199
(another Prime Pages' Curiosity)
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+ The smallest three-digit prime Lucas number.

+ Adding it to 210n provides the smallest 8, 9, and 10 primes in arithmetic progression.

+ (2199 + 1)/3 is the largest known Wagstaff prime which does not contain all of the individual digits. [Luhn]

+ 199 sets a record low of the Mertens function.

+ A permutable prime, meaning that 919 and 991 are primes as well. [Trotter]

+ The smallest number with an additive persistence of 3. [Gupta]

+ The smallest prime that can be concatenated with the next prime in any order giving two primes: 199211 and 211199. [Gallardo]

+ The Cape May Lighthouse in New Jersey has 199 steps in the tower's cast iron spiral staircase. [McCranie]

+ The smallest emirp that is also an invertible prime. [Punches]

+ In the Goldie Hawn/Chevy Chase movie Foul Play, Ferguson is kidnapped and held at building number 199.

+ The smallest prime that is the sum of the squares of four distinct primes. [Sladcik]

+ The smallest prime showing a repeated composite digit. [Silva]

+ The X-15 aircraft made 199 flights. [McCranie]

+ 199Hg (Mercury-199) is the heaviest stable atom which has a prime atomic weight. [Hartley]

+ The half-life of Au-199 is approximately pi days.

+ 199 is the first prime in an arithmetic progression of ten primes with common difference 210. [Punches]

+ The smallest Lucas emirp. [Loungrides]

+ The sum of the digits of all three-digit palindromic primes. [Silva]

+ 199 (base 10) = 11000111 (base 2) a twin prime. [Wesolowski]

+ (199, 211, 223) is the first triple of primes of the form (p, p+12, p+24). Note that for p < 1000 is the only such triple. Note also that 199211 and 223211 are primes. [Loungrides]

+ In 1941, Molsen proved that for n equal to or greater than 199, the interval n < p less than or equal to (8/7)n always contains a prime of each of the forms 3x+1, 3x-1. [Post]




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