A333522 Lexicographically earliest sequence of distinct positive integers such that for any nonempty set of k positive integers, say {m_1, ..., m_k}, a(m_1) XOR ... XOR a(m_k) is neither null nor prime (where XOR denotes the bitwise XOR operator).
1, 8, 48, 68, 1158, 4752, 81926, 1059600, 713949458, 299601649920
Offset: 1
Examples
For n = 1: - we can choose a(1) = 1. For n = 2: - 2 is prime, - 3 is prime, - 4 XOR 1 = 5 is prime, - 5 is prime, - 6 XOR 1 = 7 is prime, - 7 is prime, - neither 8 nor 8 XOR 1 = 9 is prime, - so a(2) = 8.
Links
- Rémy Sigrist, PARI program for A333522
Programs
-
PARI
See Links section.
Formula
a(n) = A333403(2^(n-1)).
Extensions
a(10) from Giovanni Resta, Mar 30 2020
Comments