The book is now available! 353
(another Prime Pages' Curiosity)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ The smallest smoothly undulating palindromic prime of the form 3(53)n. It is also known as a "sawtooth prime" based on its resemblance to the teeth on the blade of a saw. [Sorensen]

+ 3534 = 304 + 1204 + 2724 + 3154. [Norrie]

+ The sum of the first seventeen palindromic numbers, beginning with 0. [De Geest]

+ The smallest prime for which its 4th power can be written as the sum of 4 integers to the 4th power (3534 = 304 + 1204 + 2724 + 3154). [Russo]

+ A multidigit palindromic prime in the decimal expansion of cube root of 44 (a multidigit palindromic number). [Gupta]

+ The smallest multidigit palindromic prime whose digits are all prime. [Gupta]

+ The only odd three-digit prime such that the sum of each of its digits raised to itself is prime, i.e., 3353 + 5353 + 3353 is prime. [Opao]

+ The smallest palindrome that is the sum of 11 consecutive primes (13+17+19+23+29+31+37+41+43+47+53=353). [Schuler]

+ A palindromic prime obtained from the palindromic expression 3^5 + 35 + 3 - 53 + 5^3. Note that the sum of digits in the expression is 35. [Gallardo]

+ The sum of the first five primes that are not Chen primes. Note that 353 is a palindromic Chen prime. [Post]

+ Male ostriches weigh up to 353 pounds. [Snider]

+ The smallest palindromic prime formed from consecutive primes. [Silva]

+ The smallest palindromic prime using a prime number of distinct prime digits. Note the prime sum of digits, the prime digital root, the prime additive persistence as well as the prime multiplicative persistence. [Beedassy]

+ 353 = 2^4 + 3^4 + 4^4. [Silva]

+ The sum of the fourth powers of the digits of 353 is another palindromic prime. [Silva]

+ Start of the first set of 4 prime-index primes in arithmetic progression, i.e., (353 = prime(prime(20)), 431 = prime(prime(23)), 509 = prime(prime(25)), 587 = prime(prime(28)). [Jacobs]

+ The first multidigit palindromic prime to appear in the decimal expansion of e. [Gupta]

+ 353 is the smallest multi-digit palindromic prime that produces two more palindromes when its prime index, 71, is subtracted or added to it. The next such palindromic prime is 73637. Are there any more? [Gaydos]

+ If the decimal digits of the current largest known prime were each one inch wide and arranged side-by-side the number would stretch nearly 353 miles.

+ The smallest palindromic prime formed from odd prime digits. [Silva]

+ The Country Code of Ireland is 353. [Dowdy]

(There are 14 curios for this number that have not yet been approved by an editor.)

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