The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A339361 Product of prime indices of the n-th squarefree semiprime. 6
 2, 3, 4, 6, 8, 5, 6, 10, 7, 12, 8, 12, 9, 14, 15, 16, 10, 11, 18, 18, 12, 20, 13, 21, 14, 20, 24, 22, 15, 24, 16, 24, 27, 17, 28, 18, 26, 28, 32, 19, 30, 20, 30, 30, 21, 33, 22, 32, 36, 23, 34, 24, 36, 36, 35, 25, 38, 26, 40, 39, 27, 40, 40, 28, 42, 44, 29, 42 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A squarefree semiprime (A006881) is a product of any two distinct prime numbers. A prime index of n is a number m such that the m-th prime number divides n. The multiset of prime indices of n is row n of A112798. LINKS FORMULA a(n) = A003963(A006881(n)). a(n) = A270650(n) * A270652(n). EXAMPLE The sequence of all squarefree semiprimes together with the products of their prime indices begins:    6: 1 * 2 = 2   10: 1 * 3 = 3   14: 1 * 4 = 4   15: 2 * 3 = 6   21: 2 * 4 = 8   22: 1 * 5 = 5   26: 1 * 6 = 6   33: 2 * 5 = 10   34: 1 * 7 = 7   35: 3 * 4 = 12 MATHEMATICA Table[Times@@PrimePi/@First/@FactorInteger[n], {n, Select[Range, SquareFreeQ[#]&&PrimeOmega[#]==2&]}] CROSSREFS A001358 lists semiprimes. A003963 gives the product of prime indices of n. A005117 lists squarefree numbers. A006881 lists squarefree semiprimes. A025129 is the sum of squarefree semiprimes of weight n. A332765/A339114 give the greatest/least squarefree semiprime of weight n. A338898/A338912/A338913 give the prime indices of semiprimes, with product/sum/difference A087794/A176504/A176506. A338899/A270650/A270652 give the prime indices of squarefree semiprimes, with product/sum/difference A339361/A339362/A338900. A338905 groups squarefree semiprimes by weight. A338907/A338908 list squarefree semiprimes of odd/even weight. A339116 groups squarefree semiprimes by greater prime factor. Cf. A001221, A046388, A056239 (weight), A112798, A166237, A320656, A320911, A338901, A339002, A339003, A339004. Sequence in context: A152306 A120817 A327887 * A166310 A293030 A109852 Adjacent sequences:  A339358 A339359 A339360 * A339362 A339363 A339364 KEYWORD nonn AUTHOR Gus Wiseman, Dec 06 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 26 08:55 EST 2022. Contains 350578 sequences. (Running on oeis4.)