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Search: id:A061400
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| A061400 |
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Primes p such that there is no square-free number between p and the next prime. |
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6
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| 2, 3, 11, 17, 59, 71, 97, 107, 149, 179, 191, 197, 227, 239, 269, 311, 347, 349, 419, 431, 521, 599, 659, 809, 827, 881, 1019, 1031, 1049, 1061, 1091, 1151, 1277, 1319, 1427, 1447, 1451, 1487, 1607, 1619, 1663, 1667, 1787, 1871, 1931, 1949, 1997, 2027, 2087
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes in sequence A112925. - Leroy Quet (qq-quet(AT)mindspring.com), Oct 06 2005
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EXAMPLE
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Between 71 and 73 the only composite is 72=2.2.2.3.3, not square-free. Between 97 and 101, 98, 99, 100 have square divisors.
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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: A:=[seq(a(m), m=1..400)]: b:=proc(k) if isprime(A[k])=true then A[k] else fi end: seq(b(i), i=1..400); Emeric Deutsch (deutsch(AT)duke.poly.edu), Oct 14 2005
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CROSSREFS
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Cf. A005117, A013929.
Cf. A112925, A112926, A112928, A112929, A112930.
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KEYWORD
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nonn,new
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 07 2001
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EXTENSIONS
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Edited by njas, Aug 23 2008 at the suggestion of R. J. Mathar
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