login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A113403 Lesser prime in a prime quadruplet for which the gap before the following quadruplet is a record. 1
5, 11, 101, 821, 1481, 3251, 5651, 9431, 31721, 43781, 97841, 135461, 187631, 326141, 768191, 1440581, 1508621, 3047411, 3798071, 5146481, 5610461, 9020981, 17301041, 22030271 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

EXAMPLE

The smallest prime quadruplet is 5,7,11,13 then 11,13,17,19 so a(0)=5 and a(1)=11; the following quadruplet is 101,103,107,109 so a(2)=101 because 101-11=90>11-5=6; the following quadruplet is 191,193,197,199: since 191-101=90=101-11 nothing happens; the following quadruplet is 821,823,827,829 so a(3)=821 because 821-191=630>101-11=6

CROSSREFS

Record gaps are given in A113404. Cf. A007530, A002386.

Sequence in context: A157967 A088268 A030085 * A022006 A056111 A090160

Adjacent sequences:  A113400 A113401 A113402 * A113404 A113405 A113406

KEYWORD

nonn

AUTHOR

Bernardo Boncompagni (redgolpe(AT)redgolpe.com), Oct 28 2005

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

Content is available under The OEIS End-User License Agreement .

Last modified February 15 21:56 EST 2012. Contains 205860 sequences.