This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A034276 Smallest prime that generates a prime pyramid of height n. 3
 11, 29, 2, 5, 41, 251, 43, 145577, 51941, 4372877, 26901631, 366636187, 15387286403 (list; graph; refs; listen; history; text; 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. [Donovan Johnson, Aug 13 2010] LINKS H. Heinz, Patterns in Primes, Illustrating Two Prime Pyramids Chai Wah Wu, On a conjecture regarding primality of numbers constructed from prepending and appending identical digits, arXiv:1503.08883 [math.NT], 2015. EXAMPLE Example for p=43: 43 3433 334333 93343339 3933433393 939334333939 39393343339393, stop; height(43)=7. CROSSREFS Cf. A047076, A053600, A052205, A256957, A052091, A052092. Sequence in context: A061086 A201633 A274130 * A245169 A196357 A196360 Adjacent sequences:  A034273 A034274 A034275 * A034277 A034278 A034279 KEYWORD nonn,nice,base,more AUTHOR Felice Russo, Jan 25 2000 EXTENSIONS More terms from Naohiro Nomoto, Jul 14 2001 a(11)-a(12) from Donovan Johnson, Aug 13 2010 a(13) from Chai Wah Wu, Apr 10 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.