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Search: id:A137723
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| A137723 |
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First occurrence of a set of n consecutive numbers having at least one prime gap in their factorization: a(n) = smallest number of this set. |
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+0
3
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| 10, 33, 20, 55, 84, 114, 390, 513, 182, 200, 468, 2941, 774, 65522, 1832, 1261, 1130, 1332, 1638, 524289, 1952, 4298, 4524, 69960, 5120, 16385, 2972, 4832, 5352, 10801, 5592
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A073490(a(n)+k)>0 for 0<=k<n and A073490(a(n)-1)=A073490(a(n)+n)=0.
Continuation after the missing a(14): 1832, 1261, 1130, 1332, 1638, missing, 1952,4298, 4524, missing, 5120, 16385, 2972, 4832, 5352, 10801, 5592, missing, 8468, missing, 9552, missing, 39462, missing, 20810, missing, 38502, missing, 15684, ...
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EXAMPLE
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a(5) = 84: #{84, 85, 86, 87, 88} = 5,
84=[7]*[3*2^2], 84+1=19*5, 84+2=43*2, 84+3=29*3, 84+4=11*2^3.
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CROSSREFS
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Cf. A073492.
Sequence in context: A052210 A084818 A120969 this_sequence A067878 A067877 A063160
Adjacent sequences: A137720 A137721 A137722 this_sequence A137724 A137725 A137726
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KEYWORD
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nonn,more
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 09 2008
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EXTENSIONS
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Discovered a(14) and some more terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 27 2009
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