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A058017
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Smallest prime >= LCM(1,...,x), where x is a prime power.
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1
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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, 9419588158802421659, 442720643463713815201, 3099044504245996706459
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OFFSET
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1,1
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COMMENTS
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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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LINKS
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EXAMPLE
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The 6th distinct prime power is A000961(7)=8, LCM(1,...,8)=840 and 853 is the first prime that follows, thus a(7)=853.
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PROG
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(PARI) lista(nn) = {for (n=1, nn, if ((n==1) || isprimepower(n), print1(nextprime(lcm(vector(n, x, x)) + 1), ", "))); } \\ Michel Marcus, Apr 09 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Offset changed to 1 and more terms from Michel Marcus, Apr 09 2015
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STATUS
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approved
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