A382982 Primes of the form Sum_{i=j..k} prime(i)^prime(i).
31, 826699, 303160419086407
Offset: 1
Keywords
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
Programs
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Maple
select(isprime, [seq(seq(add(ithprime(i)^ithprime(i),i=j..k),j=1..k-1),k=1..76)]);
Comments