Hitting two birds with one stone has often been applied to real life problem solving. However, historically the coincidental incident of hitting three or more birds with one stone has rarely been observed or maybe until now. The discovery of a sieve of Diophantus allows such a multitasking solution to a simultaneous algorithmic proof of Erdös, Euler, and Goldbach conjectures in the theory of prime numbers. For Erdös it is the difference of two primes giving an even number as a product of another prime and the one and only even prime number 2. For Euler it is his conjecture that any even numbers of 4 or greater can always be expressed as the sum of two primes. For Goldbach it is that any even number greater than 4 is expressible as the sum of three primes. The details of this simultaneous proof await the publication of the same in a recognized mathematical journal.