What is the 2604th prime number?
The 2604th prime number is 23357. The next prime is 23369 (a gap of 12) and the one before is 23339.
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 2604th one is 23357.
- 2
23357 is prime because no prime up to ā23357 ā 152.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2604th prime is close to 2604 Ć ln(2604) ā 20480, and here it is 23357.
- 4
23357 has no twin: neither 23355 nor 23359 is prime.
Primes around the 2604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2601 | 23327 | 6 |
| 2602 | 23333 | 6 |
| 2603 | 23339 | 6 |
| 2604 | 23357 | 18 |
| 2605 | 23369 | 12 |
| 2606 | 23371 | 2 |
| 2607 | 23399 | 28 |
Questions
What is the 2604th prime number?
23357.
Which prime number is 23357?
23357 is the 2604th prime number.
What is the sum of the first 2604 primes?
28,588,001.