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Search: id:A129191
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| A129191 |
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Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes. |
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3
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| 593, 1907, 4409, 6323, 15313, 17483, 19577, 25673, 26693, 29269, 34673, 38867, 46889, 54773, 64013, 67169, 68483, 74567, 81749, 85049, 95273, 96431, 110813, 111863, 127643, 132929, 134213, 134639, 135089, 140351, 156241, 157253, 160403
(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 A129190.
q need not be a balanced prime, see however A129242.
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EXAMPLE
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1907 = (1259+1277+1279-1)/2 is prime and 1259, 1277, 1279 are consecutive primes. 1907 = A006562(24) is a balanced prime, it has distance 6 to the preceding prime 1901 and to the next prime 1913. Hence 1907 is a term.
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PROGRAM
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(MAGMA) [ p: q in PrimesInInterval(3, 110000) | IsPrime(p) and PreviousPrime(p)+NextPrime(p) eq 2*p where p is (PreviousPrime(q)+q+NextPrime(q)-1) div 2];
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CROSSREFS
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Cf. A006562 (balanced primes), A127313, A129190, A129242.
Adjacent sequences: A129188 A129189 A129190 this_sequence A129192 A129193 A129194
Sequence in context: A113509 A115487 A116170 this_sequence A078960 A025337 A025338
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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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