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Search: id:A119404
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| A119404 |
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Primes p=prime(i) of level (1,9), i.e., such that A118534(i)=prime(i-9). |
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6
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| 678659, 855739, 1403981, 2366543, 2744783, 2830657, 3027539, 3317033, 4525909, 4676851, 5341463, 5819563, 7087123, 7181897, 8815663, 9324257, 9878929, 9976937, 10403251, 10440641, 10447457, 10766411, 10787377, 11829151, 11881957
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This subsequence of A125830 and of A162174 gives primes of level (1,9): If the i-th prime p(i) has level 1 in A117563 and 2 p(i) - p(i+1) = p(i-k), then we say that p(i) has level (1,k).
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EXAMPLE
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prime(780815)-prime(780814)=prime(780814)-prime(780814-9),
prime(780815)-prime(780814)=prime(780814)-prime(780805),
11882071-11881957=11881957-11881843=114=6*19,
prime(780814) has a level 1 in A117563,
prime(780814)=11881957 has a level(1,9).
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CROSSREFS
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Cf. A117078, A117563, A006562 (level (1,1)), A117876, A118464, A118467.
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KEYWORD
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nonn,new
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AUTHOR
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Remi Eismann and Fabien Sibenaler (fabien.sibenaler(AT)club-internet.fr), Jul 25 2006
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EXTENSIONS
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Definition and comment reworded following suggestions from the authors. - M. F. Hasler (mhasler(AT)univ-ag.fr), Nov 30 2009
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