

A129241


Balanced primes q such that p = (r+q+s1)/2 is a balanced prime, where r, q, s are consecutive primes.


2



104161, 169313, 449381, 751753, 857321, 915029, 937789, 976501, 981049, 986581, 1138901, 1159889, 1219469, 1370921, 1488749, 1881949, 1903289, 1980073, 2246129, 2329949, 2356609, 2422093, 2514389, 2602429, 2752921, 2857369
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

The primes p arising here are in A129242.
Subsequence of A129190, where q need not be balanced.


LINKS

Table of n, a(n) for n=1..26.


EXAMPLE

104149, 104161, 104173 are consecutive primes and 104161 = A006562(446) is a balanced prime (distance 12). (104149+104161+1041731)/2 = 156241 = A006562(629) is a balanced prime, it has distance 12 to the preceding prime 156229 and to the next prime 156253. Hence 104161 is a term.


PROG

(MAGMA) [ q: q in PrimesInInterval(3, 2900000)  r+s eq 2*q and IsPrime(p) and PreviousPrime(p)+NextPrime(p) eq 2*p where p is (r+q+s1) div 2 where r is PreviousPrime(q) where s is NextPrime(q) ];


CROSSREFS

Cf. A006562 (balanced primes), A129190, A129242.
Sequence in context: A205260 A076761 A236007 * A290535 A253709 A235005
Adjacent sequences: A129238 A129239 A129240 * A129242 A129243 A129244


KEYWORD

nonn


AUTHOR

Klaus Brockhaus, Apr 05 2007


STATUS

approved



