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!)
A339429 Locations of primes in the Fourier expansion of the j-function: numbers k such that A000521(k) is prime. 1
457871, 685031, 1029071, 1101431, 9407831, 11769911, 18437999 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms up to 2*10^7 are listed. It is unknown if the sequence is infinite.

Jeremy Rouse reports having certified the primality of the first entry using ECPP. The remaining primes pass a BPSW test.

The corresponding prime numbers A000521(a(n)) have 3689, 4513, 5532, 5723, 16734, 18718, 23429 digits.

LINKS

Table of n, a(n) for n=1..7.

D. Feldman, Does the Fourier expansion of the j-function have any prime coefficients?, MathOverflow, 2020.

F. Johansson, Computing isolated coefficients of the j-function, arXiv:2011.14671 [math.NT], 2020.

F. Johansson, Data files and source code for computations.

EXAMPLE

c_457871 is the first prime in the sequence c_n = A000521(n).

CROSSREFS

Cf. A000521.

Sequence in context: A205024 A207299 A233926 * A210402 A274811 A202600

Adjacent sequences:  A339426 A339427 A339428 * A339430 A339431 A339432

KEYWORD

nonn,more

AUTHOR

Fredrik Johansson, Dec 04 2020

STATUS

approved

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 24 23:25 EDT 2021. Contains 346273 sequences. (Running on oeis4.)