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URL: https://oeis.org/A392412

⇱ A392412 - OEIS

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A392412
Smallest sum of n powers, where all bases and exponents are different primes.
1
8, 174, 18307, 19863738, 1792573221817, 10021071717171912, 5480903094684086387989, 81872643259784897802638556, 4316742844900502599568730017541461, 17761888924321463357789688476618084642025176, 4172880980943649737519154399519049993250057256249
OFFSET
1,1
COMMENTS
For the data given, except a(1), the largest component to be summed to make the term a(n) is prime(n+1)^prime(n), where prime(n) is the n-th prime.
FORMULA
a(n) = prime(2*n)^prime(1) + ... + prime(n+1)^prime(n) for n >= 2. - Pontus von Brömssen, Jan 23 2026
EXAMPLE
a(2) = 7^2 + 5^3 = 49 + 125 = 174.
a(5) = 29^2 + 23^3 + 19^5 + 17^7 + 13^11 = 1792573221817.
CROSSREFS
Cf. A053810.
Sequence in context: A138783 A067637 A357503 * A024109 A027464 A220966
KEYWORD
nonn,easy
AUTHOR
Paul Duckett, Jan 10 2026
STATUS
approved