The book is now available! 739
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The first Human Genome Project online download contained a 739 megabyte file.

+ The smallest prime number that is the sum of distinct primes beginning and ending with the digit three (739 = 3 + 353 + 383). [Capelle]

+ The smallest prime (emirp) that can be expressed as a sum of powers with the four prime digits as bases and exponents, i.e., (2^7+3^5+5^2+7^3). [Loungrides]

+ The smallest emirp that has a maximum product of digits for a prime sum of digits. [Loungrides]

+ The start of five consecutive emirps in the sequence of Ulam primes, i.e., 739, 751, 983, 991, 1103. [Loungrides]

+ The smallest prime number that has both no digits in common with its square and the same sum of digits as its square. [Gaydos]

+ 7^39 is a 33-digit number without a 7 in it. Can you find a larger power of 7 without the digit 7 in it? [Loungrides]

+ 739 is the largest prime used in Jean Brette's 31-digit approximation for pi: ln[(2^5*5#*23*29)^3+739+5]/sqrt(163) = 3.141592653589793238462643383279... . [Rivera]

+ 739 is at the end of a conveyor belt on the cover of "The Prime Number Conspiracy: Biggest Ideas in Math from Quanta."

(There are 3 curios for this number that have not yet been approved by an editor.)

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