The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A115631 Triangle read by rows: row n (n>=2) gives a set of n primes such that the pairwise averages are all distinct primes, having the smallest largest element. 3

%I #19 Jun 18 2021 15:08:23

%S 3,7,3,7,19,3,11,23,71,5,29,53,89,173,3,11,83,131,251,383,5,17,41,101,

%T 257,521,881,11,83,251,263,443,1103,1511,2111,257,269,509,857,1697,

%U 2309,2477,2609,5417,11,83,251,263,1511,2351,2963,7583,8663,10691

%N Triangle read by rows: row n (n>=2) gives a set of n primes such that the pairwise averages are all distinct primes, having the smallest largest element.

%C This table is the same as A113832 for rows 2,3,4,6,12 and 13. Note that row 7, {5,17,41,101,257,521,881}, is the same as row 8 of A113832 with 761 deleted.

%C The table on page 6 of Granville is wrong. - _Arkadiusz Wesolowski_, Mar 11 2013

%H Toshitaka Suzuki, <a href="/A115631/b115631.txt">Table of n, a(n) for n = 2..91</a>

%H Andrew Granville, <a href="http://www.dms.umontreal.ca/~andrew/PDF/PrimePatterns.pdf">Prime number patterns</a>

%H Michel Marcus, <a href="/A115631/a115631.txt">Triangle read by rows</a>

%e The set of primes generated by {5, 29, 53, 89, 173} is {17, 29, 41, 47, 59, 71, 89, 101, 113, 131}.

%e Triangle begins:

%e 3, 7;

%e 3, 7, 19;

%e 3, 11, 23, 71;

%e 5, 29, 53, 89, 173;

%e 3, 11, 83, 131, 251, 383;

%e 5, 17, 41, 101, 257, 521, 881;

%e ...

%K nonn,tabf

%O 2,1

%A _T. D. Noe_, Jan 27 2006

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 5 04:27 EDT 2024. Contains 373102 sequences. (Running on oeis4.)