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Numbers that are sums of fifth powers of two distinct primes.
3

%I #10 Sep 21 2024 08:43:05

%S 275,3157,3368,16839,17050,19932,161083,161294,164176,177858,371325,

%T 371536,374418,388100,532344,1419889,1420100,1422982,1436664,1580908,

%U 1791150,2476131,2476342,2479224,2492906,2637150,2847392,3895956

%N Numbers that are sums of fifth powers of two distinct primes.

%C This is to 5th powers as A120398 is to cubes and A130873 is to 4th powers.

%e a(1) = prime(1)^5 + prime(2)^5 = 2^5 + 3^5 = 32 + 243 = 275.

%t Select[Sort[ Flatten[Table[Prime[n]^5 + Prime[k]^5, {n, 15}, {k, n - 1}]]], # <= Prime[15^5] &]

%Y Cf. A000040, A050997, A120398, A122616, A130873.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Aug 06 2007