This site is supported by donations to The OEIS Foundation.



Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A034922 Numbers n such that 17^n-16 is prime. 1
11, 21, 127, 149, 469, 2019 (list; graph; refs; listen; history; text; internal format)



Related to hyperperfect numbers of a certain form.

From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 27 2009: (Start)

Minoli defined the sequences and concepts that follow in the 1980 IEEE paper below:

- For t=2 to infinity, the sequence m(n,t) = n exp(t) - (n-1) is called a Mersenne Sequence Rooted on n

- If n is prime, this sequence is called a Legitimate Mersenne Sequence

- Any j belonging to the sequence m(n,t) is called a Generalized Mersenne Number (n-GMN)

- If j belonging to the sequence m(n,t) is prime, it is then called a n-Generalized Mersenne Prime (n-GMP).

Note: m(n,t) = n*m(n,t-1) + n exp(2) - 2*n+1.

These numbers play a role in the context of hyperperfect numbers.


The next terms are > 4000. - Vincenzo Librandi, Sep 27 2012


Daniel Minoli, Voice over MPLS, McGraw-Hill, New York, NY, 2002, ISBN 0-07-140615-8 (p.114-134) [From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 27 2009]


Table of n, a(n) for n=1..6.

J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3.

Daniel Minoli and Robert Bear, Hyperperfect Numbers, Pi Mu Epsilon Journal, Fall 1975, pp. 153-157. [From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 27 2009]

Daniel Minoli, W. Nakamine, Mersenne Numbers Rooted On 3 For Number Theoretic Transforms, 1980 IEEE International Conf. on Acoust., Speech and Signal Processing. [From Daniel Minoli (daniel.minoli(AT)ses.com), Aug 27 2009]


Select[Range[3000], PrimeQ[17^# - 16] &] (* Vincenzo Librandi, Sep 27 2012 *)


(PARI) isok(n) = isprime(17^n-16); \\ Michel Marcus, Mar 11 2016


Sequence in context: A116525 A094623 A321509 * A015446 A254208 A083177

Adjacent sequences:  A034919 A034920 A034921 * A034923 A034924 A034925




Jud McCranie


a(6) from Vincenzo Librandi, Sep 27 2012



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 January 20 12:50 EST 2019. Contains 319330 sequences. (Running on oeis4.)