What is the 5481st prime number?
The 5481st prime number is 53791. The next prime is 53813 (a gap of 22) and the one before is 53783.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5481st one is 53791.
- 2
53791 is prime because no prime up to ā53791 ā 231.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5481st prime is close to 5481 Ć ln(5481) ā 47186, and here it is 53791.
- 4
53791 has no twin: neither 53789 nor 53793 is prime.
Primes around the 5481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5478 | 53773 | 14 |
| 5479 | 53777 | 4 |
| 5480 | 53783 | 6 |
| 5481 | 53791 | 8 |
| 5482 | 53813 | 22 |
| 5483 | 53819 | 6 |
| 5484 | 53831 | 12 |
Questions
What is the 5481st prime number?
53791.
Which prime number is 53791?
53791 is the 5481st prime number.
What is the sum of the first 5481 primes?
139,074,876.