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Taxicab numbers (sums of 2 cubes in more than 1 way) which are products of five distinct primes.
1

%I #15 Aug 07 2022 12:58:09

%S 16387189,16776487,17045567,24767171,38253878,39639691,40183262,

%T 41892515,44409995,51278929,60271939,73842713,106496767,122810129,

%U 129380329,145908847,154245637,156234169,176427433,197842337,243578881,271688534,272264167,292940137,300694303,373333697,389675503,401947273

%N Taxicab numbers (sums of 2 cubes in more than 1 way) which are products of five distinct primes.

%C A squarefree subsequence of taxicab numbers.

%H David A. Corneth, <a href="/A355095/b355095.txt">Table of n, a(n) for n = 1..3057</a> (terms <= 10^13)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TaxicabNumber.html">Taxicab Number</a>

%e 16387189 = 5^3 + 254^3 = 197^3 + 206^3 = 7*13*31*37*157.

%e 38253878 = 87^3 + 335^3 = 173^3 + 321^3 = 2*13*19*211*367.

%e 44409995 = 138^3 + 347^3 = 176^3 + 339^3 = 5*7*97*103*127.

%Y Intersection of A001235 and A046387.

%K nonn

%O 1,1

%A _Massimo Kofler_, Jun 19 2022