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Numbers that are the sum of five fifth powers in six or more ways.
6

%I #13 May 10 2024 08:50:25

%S 288203194368,2784485221024,6022068333568,9222502219776,9670153077344,

%T 10918228000032,15441787364576

%N Numbers that are the sum of five fifth powers in six or more ways.

%o (Python)

%o from itertools import combinations_with_replacement as cwr

%o from collections import defaultdict

%o keep = defaultdict(lambda: 0)

%o power_terms = [x**5 for x in range(1, 1000)]

%o for pos in cwr(power_terms, 5):

%o tot = sum(pos)

%o keep[tot] += 1

%o rets = sorted([k for k, v in keep.items() if v >= 6])

%o for x in range(len(rets)):

%o print(rets[x])

%Y Cf. A344940, A345720, A345863.

%K nonn,more

%O 1,1

%A _David Consiglio, Jr._, Jun 27 2021