# 761

This number is a prime. A sequence of six 9's (known as the Feynman Point) begins immediately after the 761st decimal place of π. Nobel prize-winning physicist Richard Feynman expressed a wish to memorize the digits of π as far as that point so that when reciting them, he would be able to end with "... nine, nine, nine, nine, nine, nine, and so on." 761 = prime(761) - (7!2 * 6!2 * 1!2). Note that 761 is the smallest prime with this property. [Firoozbakht] 761 = (π(7!) + π(6!) + π(1!)) - (π(7!2) + π(6!2) + π(1!2))). Note that prime 761 is the only number with this property. [Firoozbakht] The sum of all the prime numbers up to seventy-nine. The emirp number of lines in Homer's Ro Rhapsody of Iliad. [Loungrides] The number of possible games in Go is a one followed by 761 zeros (OMNI, June 1991). [Beavers] The smallest emirp that can be represented as the sum of products of first n pairs of consecutive positive even numbers plus 1, (case n = 5), i.e., 2*4+6*8+10*12+14*16+18*20+1 = 761. [Loungrides]

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