Western atheism has its roots in pre-Socratic Greek philosophy, but atheism in the modern sense was nonexistent or extremely rare in ancient Greece. Pre-Socratic Atomists such as Democritus attempted to explain the world in a purely materialistic way and interpreted religion as a human reaction to natural phenomena, but did not explicitly deny the gods' existence. In the late fifth century BCE, the Greek lyric poet Diagoras of Melos was sentenced to death in Athens under the charge of being a "godless person" (ἄθεος) after he made fun of the Eleusinian Mysteries, but he fled the city to escape punishment. Later writers have cited Diagoras as the "first atheist", but he was probably not an atheist in the modern sense of the word.A fragment from the lost satyr play Sisyphus, which has been attributed to both Critias and Euripides, claims that a clever man invented "the fear of the gods" in order to frighten people into behaving morally. This statement, however, originally did not mean that the gods themselves were nonexistent, but rather that their powers were a hoax. Atheistic statements have also been attributed to the philosopher Prodicus. Philodemus reports that Prodicus believed that "the gods of popular belief do not exist nor do they know, but primitive man, [out of admiration, deified] the fruits of the earth and virtually everything that contributed to his existence". Protagoras has sometimes been taken to be an atheist, but rather espoused agnostic views, commenting that "Concerning the gods I am unable to discover whether they exist or not, or what they are like in form; for there are many hindrances to knowledge, the obscurity of the subject and the brevity of human life."The Athenian public associated Socrates (c. 470–399 BCE) with the trends in pre-Socratic philosophy towards naturalistic inquiry and the rejection of divine explanations for phenomena. Aristophanes' comic play The Clouds (performed 423 BCE) portrays Socrates as teaching his students that the traditional Greek deities do not exist. Socrates was later tried and executed under the charge of not believing in the gods of the state and instead worshipping foreign gods. Socrates himself vehemently denied the charges of atheism at his trial and all the surviving sources about him indicate that he was a very devout man, who prayed to the rising sun and believed that the oracle at Delphi spoke the word of Apollo. Euhemerus (c. 300 BCE) published his view that the gods were only the deified rulers, conquerors and founders of the past, and that their cults and religions were in essence the continuation of vanished kingdoms and earlier political structures. Although not strictly an atheist, Euhemerus was later criticized for having "spread atheism over the whole inhabited earth by obliterating the gods".The most important Greek thinker in the development of atheism was Epicurus (c. 300 BCE). Drawing on the ideas of Democritus and the Atomists, he espoused a materialistic philosophy according to which the universe was governed by the laws of chance without the need for divine intervention (see scientific determinism). Although Epicurus still maintained that the gods existed, he believed that they were uninterested in human affairs. The aim of the Epicureans was to attain ataraxia ("peace of mind") and one important way of doing this was by exposing fear of divine wrath as irrational. The Epicureans also denied the existence of an afterlife and the need to fear divine punishment after death. In the 3rd-century BCE, the Greek philosophers Theodorus Cyrenaicus and Strato of Lampsacus did not believe in the existence of gods. The Roman philosopher Sextus Empiricus held that one should suspend judgment about virtually all beliefs—a form of skepticism known as Pyrrhonism—that nothing was inherently evil, and that ataraxia is attainable by withholding one's judgment. His relatively large volume of surviving works had a lasting influence on later philosophers.The meaning

Question: how did sextus empiricus have a long impact on later philosophers?
Answer: His relatively large volume of surviving works