A344843 The smallest of three consecutive integers that are products of three or more primes.
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
Offset: 1
Keywords
Examples
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.
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000
Programs
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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 *) -
PARI
is(n) = for(i = 0, 2, if(bigomega(n + i) < 3, return(0))); 1 \\ David A. Corneth, Jun 08 2021