login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A108975 Product of all primes with primitive root 2 less than or equal to some prime with primitive root 2. 1

%I

%S 3,15,165,2145,40755,1181895,43730115,2317696095,136744069605,

%T 8341388245905,558873012475635,46386460035477705,4685032463583248205,

%U 501298473603407557935,65670100042046390089485

%N Product of all primes with primitive root 2 less than or equal to some prime with primitive root 2.

%C The poster by Arnold and Monagan reports that the cyclotomic polynomial of order a(6) is the first cyclotomic polynomial whose height is greater than its order. They also report the height of the cyclotomic polynomial Phi(a(7),x) is greater than the order squared. It is also true that k=a(5) is the least order such that the height of Phi(k,x) is greater than the square root of the order. - _T. D. Noe_, Apr 22 2008

%C Partial products of A001122. - _Charles R Greathouse IV_, Jun 21 2013

%H Andrew Arnold and Michael Monagan, <a href="http://www.cecm.sfu.ca/research/posters/arnold07.pdf">The Height of the 3,234,846,615th Cyclotomic Polynomial is Big (2,888,582,082,500,892,851)</a>

%e 3 is the first prime with primitive root 2, so the first term is 3. 5 is the next prime with primitive root 2, so the next term is 3*5=15. 11 is the next prime with primitive root 2, so the next term is 3*5*11=165.

%Y Cf. A001122.

%K nonn

%O 1,1

%A Douglas Stones (dssto1(AT)student.monash.edu.au), Jul 27 2005

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 31 13:25 EDT 2021. Contains 346373 sequences. (Running on oeis4.)