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A057332 Numbers of (2n+1)-digit palindromic primes that undulate. +0
2
4, 15, 52, 210, 1007 (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. 906343609). Smoothly undulating palindromic primes (e.g. 323232323) 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. K. Caldwell, Prime Curios! 906343609 and Prime Curios! 1007

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, A057333.

Sequence in context: A132894 A117917 A027295 this_sequence A071719 A090326 A006234

Adjacent sequences: A057329 A057330 A057331 this_sequence A057333 A057334 A057335

KEYWORD

nonn,base,more

AUTHOR

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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