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A206476
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Numbers n such that n^5 = a^2 + b^3 + c^5 for some positive integers a, b, and c.
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0
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2, 6, 8, 9, 10, 11, 12, 13, 14, 18, 19, 20, 21, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69
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listen;
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OFFSET
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1,1
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COMMENTS
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Some can be expressed in more than one way.
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LINKS
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EXAMPLE
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10^5 = 168^2 + 40^3 + 6^5 = 280^2 + 24^3 + 6^5.
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PROG
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(Maxima) isA206476(n) := block(
[a, b, c, v],
v : false ,
for c : 1 while c < n and not v do (
for b : 1 while b^3+c^5 < n^5 and not v do (
for a : isqrt(n^5-c^5-b^3) while a^2+b^3+c^5 <= n^5 and not v do (
if equal(a^2+b^3+c^5, n^5) then v : true
)
)
),
return(v)
)$
for n : 1 thru 100 do (
if equal(isA206476(n), true ) then print(n)
)$ /* R. J. Mathar, Feb 27 2012 */
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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