What is the 2481st prime number?
The 2481st prime number is 22129. The next prime is 22133 (a gap of 4) and the one before is 22123.
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 2481st one is 22129.
- 2
22129 is prime because no prime up to ā22129 ā 148.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2481st prime is close to 2481 Ć ln(2481) ā 19393, and here it is 22129.
- 4
22129 has no twin: neither 22127 nor 22131 is prime.
Primes around the 2481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2478 | 22109 | 16 |
| 2479 | 22111 | 2 |
| 2480 | 22123 | 12 |
| 2481 | 22129 | 6 |
| 2482 | 22133 | 4 |
| 2483 | 22147 | 14 |
| 2484 | 22153 | 6 |
Questions
What is the 2481st prime number?
22129.
Which prime number is 22129?
22129 is the 2481st prime number.
What is the sum of the first 2481 primes?
25,788,704.