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A192203
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Numbers k such that k, k+1, and k+2 are each the product of exactly 5 distinct primes.
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7
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16467033, 18185869, 21134553, 21374353, 21871365, 22247553, 22412533, 22721585, 24845313, 25118093, 25228929, 25345333, 25596933, 26217245, 27140113, 29218629, 29752345, 30323733, 30563245, 31943065, 32663265, 33367893, 36055045, 38269021, 39738061, 40547065
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OFFSET
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1,1
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COMMENTS
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All terms are congruent to 1 mod 4. - Zak Seidov, Dec 22 2014
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LINKS
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EXAMPLE
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a(1)=16467033 because it is the product of 5 distinct primes (3,11,17,149,197), and so are a(1)+1: 16467034 (2,19,23,83,227), and a(1)+2: 16467035 (5,13,37,41,167).
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MATHEMATICA
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SequencePosition[Table[If[PrimeNu[n]==PrimeOmega[n]==5, 1, 0], {n, 164*10^5, 406*10^5}], {1, 1, 1}][[;; , 1]]+164*10^5-1 (* Harvey P. Dale, Jul 17 2024 *)
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PROG
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(PARI) forstep(n=1+10^7, 1e8, 4, for(k=n, n+2, issquarefree(k)||next(2)); for(k=n, n+2, omega(k)==5||next(2)); print1((n)", ")) \\ M. F. Hasler, May 19 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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