A057794 - cp's OEIS frontend

A057794 (Integer nearest R(10^n)) - pi(10^n), where pi(x) is the number of primes <= x, R(x) = Sum_{ k>=1 } (mu(k)/k * li(x^(1/k))) and li(x) is the Cauchy principal value of the integral from 0 to x of dt/log(t).

n	a(n)
1	1
2	1
3	0
4	-2
5	-5
6	29
7	88
8	97
9	-79
10	-1828
11	-2318
12	-1476
13	-5773
14	-19200
15	73218
16	327052
17	-598255
18	-3501366
19	23884333
20	-4891825
21	-86432204
22	-127132665
23	1033299853
24	-1658989719
25	-1834784714
26	-17149335456
27	-17535487934
28	-174760519827

[1, 1, 0, -2, -5, 29, 88, 97, -79, -1828, -2318, -1476, -5773, -19200, 73218, 327052, -598255, -3501366, 23884333, -4891825, -86432204, -127132665, 1033299853, -1658989719, -1834784714, -17149335456, -17535487934, -174760519827]

cp's OEIS Frontend

A057794 (Integer nearest R(10^n)) - pi(10^n), where pi(x) is the number of primes <= x, R(x) = Sum_{ k>=1 } (mu(k)/k * li(x^(1/k))) and li(x) is the Cauchy principal value of the integral from 0 to x of dt/log(t).

Table of values

List of values