author

Vladimir Pletser, Jan 26 2013

Keywords

• nonn
• easy
• base

Comments

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).