The cache is not located at the given coordinates. Solve the puzzle below to determine the actual coordinates of the cache.
At a recent event, it was pointed out that one cacher perhaps prefers number-based puzzles to word-based puzzles. We'll see whether this one fits the former category.
The eight clues for each box are for the four four-digit numbers reading across each row and the four four-digit numbers reading down each column. The clues are not in any order, and as in a crossword puzzle, some of the clues may have multiple answers; so you must find correct matches to solve the grids. For grid orientation purposes, the smaller number should be used for 1-Down versus 1-Across in each grid.
A.
- a Lucas number
- Fibonacci number which is the sum of 37 primes
- only year in which the number of U.S. Presidential electoral votes cast was a prime number for every vote getter
- prime which is a concatenation of two double-digit primes
- second earliest year where one who is born will never have age and calendar year be prime numbers through age 100 (the earliest year is one year earlier)
- smallest number which has in its Spanish name the letter "d" as the 31st letter
- sum of 2 nonzero squares in exactly 3 ways
- sphenic number whose three factors concatenated are a prime
B.
- a decagonal pyramidal number
- Kaprekar number for cubes
- smallest amicable number whose sum of digits is prime
- smallest composite number containing all the prime digits
- smallest number that may be expressed as the difference between the squares of consecutive primes in four different ways
- smallest prime equal to the sum of the squares of two composite integers which are reversals
- sum of the first six 4th powers
- sum of the first 100 integers
C.
- brilliant number which is also the sum of the squares of two consecutive two-digit numbers
- concatenation of prime factors of 6!+1
- in base 10 is equal to the sum of the value in base 5, base 7, and base 8
- largest 4-digit cube which contains only prime digits
- magic constant of a magic 22x22 square
- maximum value of n such that there exist 4 denominations of stamps where every postage from 1 to n can be paid for with at most 17 stamps
- prime number which is the sum of the cubes of first three odd integers starting with a 1
- smallest prime average of two successive perfect powers
D.
- centered tetrahedral number
- divisible by its reverse
- Euler zigzag number
- has a sum of digits equal to its largest prime factor
- mean prime gap up to this Chen number is the first perfect number
- number of digits in the 18th perfect number
- number of integer points (x,y,z) at distance <= 0.5 from sphere of radius 27
- smallest prime formed by reverse concatenation of the squares of three consecutive triangular numbers
You can validate your puzzle solution with
certitude.
Special Notes about the 2023 Puzzle Challenge: To be considered for Fastest Solver points, you must verify your solution with Certitude. Finders will receive Top Finder points when submitting Found It logs to the cache page. All "point" scoring is arbitrary, subject to change, at the discretion of the cache owner, and probably completely meaningless (unless you just want to be announced sooner at the celebration party, which will probably happen in Spring 2024). The real challenge is to see whether I can keep from getting so frustrated by submitting caches that I decide to quit! To maintain fairness, hints should not be offered by the cache owner or other solvers until the fifteenth of the month.
Special Notes about this month's puzzle: None of the four-digit numbers start with a leading zero. This puzzle seems to me like it might be a bit challenging to solve, but then probably somebody will solve it in five minutes using ChatGPT. That's the way it goes sometimes. This puzzle had a number of errors when it was first published. If you have the original solution, Certitude will also give you the correct solution.
First To Solve: LydiaSimmons, NYWanderer, ddlatham, esilverm, toolrep1 (167 minutes)
First To Log: lmt000 (48 hours)
Named pre-hint solvers: 23
Pre-hint finds logged: 2
KPC2023 Solvers Scoreboard
KPC2023 Finders Scoreboard
Previous KPC Puzzle: Xenophobia (KPC2023)
Next KPC Puzzle: Sam Bankman-Fried (KPC2024)