# 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 4*n* - 1 versus 4*n* + 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 2^{p}-p^{2} 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]

461 plus its reversal equals a perfect square number, i.e., 461 + 164 = 25^2. [Lewicki]