The polynomial $X^2+Y^4$ captures its primes.

Friedlander, John, and Iwaniec, Henryk. "The polynomial captures its primes.." Annals of Mathematics. Second Series 148.3 (1998): 945-1040. <http://eudml.org/doc/120009>.

@article{Friedlander1998,
author = {Friedlander, John, Iwaniec, Henryk},
journal = {Annals of Mathematics. Second Series},
keywords = {prime representing polynomials; parity; bilinear form hypothesis; asymptotic formula; asymptotic sieve form primes; harmonic analysis; lattice point problem; quartic region; grössencharacters; Siegel's theorem; equidistribution; Jacobi symbols},
language = {eng},
number = {3},
pages = {945-1040},
publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley},
title = {The polynomial captures its primes.},
url = {http://eudml.org/doc/120009},
volume = {148},
year = {1998},
}

TY - JOUR
AU - Friedlander, John
AU - Iwaniec, Henryk
TI - The polynomial captures its primes.
JO - Annals of Mathematics. Second Series
PY - 1998
PB - Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley
VL - 148
IS - 3
SP - 945
EP - 1040
LA - eng
KW - prime representing polynomials; parity; bilinear form hypothesis; asymptotic formula; asymptotic sieve form primes; harmonic analysis; lattice point problem; quartic region; grössencharacters; Siegel's theorem; equidistribution; Jacobi symbols
UR - http://eudml.org/doc/120009
ER -