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A349764
a(n) is the smallest number which can be represented as the sum of n distinct n-th powers of primes in exactly n ways.
5
2, 410, 8627527, 199898912404
OFFSET
1,1
EXAMPLE
For n = 2: 410 = 7^2 + 19^2 = 11^2 + 17^2.
For n = 3: 8627527 = 19^3 + 151^3 + 173^3 = 23^3 + 139^3 + 181^3 = 71^3 + 73^3 + 199^3.
From Michael S. Branicky, Dec 21 2021: (Start)
For n = 4: 199898912404 = 23^4 + 281^4 + 397^4 + 641^4,
= 137^4 + 383^4 + 467^4 + 601^4,
= 151^4 + 227^4 + 557^4 + 563^4,
= 257^4 + 317^4 + 347^4 + 643^4. (End)
CROSSREFS
Cf. A146756.
Sequence in context: A070269 A352837 A352848 * A153911 A259562 A177321
KEYWORD
nonn,hard,bref,more
AUTHOR
Ilya Gutkovskiy, Dec 20 2021
EXTENSIONS
a(4) from Michael S. Branicky, Dec 21 2021
STATUS
approved