|
Search: id:A157197
|
|
|
| A157197 |
|
Numbers k such that p(k) + p(k+1) + p(k+2) = A122706(n)^n, where p(k) is a k-th prime. |
|
+0
1
|
| |
|
|
OFFSET
|
1,1
|
|
|
EXAMPLE
|
a(1) = 3 because p(3) + p(4) + p(5) = 5 + 7 + 11 = 23 = A122706(1)^1. a(2) = 6 because p(6) + p(7) + p(8) = 13 + 17 + 19 = 49 = 7^2 = A122706(2)^2.
|
|
CROSSREFS
|
Cf. A122706 = Smallest prime p such that p^n equal to the sum of 3 consecutive primes, or 1 if such a prime does not exist.
Sequence in context: A050722 A069502 A023174 this_sequence A036286 A084008 A092680
Adjacent sequences: A157194 A157195 A157196 this_sequence A157198 A157199 A157200
|
|
KEYWORD
|
more,nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 24 2009
|
|
|
Search completed in 0.002 seconds
|
