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The only threedigit iccanobiF prime. The largest threedigit unholey prime. Replacing each digit of prime 773 with its square respectively its cube results in two new primes 49499 and 34334327. Note that this latter number is also an emirp (72343343). [De Geest] The number 3 followed by 773 7's is prime. [De Geest] The smallest prime such that adding a preceding or trailing digit will always result in a composite if we omit the case where the leading digit is zero. [Noll] This prime is the sum of the number of 3dimensional faces in one each of the 6 regular 4dimensional polytopes: 5 + 8 + 16 + 24 + 120 + 600 = 773. (Equivalently, this prime is the sum of the number of vertices, i.e., 0dimensional faces, in one each of the 6 regular 4dimensional polytopes.) [Post] In binary 11011 + 2, 110011 + 2, 1100011 + 2, 11000011 + 2, 110000011 + 2 and 1100000011 + 2 are all prime, this one being the largest. Note that all the primes are full reptend primes in binary. [Homewood]
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