A339429 Locations of primes in the Fourier expansion of the j-function: numbers k such that A000521(k) is prime.

457871, 685031, 1029071, 1101431, 9407831, 11769911, 18437999

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