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!)
A007659 Primes p such that Ramanujan number tau(p) is divisible by p.
(Formerly M0681)
11
2, 3, 5, 7, 2411, 7758337633 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Primes at which cusp form Delta_12 (see A007332) is not ordinary.
REFERENCES
J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 275.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
F. Q. Gouvea (1997) Non-ordinary primes: a story, Experimental Mathematics 6(3), 195-205.
N. Lygeros and O. Rozier (2010) A new solution for the equation tau(p)=0 (mod p). Journal of Integer Sequences 13, Article 10.7.4.
N. Lygeros. A new solution for the equation tau(p)=0 mod p. Number Theory mailing list (NMBRTHRY).
MATHEMATICA
(* First do *) <<NumberTheory`Ramanujan` (* then *) Select[ Prime[ Range[ 5133]], Mod[ RamanujanTau[ # ], # ] == 0 &] (* Dean Hickerson, Jan 03 2003 *)
Select[Prime[Range[400]], Divisible[RamanujanTau[#], #]&] (* The program generates the first 5 terms of the sequence. *) (* Harvey P. Dale, Jun 06 2022 *)
CROSSREFS
Cf. A000594, A007332. A proper subset of A063938.
Sequence in context: A212667 A252357 A037948 * A288715 A208361 A145380
KEYWORD
hard,nonn,more
AUTHOR
EXTENSIONS
a(6)=7758337633 from N. Lygeros and O. Rozier, Mar 16 2010. - N. J. A. Sloane, Mar 16 2010
Edited by Max Alekseyev, Jul 11 2010
STATUS
approved

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 13 10:24 EDT 2024. Contains 373383 sequences. (Running on oeis4.)