A085399 Let Cn(x) be the n-th cyclotomic polynomial; a(n) is the first prime Cn(x) after Cn(1).
2, 3, 7, 5, 31, 3, 127, 17, 73, 11, 12207031, 13, 8191, 43, 151, 257, 131071, 46441, 524287, 61681, 368089, 683, 11111111111111111111111, 241, 705429635566498619547944801, 2731, 262657, 15790321, 7369130657357778596659, 331, 2147483647, 65537, 599479, 43691
Offset: 1
Keywords
Examples
a(11)=12207031 because C11(x) is composite for x=2,3,4 and C11(5)=12207031 is prime.
Links
- Jinyuan Wang, Table of n, a(n) for n = 1..396
Formula
a(n) = Phi(n,A085398(n)) where Phi(n,k) is the n-th cyclotomic polynomial evaluated at k. - Jinyuan Wang, Sep 04 2022
Extensions
More terms from Jinyuan Wang, Sep 04 2022