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A124661
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Primes prime(n) such that prime(n-k)+prime(n+k) >= 2*prime(n) for all k = 1,2,...n-2.
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0
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2, 3, 5, 7, 13, 19, 23, 31, 43, 47, 73, 83, 109, 113, 181, 199, 283, 293, 313, 317, 463, 467, 503, 509, 523, 619, 661, 683, 691, 887, 1063, 1069, 1103, 1109, 1123, 1129, 1303, 1307, 1321, 1327, 1613, 1621, 1627, 1637, 1669, 1789
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The first two primes, 2 and 3, are tested against an empty set of k, and we include them, defining such a test to have a positive outcome.
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EXAMPLE
| prime(11)=31 is in the sequence because prime(10)+prime(12) = 66, prime(9)+prime(13) = 64,..., prime(2)+prime(20) = 74 are all >= 62 = 2*31.
prime(10) = 29 is not in the sequence because prime(9)+prime(11) = 54 for example is smaller than 58 = 2*29.
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CROSSREFS
| Cf. A051635.
Sequence in context: A118371 A153591 A038917 * A134266 A062252 A153800
Adjacent sequences: A124658 A124659 A124660 * A124662 A124663 A124664
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KEYWORD
| nonn,easy
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Dec 23 2006
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EXTENSIONS
| Sequence extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 28 2010
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