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Search: id:A058017
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| A058017 |
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Smallest prime >= LCM(1,...,x), where x is a prime power. |
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+0
2
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| 2, 3, 7, 13, 61, 421, 853, 2521, 27733, 360391, 720743, 12252259, 232792561, 5354228921, 26771144401, 80313433231, 2329089562843, 72201776446801, 144403552893641, 5342931457063253, 219060189739591279
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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For the first 100 prime powers, the difference between a(n) and the LCM is either 1 or a prime.
The values of x are taken to be prime powers so that each distinct LCM occurs exactly once.
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EXAMPLE
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The 6th distinct prime power is 8, LCM(1,...,8)=840 and 853
is the first prime that follows, thus a(6)=853.
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CROSSREFS
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Cf. A058018, A000961, A003418, A051451.
Adjacent sequences: A058014 A058015 A058016 this_sequence A058018 A058019 A058020
Sequence in context: A092965 A051454 A051452 this_sequence A049536 A065508 A078154
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 14 2000
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EXTENSIONS
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Edited by Frank Adams-Watters, Aug 15 2006 Franklin T. Adams-Watters
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