A339429 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

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