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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). 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 15 17:24 EDT 2019. Contains 328037 sequences. (Running on oeis4.)