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A058017 Smallest prime >= LCM(1,...,x), where x is a prime power. 1
2, 3, 7, 13, 61, 421, 853, 2521, 27733, 360391, 720743, 12252259, 232792561, 5354228921, 26771144401, 80313433231, 2329089562843, 72201776446801, 144403552893641, 5342931457063253, 219060189739591279 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

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.

EXAMPLE

The 6th distinct prime power is 8, LCM(1,...,8)=840 and 853

is the first prime that follows, thus a(6)=853.

CROSSREFS

Cf. A058018, A000961, A003418, A051451.

Sequence in context: A092965 A051454 A051452 * A049536 A065508 A078154

Adjacent sequences:  A058014 A058015 A058016 * A058018 A058019 A058020

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Edited by Frank Adams-Watters, Aug 15 2006 Franklin T. Adams-Watters

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Last modified February 17 11:35 EST 2012. Contains 206011 sequences.