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A058019 Smallest prime >= LCM[1,...,x]+1. +0
1
5, 11, 17, 67, 431, 853, 2531, 27733, 360391, 720743, 12252259, 232792597, 5354228921, 26771144429, 80313433231, 2329089562843, 72201776446853, 144403552893641, 5342931457063253, 219060189739591279 (list; graph; listen)
OFFSET

0,1

COMMENT

Largest arguments of LCMs are taken fom A000961 in order to give distinct LCM-values. Argument 1 is omitted. It was giving an additional start term, 1+(LCM[1]+1)=1+2=3, the first prime after 1+LCM(1).

EXAMPLE

While LCM[1,2,3,4,5]=60 is immediately followed by 61, LCM+1 is followed by 67, as by a first such a prime, therefore a(4)=67 and not 61.

CROSSREFS

A003418, A051451, A000961.

Sequence in context: A095183 A018730 A050836 this_sequence A075582 A059960 A118122

Adjacent sequences: A058016 A058017 A058018 this_sequence A058020 A058021 A058022

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 14 2000

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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