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A362945
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Numbers k such that k + the sum of the fifth powers of its digits is again a fifth power.
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1
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0, 210, 66374, 76933, 294137, 722571, 741300, 1023716, 2412593, 3959235, 4022940, 5090402, 6351886, 7821198, 9653864, 11808061, 11814811, 20427955, 24190287, 24239133, 24245187, 33518020, 33532714, 33536551, 39060306, 52476271, 52480534, 69255266, 69265142, 79091461, 89980491, 90147222
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OFFSET
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0,2
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LINKS
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PROG
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(PARI) is_A362945(n, p=5)=ispower(vecsum([d^p|d<-digits(n)])+n, p)
for(n=0, 1e8, is_A362945(n) && print1(n", "))
(Python)
ispower5 = lambda n: n==round(n**.2)**5
is_A362945 = lambda n: ispower5(sum(int(d)**5 for d in str(n))+n)
while len(A) < n:
A.append(A[-1]+1)
while not is_A362945(A[-1]): A[-1]+=1
return A[n]
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CROSSREFS
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Cf. A000584 (4th powers), A055014 (sum of 5th powers of decimal digits).
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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