القلم
Surah 68 - Al-Qalam
The Pen
β¨ Special Mathematical Properties
46.2% Fibonacci verses
π General Statistics
Surah Number
68
Total Verses
52
Total Words
312
wordsAverage
6.00
Words/Verseπ Fibonacci Pattern Analysis
Fibonacci Verses
24/52
46.2%
Fibonacci Positions
8
Found
Golden Ratio
1.619048
Ο β 1.618034
Verses at Fibonacci Positions:
| Position | Fibonacci | Verse Number | Properties |
|---|---|---|---|
| F1 | 1 | Verse 1 | Palindrome |
| F3 | 2 | Verse 2 | Fibonacci length, Prime length, Palindrome |
| F4 | 3 | Verse 3 | Fibonacci length, Prime length, Palindrome |
| F5 | 5 | Verse 5 | Fibonacci length, Prime length, Palindrome |
| F6 | 8 | Verse 8 | Fibonacci length, Prime length, Palindrome |
| F7 | 13 | Verse 13 | - |
| F8 | 21 | Verse 21 | Fibonacci length, Prime length |
| F9 | 34 | Verse 34 | - |
π’ Prime Number Analysis
Verses at Prime Positions:
15 verses (28.8%)
23571113171923293137414347
Verses with Prime Length:
31 verses (59.6%)
Verses whose word count is a prime numberπͺ Palindromic Verse Positions
13 verses at palindromic positions (25.0%)
12345678911223344
π Verse Length Distribution
Most Common Lengths:
| Word Count | verses | Special |
|---|---|---|
| 5 words | 11 verses | Fibonacciprime |
| 4 words | 7 verses | |
| 3 words | 6 verses | Fibonacciprime |
| 2 words | 5 verses | Fibonacciprime |
| 7 words | 5 verses | prime |
| 6 words | 5 verses | |
| 10 words | 4 verses | |
| 11 words | 3 verses | prime |
| 9 words | 2 verses | |
| 12 words | 2 verses |
Length Statistics:
- Shortest Verse: 2 words
- Longest Verse: 13 words
- Median Length: 5 words