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Search: id:A110889
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| A110889 |
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Carmichael numbers that are not == 1 mod 12. There are 69 Carmichael numbers out to 2*m+1, m=2*10^6 and all but the above 9 are 1 mod 12. |
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+0
1
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| 561, 2465, 8911, 62745, 162401, 656601, 1024651, 1152271, 1909001
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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8911=7*19*67=5 mod 12.
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MAPLE
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with(numtheory); CM:=[]: for z from 1 to 1 do for m from 1 to 2000000 do n:=2*m+1; if not(isprime(n)) and issqrfree(n) then PF:=factorset(n); cmb:=true; for x in PF do if (n-1) mod (x-1) > 0 then cmb:=false fi od; if cmb then CM:=[op(CM), n]; fi; fi; #not od; #m od; #z select(proc(z) not(z mod 12 = 1) end, CM);
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CROSSREFS
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Cf. A002997.
Sequence in context: A083732 A135720 A097130 this_sequence A063400 A141706 A083736
Adjacent sequences: A110886 A110887 A110888 this_sequence A110890 A110891 A110892
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KEYWORD
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nonn
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AUTHOR
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Walter A. Kehowski (wkehowski(AT)cox.net), Sep 20 2005
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