What is the 2426th prime number?
The 2426th prime number is 21601. The next prime is 21611 (a gap of 10) and the one before is 21599.
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 2426th one is 21601.
- 2
21601 is prime because no prime up to ā21601 ā 146.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2426th prime is close to 2426 Ć ln(2426) ā 18908, and here it is 21601.
- 4
21601 is a twin prime: 21599 and 21601 are both prime.
Primes around the 2426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2423 | 21587 | 10 |
| 2424 | 21589 | 2 |
| 2425 | 21599 | 10 |
| 2426 | 21601 | 2 |
| 2427 | 21611 | 10 |
| 2428 | 21613 | 2 |
| 2429 | 21617 | 4 |
Questions
What is the 2426th prime number?
21601.
Which prime number is 21601?
21601 is the 2426th prime number.
What is the sum of the first 2426 primes?
24,585,175.