A352732 - OEIS

%I #45 Jul 23 2022 03:23:19

%S 71,13993643,19152352117,813955076015309926319,

%T 46959719470144429555105032871,491873569944394295636860313807677,

%U 1848593595048531176470116001230356265643249547,1000403244183535565720394723140528028235711874491322863,33027769942300819203735411144251223948236849608414254057770836237073

%N The right Aurifeuillian factor of p^p - 1, for primes p congruent to 1 (mod 4).

%C For prime factorizations of p^p - 1 see A125135.

%H Patrick A. Thomas, <a href="/A352732/b352732.txt">Table of n, a(n) for n = 1..60</a>

%H Calculators, <a href="http://myfactorcollection.mooo.com:8090/calculators.html">Aurifeuillian LMs</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Aurifeuillean_factorization">Aurifeuillean factorization</a>.

%e 813955076015309926319 is the larger Aurifeuillian factor of 29^29-1, and 29 is the 4th term of A002144, so a(4) = 813955076015309926319.

%Y Cf. A002144, A125135, A230378, A352711.

%K nonn

%O 1,1

%A _Patrick A. Thomas_, Mar 30 2022