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A372319
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Products of prime triples (p, p+2, p+6) where p = A022004(n).
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1
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385, 2431, 7429, 82861, 1113121, 1317919, 7262011, 12112039, 30857731, 42749359, 99677881, 266669461, 558789841, 635308669, 690017701, 1308131911, 2095502089, 2215630321, 2922149239, 3265932301, 3305715499, 4170674419, 6577726891, 7995982009, 9046566901, 11234386249
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OFFSET
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1,1
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COMMENTS
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Terms are congruent to 1 (mod 6), since A022004(n) is congruent to 5 mod 6, and 5+2 and 5+6 are congruent to 1 and 5 (mod 6), respectively. The product 5*1*5 is congruent to 1 (mod 6).
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LINKS
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EXAMPLE
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a(1) = 385 = 5 * 7 * 11.
a(2) = 2431 = 11 * 13 * 17.
a(3) = 7429 = 17 * 19 * 23, etc.
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MATHEMATICA
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Map[Times @@ NextPrime[#, {0, 1, 2}] &, Select[Prime@ Range[360], AllTrue[{# + 2, # + 6}, PrimeQ] &]]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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