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 A108166 Semiprimes p*q where both p and q are primes of the form 6n-1 (A007528). 7
 25, 55, 85, 115, 121, 145, 187, 205, 235, 253, 265, 289, 295, 319, 355, 391, 415, 445, 451, 493, 505, 517, 529, 535, 565, 583, 649, 655, 667, 685, 697, 745, 781, 799, 835, 841, 865, 895, 901, 913, 943, 955, 979, 985, 1003, 1081, 1111, 1135, 1165, 1177, 1189 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Every semiprime not divisible by 2 or 3 must be in one of these three disjoint sets: A108164 - the product of two primes of the form 6n + 1 (A002476), A108166 - the product of two primes of the form 6n - 1 (A007528), A108172 - the product of a prime of the form 6n + 1 and a prime of the form 6n - 1. The product of two primes of the form 6n - 1 is a semiprime of the form 6n + 1. REFERENCES Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 870. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. FORMULA {a(n)} = {p*q where both p and q are in A007528}. MATHEMATICA Module[{nn = 150, pf}, pf = Select[6Range[nn] - 1, PrimeQ]; Take[Union[Times@@@Tuples[pf, 2]], nn/2]] (* Harvey P. Dale, Dec 09 2013 *) Select[6Range[200] + 1, PrimeOmega[#] == 2 && Mod[FactorInteger[#][[1, 1]], 6] == 5 &] (* Alonso del Arte, Aug 24 2017 *) CROSSREFS Cf. A001358, A007528. Sequence in context: A206075 A276448 A176275 * A080863 A091214 A036305 Adjacent sequences:  A108163 A108164 A108165 * A108167 A108168 A108169 KEYWORD easy,nonn AUTHOR Jonathan Vos Post, Jun 13 2005 EXTENSIONS Edited and extended by Ray Chandler, Oct 15 2005 STATUS approved

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Last modified February 27 15:59 EST 2020. Contains 332307 sequences. (Running on oeis4.)