All known life requires phosphorus (P) in the form of inorganic phosphate (PO4 3x or Pi) and phosphate-containing organic molecules. Pi serves as the backbone of the nucleic acids that constitute genetic material and as the major repository of chemical energy for metabolism in polyphosphate bonds. Arsenic (As) lies directly below P on the periodic table and so the two elements share many chemic...

Abstract We show that there are infinitely many primes of the form and . This extends work Friedlander Iwaniec showing More precisely, obtained an asymptotic formula for number this form. For sequences , we establish Type II information is too narrow aysmptotic formula, but can use Harman's sieve method to produce a lower bound correct order magnitude Estimating sums reduced counting problem so...