cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A071612 a(n) is the smallest prime that is the first of n consecutive primes which are all emirps.

Original entry on oeis.org

13, 13, 71, 733, 1193, 1193, 1193, 1193, 1193, 1193, 1477271183, 9387802769, 15423094826093
Offset: 1

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Author

Klaus Brockhaus, May 27 2002

Keywords

Examples

			1193,1201,1213,1217,1223,1229,1231,1237,1249,1259 are ten consecutive primes which are all emirps and 1193,1201,1213,1217,1223 is the first occurrence of five consecutive primes which are all emirps, so a(5) = a(6) = a(7) = a(8) = a(9) = a(10) = 1193.
		

Crossrefs

Extensions

By studying terms of the sequence A103172 we can deduce that a(11), a(12) are 1477271183 & 9387802769. - Farideh Firoozbakht, Jun 17 2010
a(13) from Giovanni Resta, Apr 23 2021

A071613 a(n) is the smallest prime that is the first of n consecutive primes with equal digit sum.

Original entry on oeis.org

2, 523, 22193, 1442173, 5521819, 354963229, 881160173, 881160173, 441586802467, 3085029222449
Offset: 1

Views

Author

Klaus Brockhaus, May 27 2002

Keywords

Comments

a(11) > 10^14. - Giovanni Resta, Aug 15 2013

Examples

			a(3) = 22193, since 22193,22229,22247 are three consecutive primes with digit sum 17 and this is the first occurrence of three consecutive primes with equal digit sum.
		

Crossrefs

Extensions

a(7)-a(9) from Donovan Johnson, Dec 02 2009
a(10) from Giovanni Resta, Aug 14 2013
Showing 1-2 of 2 results.