A345864 Numbers that are the sum of five fifth powers in six or more ways.

288203194368, 2784485221024, 6022068333568, 9222502219776, 9670153077344, 10918228000032, 15441787364576

Offset: 1

Author

David Consiglio, Jr., Jun 27 2021

Keywords

• nonn
• more

Crossrefs

Cf. A344940, A345720, A345863.

Programs

Python

from itertools import combinations_with_replacement as cwr
from collections import defaultdict
keep = defaultdict(lambda: 0)
power_terms = [x**5 for x in range(1, 1000)]
for pos in cwr(power_terms, 5):
    tot = sum(pos)
    keep[tot] += 1
    rets = sorted([k for k, v in keep.items() if v >= 6])
    for x in range(len(rets)):
        print(rets[x])