A034276 Smallest prime that generates a prime pyramid of height n.

11, 29, 2, 5, 41, 251, 43, 145577, 51941, 4372877, 26901631, 366636187, 15387286403, 218761753811, 3313980408469

Offset: 1

Author

Felice Russo, Jan 25 2000

Keywords

• nonn
• nice
• base
• more

Comments

Let p be prime; look for the smallest prime in {1|p|1, 3|p|3, 7|p|7, 9|p|9}, where '|' stands for concatenation; 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

Examples

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

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.

Crossrefs

Cf. A047076, A053600, A052205, A256957, A052091, A052092.

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

a(14)-a(15) from Giovanni Resta, May 15 2020