# 461

This number is a prime. Eric Clapton's most famous solo album was called 461 Ocean Boulevard. This was his comeback record after a long bout with heroin addiction. [Tignor] The largest number for which ((10^2n)+1)/101 is known to be a prime number. The prime race 4n - 1 versus 4n + 1 is tied at 461. There are no ties in the 4-digit range. [Wilson] π(461) is the (4 * 6 * 1)th prime. [Firoozbakht] The Knoxville Convention Center contains a 461-seat lecture hall. The smallest prime formed from the concatenation of n and the reversal of n^2. [Silva] The largest 3-digit prime p such that 2p-p2 is prime. [Loungrides] The largest prime whose square (212521) shows up on a digital clock in hours, minutes and seconds. [Beedassy] In Gore Verbinsky's cult movie "The Ring," Rachel Keller's licence number is IWR 461. [Olry] The smallest prime number of verses in a Rhapsody of Homer’s Iliad, i.e., (3rd Rhapsody). The 461st verse, i.e., (the last verse of 3rd Rhapsody) is: «Ὣς ἔφατ᾽ Ἀτρεΐδης, ἐπὶ δ᾽ ᾔνεον ἄλλοι Ἀχαιοί.» [Loungrides] The smallest prime that can be represented from the sum of two successive numbers that are both sphenic numbers, i.e., 230+231. [Loungrides] The smallest prime number that has the same sum of digits and the same product of digits as a smaller prime with which it has no digits in common (83). [Gaydos] 461 is the only known prime such that the average number of distinct prime factors for positive integers up to itself is an integer. [Honaker] 461 = 333 + 2^7. Note that 3×3×3 = 27. [Leonardis]

(There are 2 curios for this number that have not yet been approved by an editor.)