A382982 Primes of the form Sum_{i=j..k} prime(i)^prime(i).

31, 826699, 303160419086407

Offset: 1

Author

Zak Seidov and Robert Israel, Apr 11 2025

Keywords

• nonn

Comments

Primes that are sums of some number of consecutive terms of A051674.

Examples

			a(1) = 31 = 2^2 + 3^3 = Sum_{i=1..2} prime(i)^prime(i).
a(2) = 826699 = Sum_{i=1..4} prime(i)^prime(i).
a(3) = 303160419086407 = Sum_{i=4..6} prime(i)^prime(i).
a(4) = Sum_{i=1..24} prime(i)^prime(i) has 174 digits.
a(5) = Sum_{i=20..34} prime(i)^prime(i) has 298 digits.
a(6) = Sum_{i=30..38} prime(i)^prime(i) has 361 digits.
a(7) = Sum_{i=38..48} prime(i)^prime(i) has 524 digits.
a(8) = Sum_{i=46..84} prime(i)^prime(i) has 1142 digits.
a(9) = Sum_{i= 7..85} prime(i)^prime(i) has 1161 digits.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..7

Crossrefs

Cf. A051674, A061789, A340392.

Programs

Maple

select(isprime, [seq(seq(add(ithprime(i)^ithprime(i),i=j..k),j=1..k-1),k=1..76)]);