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Search: id:A166388
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| A166388 |
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Numbers of the form q-p, where p and q are prime and q = p^0+p^1+p^2+..+p^k for some k. |
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1
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| 1, 5, 10, 26, 29, 125, 290, 1090, 1682, 2794, 3482, 5942, 7922, 8189, 10202, 17162, 19526, 27890, 29930, 30928, 85850, 88724, 131069, 146690, 292538, 458330, 491402, 524285, 552050, 579122, 597530, 683930, 703922, 732512, 734450, 797158, 829922
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OFFSET
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1,2
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EXAMPLE
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For p = 2 and k = 1, q = 2^0+2^1 = 1+2 = 3 is prime, hence 3-2 = 1 is in the sequence.
For p = 3 and k = 6, q = 3^0+3^1+3^2+3^3+3^4+3^5+3^6 = 1+3+9+27+81+243+729 = 1093 is prime, hence 1093-3 = 1090 is in the sequence.
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CROSSREFS
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Cf. A000040 (prime numbers).
Sequence in context: A106729 A038252 A083010 this_sequence A066872 A063478 A025486
Adjacent sequences: A166385 A166386 A166387 this_sequence A166389 A166390 A166391
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 13 2009
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 16 2009
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