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Search: id:A092418
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| A092418 |
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Smarandache quaternary sieve: starting with the sequence of positive integers, delete every 4th number, then delete every 16th number from the remaining sequence, then delete every 64th number, etc. Sequence gives the remaining numbers. |
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+0
1
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| 1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 86, 87, 89, 91, 93, 94, 95, 97, 98, 99, 101, 102
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This sequence is the case n=4 of the Smarandache n-ary sieve. Conjecture: this sequence contains infinitely many primes and infinitely many composite numbers.
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REFERENCES
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C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I, Erhus Publ., Glendale, 1994.
F. Smarandache, Properties of Numbers, 1972.
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LINKS
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C. Dumitrescu & V. Seleacu, editors, Some Notions and Questions in Number Theory, Vol. I, item 31.
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PROGRAM
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(Matlab program by D. Wasserman) A = 1:200; A(4:4:end) = 0; A = A(find(A)); A(16:16:end) = 0; A = A(find(A)); A(64:64:end) = 0; A = A(find(A))
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CROSSREFS
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Cf. A007950, A007951.
Sequence in context: A042968 A059557 A048103 this_sequence A004195 A083347 A137217
Adjacent sequences: A092415 A092416 A092417 this_sequence A092419 A092420 A092421
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KEYWORD
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nonn,easy
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AUTHOR
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C. Le (charlestle(AT)yahoo.com), Mar 22 2004
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EXTENSIONS
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Edited by David Wasserman (wasserma(AT)spawar.navy.mil), Apr 28 2004
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