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383 (another Prime Pages' Curiosity) |
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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 The sum of the first three three-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 reverse (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]
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