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A065703 Values of m such that N = (m+1)(2m+1)(71m+1) is a 3-Carmichael number (A087788).

%I A065703 #15 Oct 17 2019 16:40:34
%S A065703 1170,5430,53568,59106,63366,86370,95316,99576,103836,105966,116190,
%T A065703 183498,184776,239730,260178,300648,319818,333450,339840,362418,
%U A065703 367530,481698,485958,503850,511518,605238,644856,725370,732186,762006,788418,799920,837408,870210
%N A065703 Values of m such that N = (m+1)(2m+1)(71m+1) is a 3-Carmichael number (A087788).
%H A065703 Amiram Eldar, <a href="/A065703/b065703.txt">Table of n, a(n) for n = 1..10000</a>
%F A065703 am+1, bm+1, cm+1 are primes and am|(N-1), bm|(N-1), cm|(N-1).
%t A065703 CarmichaelNbrQ[n_] := ! PrimeQ@ n && Mod[n, CarmichaelLambda@ n] == 1; Select[ Range@ 1000000, PrimeQ[# + 1] && PrimeQ[2# + 1] && PrimeQ[71# + 1] && CarmichaelNbrQ[(# + 1)(2# + 1)(71# + 1)] &] (* _Robert G. Wilson v_, Aug 23 2012 *)
%o A065703 (PARI) for(m=1,1e6,is_A002997((m+1)*(2*m+1)*(71*m+1)) & print1(m","))  \\ - _M. F. Hasler_, Aug 23 2012
%Y A065703 Cf. A064238-A064262, A065695, A065696, A065697, A065698, A065699, A065700, A065701, A065702, A087788.
%K A065703 nonn
%O A065703 1,1
%A A065703 Harvey Dubner (harvey(AT)dubner.com), Nov 14 2001
%E A065703 Definition simplified, missing terms inserted, and extended by _M. F. Hasler_, Aug 23 2012
%E A065703 More terms from _Amiram Eldar_, Oct 17 2019