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A060378 Even-odd sieve. 0
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; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

[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 sieving programs." Ogilvy and Anderson, pp. 101-102. Is the asymptotic density of these numbers 1/log N as in the primes and luckies?

REFERENCES

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.

LINKS

Table of n, a(n) for n=2..57.

FORMULA

Begin with even numbers, strike out every 3rd, 5th, 7th, 9th ... of those remaining. Similar to A000959.

CROSSREFS

Cf. A000959.

Sequence in context: A062884 A026169 A177931 * A185064 A036975 A287178

Adjacent sequences: A060375 A060376 A060377 * A060379 A060380 A060381

KEYWORD

easy,nonn

AUTHOR

Jason Earls, Apr 03 2001

EXTENSIONS

More terms from Michel ten Voorde Apr 10 2001

Corrected and further extended by Larry Reeves (larryr(AT)acm.org), May 09 2001

STATUS

approved

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Last modified December 9 19:36 EST 2022. Contains 358703 sequences. (Running on oeis4.)