 383 (another Prime Pages' Curiosity) Curios: Curios Search:   Participate:  GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits) 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 . [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 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? The smallest palindromic curved-digit-prime. [Bajpai] The largest prime in the binary sequence 101, 1011, 10111..., 101111111. The only one which is not prime is, ironically, the 7 digit 1011111 with 5 consecutive ones. [Homewood] 1966322 has a Collatz trajectory length of 383 and its largest prime factor is 383. Are there any larger examples of this property? [Gaydos] A prime formed by subtracting the number of digits of Mersenne Prime M22, i.e. 2,993 from the number of digits of its immediate successor M23, i.e. 3,376 [Harrison] (There are 3 curios for this number that have not yet been approved by an editor.) Prime Curios! © 2000-2019 (all rights reserved)  privacy statement   (This page was generated in 0.0527 seconds.)