What is the 2510th prime number?
The 2510th prime number is 22441. The next prime is 22447 (a gap of 6) and the one before is 22433.
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 2510th one is 22441.
- 2
22441 is prime because no prime up to ā22441 ā 149.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2510th prime is close to 2510 Ć ln(2510) ā 19648, and here it is 22441.
- 4
22441 has no twin: neither 22439 nor 22443 is prime.
Primes around the 2510th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2507 | 22397 | 6 |
| 2508 | 22409 | 12 |
| 2509 | 22433 | 24 |
| 2510 | 22441 | 8 |
| 2511 | 22447 | 6 |
| 2512 | 22453 | 6 |
| 2513 | 22469 | 16 |
Questions
What is the 2510th prime number?
22441.
Which prime number is 22441?
22441 is the 2510th prime number.
What is the sum of the first 2510 primes?
26,434,905.