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Search: id:A066496
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| A066496 |
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a(n) = least solution k of f(k) = f(k-1) + ... + f(k-n), where f(m) = p(n+1)-p(n) and p(n) denotes the n-th prime, if k exists; 0 otherwise. |
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+0
1
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OFFSET
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1,1
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COMMENT
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It seems that a(6) = 0; there is no solution < 10^7 to its corresponding equation.
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EXAMPLE
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3 is the smallest solution of f(k) = f(k-1); so a(1) = 3. 4 is the smallest solution of f(k) = f(k-1)+f(k-2); so a(2) = 4. 114 is the smallest solution of f(k) = f(k-1)+f(k-2)+f(k-3); so a(3) = 114.
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MATHEMATICA
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(for a(5)) Min[Select[Range[6, 10^4], f[ # ] == f[ # - 1] + f[ # - 2] + f[ # - 3] + f[ # - 4] + f[ # - 5] &]]
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CROSSREFS
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Adjacent sequences: A066493 A066494 A066495 this_sequence A066497 A066498 A066499
Sequence in context: A041253 A126578 A041351 this_sequence A041465 A004124 A077032
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KEYWORD
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more,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 03 2002
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