What is the 2601st prime number?
The 2601st prime number is 23327. The next prime is 23333 (a gap of 6) and the one before is 23321.
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 2601st one is 23327.
- 2
23327 is prime because no prime up to ā23327 ā 152.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2601st prime is close to 2601 Ć ln(2601) ā 20453, and here it is 23327.
- 4
23327 has no twin: neither 23325 nor 23329 is prime.
Primes around the 2601st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2598 | 23297 | 4 |
| 2599 | 23311 | 14 |
| 2600 | 23321 | 10 |
| 2601 | 23327 | 6 |
| 2602 | 23333 | 6 |
| 2603 | 23339 | 6 |
| 2604 | 23357 | 18 |
Questions
What is the 2601st prime number?
23327.
Which prime number is 23327?
23327 is the 2601st prime number.
What is the sum of the first 2601 primes?
28,517,972.