MMMM - Mount Misery Meander Mystery M Ranelagh, Tasmania, Australia
By
Budgietas on 01-Jun-23. Waypoint GA27274
Cache Details
| Difficulty: | |
| Terrain: | |
| Type: | Unknown or Mystery |
| Container: | Regular |
| Coordinates: | S43° 0.100' E147° 0.000' (WGS 84) |
| 55G 500000E 5239000N (UTM) | |
| Elevation: | 186 m |
| Local Government Area: | Huon Valley |
/147,-43.001667,14/400x200?access_token=pk.eyJ1IjoiY2F1Z2h0YXR3b3JrIiwiYSI6ImNqa2l4ZzNzMDE5bjgzdm1sZGpuODF1Mm0ifQ.q8YMzVyzDJJlJHHV8EMjwQ)
Description
Location
This cache has been placed on Browns road on the way up to the Mount Misery walking track. All caches have been placed where there is parking. The road is very narrow in places and one lane only, so drive slow in case vehicles come the other way!
Puzzle
The Meissel–Mertens constant (named after Ernst Meissel and Franz Mertens), also referred to as Mertens constant, Kronecker's constant, Hadamard–de la Vallée-Poussin constant or the prime reciprocal constant, is a mathematical constant in number theory, defined as the limiting difference between the harmonic series summed only over the primes and the natural logarithm of the natural logarithm:
![{displaystyle M=lim _{nrightarrow infty }left(sum _{pleq n}{frac {1}{p}}-ln(ln n)right)=gamma +sum _{p}left[ln !left(1-{frac {1}{p}}right)+{frac {1}{p}}right].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c0284c04584369156c34bad21ea0010f128f8696)
Here γ is the Euler–Mascheroni constant, which has an analogous definition involving a sum over all integers (not just the primes).
(Source Wiki)
The cache can be found at the following location
S42 59. (3143.437 x M)
E147 00. (1066.933 x M)
Hints
Chmmyr : Znguf
Pnpur : Ubyybj va Gerr |
|
Decode |
Logs
After calling into a friends place in Ranelagh to say g'day and have a coffee, Afterwards we made our way up Browns road to locate the last of the MMMM games caches we had not yet found in Tassie.
Found all caches Relatively quickly and headed back to Kingston to do some shopping before heading back north.
Pulled up beside GZ after driving up the track which had the hide right beside the car, signed log and took required photo. TFTC
Thanks for this contribution to the MMMM Game Budgietas. Container and contents were safe and dry.
The required log photo was taken and is included with this log.
Solved for the MMMM, thanks Budgietas.Enjoyed the puzzles on these caches
This trip was double barrelled in nature
First barrel - to find some caches, of which, this was one
It was Sainted at 1140 hours
Second barrel – to check Mum and Dad’s grave flowers
Both barrels went off well
Cheers and thanks
OldSaint
Thanks Budgietas
Cheers and thanks OldSaint
