Vô, Pseudonym: The a4b4 Conjecture - Vô Conjecture 5, Series 2 (VC5S2)

We present a novel conjecture concerning sums of fourth powers and primes, named the a4b4 Conjecture. The conjecture asserts that for every integer a>1, there exists a natural number b such that a^4+b^4 is prime, b is bounded by a logarithmic function of a, and parity conditions are satisfied. This paper formulates the conjecture, discusses its plausibility, and outlines initial computational approaches.