The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A304180 If n = Product (p_j^k_j) then a(n) = max{p_j}^max{k_j}. 2
 1, 2, 3, 4, 5, 3, 7, 8, 9, 5, 11, 9, 13, 7, 5, 16, 17, 9, 19, 25, 7, 11, 23, 27, 25, 13, 27, 49, 29, 5, 31, 32, 11, 17, 7, 9, 37, 19, 13, 125, 41, 7, 43, 121, 25, 23, 47, 81, 49, 25, 17, 169, 53, 27, 11, 343, 19, 29, 59, 25, 61, 31, 49, 64, 13, 11, 67, 289, 23, 7, 71, 27, 73, 37, 25 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Ilya Gutkovskiy, Scatter plot of a(n) up to n=100000 Eric Weisstein's World of Mathematics, Greatest Prime Factor FORMULA a(n) = A006530(n)^A051903(n). a(p^k) = p^k where p is a prime. a(A005117(k)) = A073482(k). a(A002110(k)) = A000040(k). EXAMPLE a(40) = 125 because 40 = 2^3*5^1, max{2,5} = 5, max{3,1} = 3 and 5^3 = 125. MATHEMATICA Table[(FactorInteger[n][[-1, 1]])^(Max @@ Last /@ FactorInteger[n]), {n, 75}] CROSSREFS Cf. A000040, A000961 (fixed points), A002110, A005117, A006530, A034699, A051903, A053585, A073482, A081810, A304181. Sequence in context: A325943 A295126 A235602 * A327498 A111615 A348401 Adjacent sequences:  A304177 A304178 A304179 * A304181 A304182 A304183 KEYWORD nonn AUTHOR Ilya Gutkovskiy, May 07 2018 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 December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)