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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: A117917 A161125 A027295 this_sequence A162978 A071719 A164619

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 November 25 20:09 EST 2009. Contains 167514 sequences.


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