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A141650
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Primes of the form n/(2*(p(n+1)-p(n)), where p(n)=n-th prime.
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0
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5, 7, 3, 13, 7, 11, 29, 17, 37, 7, 5, 53, 59, 67, 19, 13, 41, 83, 31, 107, 131, 19, 47, 71, 29, 157, 193, 41, 19, 241, 61, 251, 137, 47, 97, 311, 23, 331, 67, 397, 137, 211, 73, 149, 229, 157, 79, 41, 251, 503, 43, 173, 263, 269, 619, 311, 659, 691, 353, 739, 199, 421, 281, 853
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Entries may be repeated and are shown in order of increasing generator n.
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EXAMPLE
| n=20: 20/(2*(p(20+1)-p(20))=20/(2*(73-71))=5=a(1).
n=28: 28/(2*(p(28+1)-p(28))=28/(2*(109-107))=7=a(2).
n=36: 36/(2*(p(36+1)-p(36))=36/(2*(157-151))=3=a(3).
n=52: 52/(2*(p(52+1)-p(52))=52/(2*(241-239))=13=a(4).
n=84: 84/(2*(p(84+1)-p(84))=84/(2*(439-433))=7=a(5).
n=88: 88/(2*(p(88+1)-p(88))=88/(2*(461-457))=11=a(6).
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CROSSREFS
| Cf. A000040.
Sequence in context: A205135 A076567 A146535 * A058091 A109986 A021868
Adjacent sequences: A141647 A141648 A141649 * A141651 A141652 A141653
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KEYWORD
| nonn
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AUTHOR
| Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Sep 13 2008
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EXTENSIONS
| Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 26 2008
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