The book is now available! 383
(another Prime Pages' Curiosity)
Prime Curios!
Curios: Curios Search:
 

Participate:
Share
+ The only known multidigit palindromic Woodall prime.

+ Sexy primes are such that n and n + 6 are both prime. The pair (383, 389) for example.

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

+ The sum of the first three 3-digit palindromic primes. [Vouzaxakis]

+ 383 is the smallest p(n) such that the continued fraction expansion of [p(n)+sqrt(p(n+1))]/p(n+2) has a prime number of coefficients in its periodic portion. [Rupinski]

+ The smallest prime which can be represented as sum of a prime and its reversal (241 + 142 = 383). [Gupta]

+ 383 = 6*2^6 - 1. [Noll]

+ The smallest palindromic Pillai prime.

+ Together with 191, this prime forms a palindromic Sophie Germain pair: i.e., 2(191)+1 = 383. Less known is the fact that 383 divides the Mersenne number 2^191-1. [De Geest]

+ 383 = prime(3*8*3) + sigma(3+8+3). Note that 383 is the earliest number (coincidentally prime) with this property. [Firoozbakht]

+ The smallest prime of the form 383*2^n+1 is titanic.

+ The product of the nonzero even digits minus 1. [Silva]

+ An aqueous solution of hydrochloric acid boils at a higher temperature than pure water and reaches a maximum boiling (or azeotropic) point of 383 K. [Beedassy]

+ The sum of three consecutive balanced primes (53 + 157 + 173). [Silva]

+ 383 = 3^5 + 1^4 + 4^1 + 1^9 + 5^3 + 9^1. Note the first six digits of the decimal expansion of pi as bases and exponents. [Silva]

+ The ordered concatenation of all reflectable primes up to 383 is a reflectable prime. Can you find a larger example?

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




Prime Curios! © 2000-2017 (all rights reserved)