Fancy Math bcmath · sieve · monte carlo
Everything on this page is recomputed per request. Change n and watch it move.
Fibonacci(40)
1023341559 digits — well past what a 64-bit integer holds (max 19 digits).
40! (factorial)
81591528324789773434561126959611589427200000000048 digits, computed exactly with arbitrary-precision bcmath.
Primes & statistics sieve to 900
154
primes found ≤ 900
407.8
mean
393.0
median
267.7
std deviation
First 40: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173 …
Monte Carlo π
Threw 200,000 random darts at a unit square; 156,786 landed inside the quarter circle.
π ≈ 3.135720
Actual π = 3.141593 — off by 0.005873.
Collatz orbit of 40
9 steps to reach 1, peaking at 40.
40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1
3×3 Matrix multiply A · B = C
1 2 3 9 8 7 30 24 18 4 5 6 x 6 5 4 = 84 69 54 7 8 10 3 2 1 141 116 91