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A107978
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Products of two primes of the form 4n+3 (A002145).
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6
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9, 21, 33, 49, 57, 69, 77, 93, 121, 129, 133, 141, 161, 177, 201, 209, 213, 217, 237, 249, 253, 301, 309, 321, 329, 341, 361, 381, 393, 413, 417, 437, 453, 469, 473, 489, 497, 501, 517, 529, 537, 553, 573, 581, 589, 597, 633, 649, 669, 681, 713, 717, 721, 737
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Every odd semiprime must be in one of three disjoint sets: the product of two primes of the form 4n+1 (A121387), the product of two primes of the form 4n+3 (A107978), or the product of a prime of the form 4n+1 and a prime of the form 4n+3 (A080774).
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
Eric Weisstein's World of Mathematics, Semiprime.
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FORMULA
| {a(n)} = {p*q: p and q both elements of A002145}.
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MATHEMATICA
| Contribution from Robert G. Wilson v (rgwv(AT)rgwv.com), May 20 2010: (Start)
p = Select[ Prime@ Range@ 60, Mod[ #, 4] == 3 &]; Take[ Sort@ Flatten@ Table[ p[[i]] p[[j]], {j, 30}, {i, j}], 54] (* or *)
fQ[n_] := Block[{fi = FactorInteger@ n}, Plus @@ Last /@ fi == 2 && Union@ Mod[ First /@ fi, 4] == {3}]; Select[ Range@ 748, fQ@# &] (End)
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CROSSREFS
| Cf. A001358, A002145, A080774, A121387. Union of A131574 and A080109. Third row of A121388.
Sequence in context: A176256 A017629 A176258 * A043112 A043892 A146069
Adjacent sequences: A107975 A107976 A107977 * A107979 A107980 A107981
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 12 2005
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EXTENSIONS
| Edited by N. J. A. Sloane, May 20 2010
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