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!)
A129293 Numbers m such that m^4-1 has no divisors d with 1 < d < m-1. 5

%I #10 Apr 15 2024 03:27:15

%S 3,4,6,150,180,240,270,420,570,1290,1320,2310,2550,2730,3360,3390,

%T 4260,4650,5850,5880,6360,6780,9000,9240,9630,10530,10890,11970,13680,

%U 13830,14010,14550,16230,16650,18060,18120,18540,19140,19380,21600,21840,23370

%N Numbers m such that m^4-1 has no divisors d with 1 < d < m-1.

%C Essentially the same as A070155, since m^4-1=(m-1)(m+1)(1+m^2). - _R. J. Mathar_, Jun 14 2008

%H Amiram Eldar, <a href="/A129293/b129293.txt">Table of n, a(n) for n = 1..10000</a>

%F A129292(a(n)) = #{1, a(n)-1} = 2.

%e {1,5,7,35,37,185,259,1295} is the set of divisors of 6^4-1, therefore 6 is a term, A129292(6) = #{1,3} = 2.

%o (PARI) is(k) = k == 3 || (isprime(k-1) && isprime(k+1) && isprime(k^2+1)); \\ _Amiram Eldar_, Apr 15 2024

%Y Cf. A070155, A129292, A129295, A129297.

%K nonn,changed

%O 1,1

%A _Reinhard Zumkeller_, Apr 09 2007

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 April 23 08:33 EDT 2024. Contains 371905 sequences. (Running on oeis4.)