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Search: id:A112925
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| A112925 |
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Largest squarefree integer < the n-th prime. |
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+0
6
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| 1, 2, 3, 6, 10, 11, 15, 17, 22, 26, 30, 35, 39, 42, 46, 51, 58, 59, 66, 70, 71, 78, 82, 87, 95, 97, 102, 106, 107, 111, 123, 130, 134, 138, 146, 149, 155, 161, 166, 170, 178, 179, 190, 191, 195, 197, 210, 222, 226, 227, 231, 238, 239, 249, 255, 262, 267, 269, 274, 278
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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6 is the largest squarefree less than the 4th prime, 7. So a(4) = 6.
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MAPLE
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with(numtheory): a:=proc(n) local p, B, j: p:=ithprime(n): B:={}: for j from 1 to p-1 do if abs(mobius(j))>0 then B:=B union {j} else B:=B fi od: B[nops(B)] end: seq(a(m), m=1..75); (Deutsch)
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CROSSREFS
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Cf. A112926, A061400, A112928, A112929, A112930.
Sequence in context: A048633 A047402 A088196 this_sequence A001635 A106172 A090695
Adjacent sequences: A112922 A112923 A112924 this_sequence A112926 A112927 A112928
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Oct 06 2005
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 14 2005
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