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Search: id:A060378
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| 2, 4, 8, 10, 16, 20, 26, 32, 38, 40, 52, 56, 64, 68, 82, 86, 94, 106, 116, 122, 136, 140, 146, 160, 172, 176, 188, 202, 218, 220, 242, 244, 256, 266, 290, 292, 304, 322, 332, 346, 368, 376, 382, 394, 412, 436, 446, 454, 460, 472, 502, 512, 530, 536, 562, 572
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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[References do not list this version of a sieve, only provided inspiration.] "That so many properties hitherto thought to be unique to the primes are possessed also by the luckies comes as a distinct surprise. If these properties are consequences only of the fact that the primes are generated by a sieving process and have nothing to do with primality, then the primes have been shorn of some of their distinction. ...it seems to be only the randomness of their method of selection that gives them some of the properties connected with their distribution. Ulam suggests that it might be worth investigating the results of other seiving programs." Ogilvy and Anderson, pp. 101-102. Is the asymptotic density of these numbers 1/log N as in the primes and luckies?
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REFERENCES
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C. Stanley Ogilvy and John T. Anderson, Excursions in Number Theory, Oxford University Press, 1966, p. 100-102.
Stanislav M. Ulam, A Collection of Mathematical Problems, (Interscience Publishers, New York, 1960), p. 120.
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FORMULA
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Begin with even numbers, strike out every third, 5-th, 7-th, 9-th ... of those remaining. Similar to A000959.
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CROSSREFS
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Cf. A000959.
Sequence in context: A032533 A062884 A026169 this_sequence A036975 A093547 A068382
Adjacent sequences: A060375 A060376 A060377 this_sequence A060379 A060380 A060381
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Apr 03 2001
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EXTENSIONS
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More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) Apr 10 2001. Corrected and further extended by Larry Reeves (larryr(AT)acm.org), May 09 2001
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