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Search: id:A137723
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A137723 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. +0
3
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)
OFFSET

1,1

COMMENT

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, ...

EXAMPLE

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.

CROSSREFS

Cf. A073492.

Sequence in context: A052210 A084818 A120969 this_sequence A067878 A067877 A063160

Adjacent sequences: A137720 A137721 A137722 this_sequence A137724 A137725 A137726

KEYWORD

nonn,more

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 09 2008

EXTENSIONS

Discovered a(14) and some more terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 27 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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