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Search: id:A147764
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| A147764 |
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Elias omega coded prime numbers represented in decimal. |
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+0
2
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| 8, 12, 84, 92, 236, 244, 2628, 2636, 2652, 2676, 2684, 5524, 5540, 5548, 5564, 5588, 5612, 5620, 11532, 11548, 11556, 11580, 11596, 11620, 11652, 11668, 11676, 11692, 11700, 11716, 11772, 24076, 24100, 24108, 24148, 24156, 24180, 24204, 24220
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The sequence in binary begins:
2 1000
3 1100
5 1010100
7 1011100
The final 0 bit represents an exponent of 1.
Because this is a prefix code, there is a one to one mapping between the integers and integers representing their factors, provided that the coded factors and exponents are adequately delimited, such as by inserting additional 0 bits.
For example, 75600 = 2^4 * 3^3 * 5^2 * 7 is representable as 100^101000 110^110 101010^100 101110^0 -> 1001010000110110010101010001011100 = 9946354780 decimal.
This representation is unambiguous because, e.g., the incorrect reading 1001010000110 splits as 100101000 0110 or 100^101000 0^110 -> 2^4 * 1^3, which is clearly wrong.
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CROSSREFS
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Sequence in context: A038290 A002288 A137232 this_sequence A162466 A098664 A083128
Adjacent sequences: A147761 A147762 A147763 this_sequence A147765 A147766 A147767
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KEYWORD
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base,easy,nonn
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AUTHOR
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Reikku Kulon (reikku(AT)gmail.com), Nov 11 2008
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