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 A354447 Taxicab numbers (sums of 2 cubes in more than 1 way) which are products of four distinct primes. 0
 684019, 704977, 2691451, 3242197, 3375001, 4931101, 5318677, 5772403, 8872487, 10702783, 16983854, 20616463, 24897817, 41258737, 46343059, 60698521, 66469429, 69625969, 79692193, 89576767, 95731489, 96753187, 97867441, 116773741, 119793457, 126516061, 147187369 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A squarefree subsequence of taxicab numbers. LINKS Table of n, a(n) for n=1..27. Eric Weisstein's World of Mathematics, Taxicab Number EXAMPLE 684019 = 51^3 + 82^3 = 64^3 + 75^3 = 7 * 19 * 37 * 139. 8872487 = 14^3 + 207^3 = 140^3 + 183^3 = 13 * 17 * 19 * 2113. 96753187 = 147^3 + 454^3 = 283^3 + 420^3 = 19 * 37 * 229 * 601. MATHEMATICA Select[Range[10^6], FactorInteger[#][[;; , 2]] == {1, 1, 1, 1} && Length @ PowersRepresentations[#, 2, 3] > 1 &] (* Amiram Eldar, May 30 2022 *) CROSSREFS Intersection of A001235 and A046386. Sequence in context: A236986 A258607 A081415 * A101698 A323805 A185865 Adjacent sequences: A354444 A354445 A354446 * A354448 A354449 A354450 KEYWORD nonn AUTHOR Massimo Kofler, May 30 2022 STATUS approved

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Last modified June 4 07:15 EDT 2023. Contains 363118 sequences. (Running on oeis4.)