A354609 Carmichael numbers ending in 1.

561, 2821, 6601, 8911, 15841, 29341, 41041, 75361, 101101, 115921, 162401, 172081, 188461, 252601, 314821, 340561, 399001, 410041, 488881, 512461, 530881, 552721, 656601, 658801, 838201, 852841, 1024651, 1152271, 1193221, 1461241, 1615681, 1857241, 1909001, 2100901, 2113921, 2433601, 2455921, 2704801, 3057601

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Carmichael numbers

Mathematica

Select[10*Range[0, 3*10^5] + 1, CompositeQ[#] && Divisible[# - 1, CarmichaelLambda[#]] &] (* Amiram Eldar, Jul 08 2022 *)

Prog

(Python)
from itertools import islice
from sympy import nextprime, factorint
def A354609_gen(): # generator of terms
    p, q = 3, 5
    while True:
        for n in range(p+2+(-p-1)%10, q, 10):
            f = factorint(n)
            if max(f.values()) == 1 and not any((n-1) % (p-1) for p in f):
                yield n
        p, q = q, nextprime(q)
A354609_list = list(islice(A354609_gen(), 30)) # Chai Wah Wu, Jul 24 2022

Crossrefs

Intersection of A002997 and A017281.

Cf. A352970, A355305, A355307, A355309.

Sequence in context: A290692 A293622 A322130 * A207080 A339875 A290945

Adjacent sequences: A354606 A354607 A354608 * A354610 A354611 A354612

Keyword

nonn,base

Author

Omar E. Pol, Jul 08 2022

Status

approved