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Search: id:A129242
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| A129242 |
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Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes and q is a balanced prime. |
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3
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| 156241, 253969, 674071, 1127629, 1285981, 1372543, 1406683, 1464751, 1471573, 1479871, 1708351, 1739833, 1829203, 2056381, 2233123, 2822923, 2854933, 2970109, 3369193, 3494923, 3534913, 3633139, 3771583, 3903643, 4129381
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The primes q arising here are in A129241.
Subsequence of A129191, where q need not be balanced.
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EXAMPLE
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253969 = (169307+169313+169319-1)/2 = A006562(937) is a balanced prime, it has distance 18 to the preceding prime 253951 and to the next prime 253987. 169307, 169313, 169319 are consecutive primes and 169313 = A006562(666) is a balanced prime (distance 6), hence 253969 is a term.
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PROGRAM
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(MAGMA) [ p: 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) ];
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CROSSREFS
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Cf. A006562 (balanced primes), A129191, A129241.
Sequence in context: A050520 A049443 A156118 this_sequence A114658 A034210 A034212
Adjacent sequences: A129239 A129240 A129241 this_sequence A129243 A129244 A129245
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 05 2007
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