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A057333 Numbers of n-digit primes that undulate. +0
2
4, 21, 74, 347, 1743, 8385, 44355, 229952, 1235489 (list; graph; listen)
OFFSET

0,1

COMMENT

'Undulate' means that the alternate digits are consistently greater than or less than the digits adjacent to them (e.g. 70769). Smoothly undulating palindromic primes (e.g. 95959) are a subset and included in the count.

REFERENCES

C. A. Pickover, "Wonders of Numbers", Oxford New York 2001, Chapter 52, pp. 123-124, 316-317.

LINKS

C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Cf. A046075, A033619, A032758, A039944, A016073, A046076, A046077, A057332.

Adjacent sequences: A057330 A057331 A057332 this_sequence A057334 A057335 A057336

Sequence in context: A089893 A095668 A078800 this_sequence A034960 A134424 A017967

KEYWORD

nonn,base,more

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 2000.

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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