What is the 2474th prime number?
The 2474th prime number is 22073. The next prime is 22079 (a gap of 6) and the one before is 22067.
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 2474th one is 22073.
- 2
22073 is prime because no prime up to ā22073 ā 148.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2474th prime is close to 2474 Ć ln(2474) ā 19331, and here it is 22073.
- 4
22073 has no twin: neither 22071 nor 22075 is prime.
Primes around the 2474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2471 | 22051 | 12 |
| 2472 | 22063 | 12 |
| 2473 | 22067 | 4 |
| 2474 | 22073 | 6 |
| 2475 | 22079 | 6 |
| 2476 | 22091 | 12 |
| 2477 | 22093 | 2 |
Questions
What is the 2474th prime number?
22073.
Which prime number is 22073?
22073 is the 2474th prime number.
What is the sum of the first 2474 primes?
25,633,969.