What is the 2602nd prime number?
The 2602nd prime number is 23333. The next prime is 23339 (a gap of 6) and the one before is 23327.
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 2602nd one is 23333.
- 2
23333 is prime because no prime up to ā23333 ā 152.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2602nd prime is close to 2602 Ć ln(2602) ā 20462, and here it is 23333.
- 4
23333 has no twin: neither 23331 nor 23335 is prime.
Primes around the 2602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2599 | 23311 | 14 |
| 2600 | 23321 | 10 |
| 2601 | 23327 | 6 |
| 2602 | 23333 | 6 |
| 2603 | 23339 | 6 |
| 2604 | 23357 | 18 |
| 2605 | 23369 | 12 |
Questions
What is the 2602nd prime number?
23333.
Which prime number is 23333?
23333 is the 2602nd prime number.
What is the sum of the first 2602 primes?
28,541,305.