Friedlander–Iwaniec theorem
Infinite prime numbers of the form a^2+b^4 / From Wikipedia, the free encyclopedia
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In analytic number theory the Friedlander–Iwaniec theorem states that there are infinitely many prime numbers of the form . The first few such primes are
- 2, 5, 17, 37, 41, 97, 101, 137, 181, 197, 241, 257, 277, 281, 337, 401, 457, 577, 617, 641, 661, 677, 757, 769, 821, 857, 881, 977, … (sequence A028916 in the OEIS).
The difficulty in this statement lies in the very sparse nature of this sequence: the number of integers of the form less than is roughly of the order .