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A034276 Smallest prime that generates a prime pyramid of height n. 3
11, 29, 2, 5, 41, 251, 43, 145577, 51941, 4372877, 26901631, 366636187 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Let p be prime; look for smallest prime that has previous term as a centered substring and has 2 more digits; repeat until no such prime can be found; then height(p) = number of rows in pyramid.

a(13) > 10^10. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Aug 13 2010]

LINKS

H. Heinz, Patterns in Primes, Illustrating Two Prime Pyramids

EXAMPLE

Example for p=43: 43 3433 334333 93343339 3933433393 939334333939 39393343339393, stop; height(43)=7.

CROSSREFS

Cf. A047076, A053600, A052205, A046210, A052091, A052092.

Sequence in context: A140677 A018944 A061086 * A196357 A196360 A072711

Adjacent sequences:  A034273 A034274 A034275 * A034277 A034278 A034279

KEYWORD

nonn,nice,base

AUTHOR

Felice Russo (frusso(AT)micron.com), Jan 25 2000

EXTENSIONS

More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Jul 14 2001

a(11)-a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Aug 13 2010

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Last modified February 12 21:29 EST 2012. Contains 205433 sequences.