Carmichael {Zseq}

Carmichael numbers

Description

Under OEIS A002997, a Carmichael number is a composite number n such that

b^{n-1} = 1 (mod n)

for all integers b which are relatively prime to n. First 6 Carmichael numbers are 561, 1105, 1729, 2465, 2821, 6601.

Usage

Carmichael(n, gmp = TRUE)

Arguments

n

the number of first n entries from the sequence.

gmp

a logical; TRUE to use large number representation, FALSE otherwise.

Value

a vector of length n containing first entries from the sequence.

Examples

## generate first 3 Carmichael numbers
print(Carmichael(3))