

A339429


Locations of primes in the Fourier expansion of the jfunction: numbers k such that A000521(k) is prime.


1




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 jfunction have any prime coefficients?, MathOverflow, 2020.
F. Johansson, Computing isolated coefficients of the jfunction, 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



