A065703 Values of m such that N = (m+1)(2m+1)(71m+1) is a 3-Carmichael number (A087788).
1170, 5430, 53568, 59106, 63366, 86370, 95316, 99576, 103836, 105966, 116190, 183498, 184776, 239730, 260178, 300648, 319818, 333450, 339840, 362418, 367530, 481698, 485958, 503850, 511518, 605238, 644856, 725370, 732186, 762006, 788418, 799920, 837408, 870210
Offset: 1
Keywords
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Crossrefs
Programs
-
Mathematica
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 *)
-
PARI
for(m=1,1e6,is_A002997((m+1)*(2*m+1)*(71*m+1)) & print1(m",")) \\ - M. F. Hasler, Aug 23 2012
Formula
am+1, bm+1, cm+1 are primes and am|(N-1), bm|(N-1), cm|(N-1).
Extensions
Definition simplified, missing terms inserted, and extended by M. F. Hasler, Aug 23 2012
More terms from Amiram Eldar, Oct 17 2019