cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A344843 The smallest of three consecutive integers that are products of three or more primes.

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%I A344843 #57 Nov 18 2021 15:14:42
%S A344843 98,124,152,170,174,188,230,242,243,244,284,342,343,350,368,374,404,
%T A344843 423,424,428,434,440,474,475,494,506,530,548,574,594,602,603,604,608,
%U A344843 636,637,638,644,650,656,663,664,710,714,724,728,740,774,775,782,804,824
%N A344843 The smallest of three consecutive integers that are products of three or more primes.
%H A344843 David A. Corneth, <a href="/A344843/b344843.txt">Table of n, a(n) for n = 1..10000</a>
%e A344843 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.
%t A344843 Select[Range[1002], Total[Transpose[FactorInteger[#]][[2]]] >= 3 && Total[Transpose[FactorInteger[# + 1]][[2]]] >= 3 && Total[Transpose[FactorInteger[# + 2]][[2]]] >= 3 &]
%t A344843 p3pQ[k_]:=Boole[#>2&/@k]=={1,1,1}; Position[Partition[PrimeOmega[ Range[ 900]],3,1],_?p3pQ]//Flatten (* _Harvey P. Dale_, Nov 18 2021 *)
%o A344843 (PARI) is(n) = for(i = 0, 2, if(bigomega(n + i) < 3, return(0))); 1 \\ _David A. Corneth_, Jun 08 2021
%K A344843 nonn
%O A344843 1,1
%A A344843 _Tanya Khovanova_, Jun 07 2021