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 A344843 The smallest of three consecutive integers that are products of three or more primes. 2
 98, 124, 152, 170, 174, 188, 230, 242, 243, 244, 284, 342, 343, 350, 368, 374, 404, 423, 424, 428, 434, 440, 474, 475, 494, 506, 530, 548, 574, 594, 602, 603, 604, 608, 636, 637, 638, 644, 650, 656, 663, 664, 710, 714, 724, 728, 740, 774, 775, 782, 804, 824 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS David A. Corneth, Table of n, a(n) for n = 1..10000 EXAMPLE 98 = 2*7*7, 99 = 3*3*11, 100 = 2*2*5*5. Three consecutive integers 98, 99, and 100 are each products of three or more primes. Thus, 98 is a term. MATHEMATICA Select[Range[1002], Total[Transpose[FactorInteger[#]][[2]]] >= 3 && Total[Transpose[FactorInteger[# + 1]][[2]]] >= 3 && Total[Transpose[FactorInteger[# + 2]][[2]]] >= 3 &] p3pQ[k_]:=Boole[#>2&/@k]=={1, 1, 1}; Position[Partition[PrimeOmega[ Range[ 900]], 3, 1], _?p3pQ]//Flatten (* Harvey P. Dale, Nov 18 2021 *) PROG (PARI) is(n) = for(i = 0, 2, if(bigomega(n + i) < 3, return(0))); 1 \\ David A. Corneth, Jun 08 2021 CROSSREFS Sequence in context: A039491 A283555 A244207 * A109553 A268253 A105405 Adjacent sequences: A344840 A344841 A344842 * A344844 A344845 A344846 KEYWORD nonn AUTHOR Tanya Khovanova, Jun 07 2021 STATUS approved

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Last modified September 28 14:46 EDT 2023. Contains 365736 sequences. (Running on oeis4.)