A362945 Numbers k such that k + the sum of the fifth powers of its digits is again a fifth power.

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

Offset

0,2

Links

Table of n, a(n) for n=0..31.

Prog

(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)
def A362945(n, A=[0]):
    while len(A) < n:
        A.append(A[-1]+1)
        while not is_A362945(A[-1]): A[-1]+=1
    return A[n]

Crossrefs

Cf. A000584 (4th powers), A055014 (sum of 5th powers of decimal digits).

Cf. A362953 (same for 3rd powers), A362954 (same for 4th powers).

Sequence in context: A014979 A356690 A376864 * A275458 A353111 A229671

Adjacent sequences: A362942 A362943 A362944 * A362946 A362947 A362948

Keyword

nonn,base

Author

M. F. Hasler, June 15 2023

Status

approved