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A092127
Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.
10
213, 1133, 1343, 1383, 1385, 1835, 1937, 2315, 2807, 3091, 3093, 3095, 3147, 3977, 4313, 4529, 4835, 5089, 5609, 5611, 6185, 6533, 7141, 8129, 8131, 8133, 8135, 9753, 9755, 9983, 9985, 9987, 9989, 10401, 10403, 11013, 11015, 11099, 11663, 12053
OFFSET
1,1
COMMENTS
Semiprimes in arithmetic progression. All terms are odd, see also A056809.
LINKS
MAPLE
R:= NULL:
state:= 0: count:= 0:
for n from 1 by 2 while count < 50 do
if numtheory:-bigomega(n) = 2 then state:= state+1
else state:= 0
fi;
if state >= 5 then R:= R, n - 8; count:= count+1; fi
od:
R; # Robert Israel, Sep 11 2025
MATHEMATICA
PrimeFactorExponentsAdded[n_] := Plus @@ Flatten[Table[ #[[2]], {1}] & /@ FactorInteger[n]]; Select[ Range[ 12054], PrimeFactorExponentsAdded[ # ] == PrimeFactorExponentsAdded[ # + 2] == PrimeFactorExponentsAdded[ # + 4] == PrimeFactorExponentsAdded[ # + 6] == PrimeFactorExponentsAdded[ # + 8] == 2 &] (* Robert G. Wilson v, Feb 24 2004 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Zak Seidov, Feb 22 2004
STATUS
approved