A357099 Second nontrivial square root of unity mod A033949(n), i.e., second smallest x > 1 such that x^2 == 1 mod the n-th positive integer that does not have a primitive root.

5, 7, 11, 9, 11, 13, 7, 15, 19, 17, 23, 29, 19, 25, 11, 29, 23, 26, 17, 35, 27, 34, 15, 37, 19, 55, 33, 51, 43, 35, 47, 41, 19, 49, 39, 43, 53, 31, 29, 69, 59, 23, 71, 64, 47, 61, 56, 31, 89, 51, 67, 27, 34, 55, 89, 73, 41, 77, 91, 59, 64, 69, 19, 83, 63, 71

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..20000

Prog

(Python)
from itertools import count, chain, islice
from sympy.ntheory import sqrt_mod_iter
def A357099_gen(): # generator of terms
    return chain.from_iterable((sorted(filter(lambda m:1<m<n-1, sqrt_mod_iter(1, n)))[1:2] for n in count(2)))
A357099_list = list(islice(A357099_gen(), 30)) # Chai Wah Wu, Oct 26 2022

Crossrefs

Column k=2 of A277776.

Cf. A033949, A082568.

Sequence in context: A023590 A096919 A023594 * A277777 A254930 A317769

Adjacent sequences: A357096 A357097 A357098 * A357100 A357101 A357102

Keyword

nonn

Author

Alois P. Heinz, Oct 25 2022

Status

approved