A241896 Increasingly ordered odd primes p(m) with p(m) = (sum of the digits of all primes p(i) in base 3 for i=1, 2, ..., m-1) + (sum of digits of m-1 in base 3).

3, 5, 7, 11, 17, 29, 37, 695641, 695687, 695749, 695881, 699943, 700199, 715457, 883433, 883451, 883471, 883621, 992111, 992357, 992591, 993683, 1308563, 1309999, 1310041, 1310359, 1310993, 1313161, 1314191, 1314377, 1317271, 1324567, 1326097, 1326109, 1326649, 1760113, 1760287, 1766509, 1766537, 3173761, 3204779, 3204827, 4539191

Offset

1,1

Links

Table of n, a(n) for n=1..43.

Formula

This is the increasingly ordered set of numbers

S:= {odd primes: prime(m) = sum_{i=1..m-1} A239619(i) + A053735(m-1)}.

Example

prime(2) = 3  = A239619(1) + A053735(1) = 2 + 1. This is a(1) because it is the smallest odd prime from the defined set S.
prime(7) = 17 = sum_{i=1..6} A239619(i) + A053735(6) = (2 + 1 + 3 + 3 + 3 + 3) + 2 = 17. This is a(5) because it is the fifth smallest odd prime from the set S.
prime(6) = 13 is not a member of this sequence because (2 + 1 + 3 + 3 + 3) + 3 = 15 which is not equal 13, hence prime(6) is not a member of the set S.

Crossrefs

CF. A240886 (similar sequence with digit-sums), A168161 (similar sequence but in binary). A053735, A239619.

Sequence in context: A229168 A248714 A091567 * A076186 A092564 A068811

Adjacent sequences: A241893 A241894 A241895 * A241897 A241898 A241899

Keyword

base,nonn

Author

Anthony Sand, May 01 2014

Extensions

Edited. - Wolfdieter Lang, May 19 2014

Status

approved