What is the 2600th prime number?
The 2600th prime number is 23321. The next prime is 23327 (a gap of 6) and the one before is 23311.
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 2600th one is 23321.
- 2
23321 is prime because no prime up to ā23321 ā 152.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2600th prime is close to 2600 Ć ln(2600) ā 20444, and here it is 23321.
- 4
23321 has no twin: neither 23319 nor 23323 is prime.
Primes around the 2600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2597 | 23293 | 2 |
| 2598 | 23297 | 4 |
| 2599 | 23311 | 14 |
| 2600 | 23321 | 10 |
| 2601 | 23327 | 6 |
| 2602 | 23333 | 6 |
| 2603 | 23339 | 6 |
Questions
What is the 2600th prime number?
23321.
Which prime number is 23321?
23321 is the 2600th prime number.
What is the sum of the first 2600 primes?
28,494,645.