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A129241 Balanced primes q such that p = (r+q+s-1)/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+104173-1)/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+s-1) 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

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Last modified July 27 05:04 EDT 2021. Contains 346305 sequences. (Running on oeis4.)