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Search: id:A002540
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| A002540 |
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Increasing gaps between prime-powers.
(Formerly M1431 N0565)
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+0
5
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| 1, 2, 5, 13, 19, 32, 53, 89, 139, 199, 293, 887, 1129, 1331, 5591, 8467, 9551, 15683, 19609, 31397, 155921, 360653, 370261, 492113, 1349533, 1357201, 2010733, 4652353
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The entry K=a(k) is the start of the smallest chain of m=A121492(k) consecutive numbers such that lcm(1,2,...,K)=lcm(1,2,...,K,K+1)=lcm(1,2,...,K,K+1,K+2)=...=lcm(1,2,...,K,...,K+m-1). See A121493. - Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 03 2006
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REFERENCES
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J. P. Gram, Undersoegelser angaaende maengden af primtal under en given graense, Det Kongelige Danskevidenskabernes Selskabs Skrifter, series 6, vol. 2 (1884), 183-288; see p. 255.
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LINKS
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Index entries for primes, gaps between
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CROSSREFS
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Sequence in context: A073770 A077545 A069943 this_sequence A068374 A068371 A072899
Adjacent sequences: A002537 A002538 A002539 this_sequence A002541 A002542 A002543
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KEYWORD
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nonn,nice,more
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AUTHOR
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njas
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