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a(n) = prime(n+1)^n + prime(n)^n.
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%I #7 Jun 30 2024 03:30:30

%S 5,34,468,17042,532344,28964378,1304210412,95294548322,16308298637332,

%T 1240335520281002,203326098675865244,29146442306206221362,

%U 2643367226597304414564,330552343531805913099818,85200500239848987963203500,25435446457194919247155743362,3513844792272393084250431362040

%N a(n) = prime(n+1)^n + prime(n)^n.

%C Prime(n) is the n-th prime number.

%F a(n) = A062457(n) + A093360(n+1). - _Amiram Eldar_, Jun 30 2024

%e For n=2, prime(2+1)^2 - prime(2)^2 = 5^2 + 3^2 = 34, the second term.

%t Table[Prime[n+1]^n + Prime[n]^n, {n, 1, 20}] (* _Amiram Eldar_, Jun 30 2024 *)

%o (PARI) g2(n) = for(x=1,n,y=prime(x+1)^x+prime(x)^x;print1(y","))

%Y Cf. A062457, A093360.

%K nonn

%O 1,1

%A _Cino Hilliard_, Jun 17 2007

%E More terms from _Amiram Eldar_, Jun 30 2024