In OEIS, the entry A091490 lists prime numbers p such that p^2 + p + 1 has no prime factor larger than p. The entry has a link to http://arxiv.org/abs/hep-th/0401052, a paper by Simon Davis with the intriguing title, *A Proof of the Odd Perfect Number Conjecture*. I looked at the paper for maybe five minutes, and note two things. He really does claim to have proven the conjecture; the only slightly crankish thing I could see was that he calls numbers of the form 1 + p + p^2 + ... + p^n "repunits"; this invocation of base representation is often a calling-card of the amateur. There is some incoherent discussion of the paper on the talk page of the Wikipedia article "Perfect number", with one editor saying that the argument "falls apart" on the second page. Has anyone in this august company looked at Davis's attempt, and/or communicated with Davis on the subject?