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A373190
Integers whose fourth power has exactly the same digits as another fourth power.
2
4, 5, 32, 40, 49, 50, 66, 84, 101, 110, 320, 332, 400, 424, 490, 500, 660, 746, 763, 767, 840, 845, 1001, 1002, 1005, 1010, 1020, 1034, 1045, 1050, 1054, 1066, 1088, 1100, 1198, 1206, 1304, 1459, 1557, 1561, 1587, 1701, 1718, 1728, 1752, 1811, 1816, 1965, 1995
OFFSET
1,1
EXAMPLE
4 is in the list because 4^4=256, which has the same digits as 5^4=625.
So the terms 4 and 5 are paired. S are 32 and 49. - N. J. A. Sloane, Jun 17 2024
MATHEMATICA
Sort[Flatten[
Select[Gather[
Table[{n, n^4, Sort[IntegerDigits[n^4]]}, {n, 1, 2000}],
Last[#1] == Last[#2] &], Length[#] > 1 &], 1][[All, 1]]]
PROG
(Python) # uses imports, functions at A188065
print(list(islice(A188065_gen(root=4), 50))) # Michael S. Branicky, May 27 2024
CROSSREFS
KEYWORD
nonn,base,less
AUTHOR
Erich Friedman, May 27 2024
STATUS
approved