What is the 2551st prime number?
The 2551st prime number is 22853. The next prime is 22859 (a gap of 6) and the one before is 22817.
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 2551st one is 22853.
- 2
22853 is prime because no prime up to ā22853 ā 151.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2551st prime is close to 2551 Ć ln(2551) ā 20011, and here it is 22853.
- 4
22853 has no twin: neither 22851 nor 22855 is prime.
Primes around the 2551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2548 | 22807 | 20 |
| 2549 | 22811 | 4 |
| 2550 | 22817 | 6 |
| 2551 | 22853 | 36 |
| 2552 | 22859 | 6 |
| 2553 | 22861 | 2 |
| 2554 | 22871 | 10 |
Questions
What is the 2551st prime number?
22853.
Which prime number is 22853?
22853 is the 2551st prime number.
What is the sum of the first 2551 primes?
27,363,492.