What is the 2428th prime number?
The 2428th prime number is 21613. The next prime is 21617 (a gap of 4) and the one before is 21611.
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 2428th one is 21613.
- 2
21613 is prime because no prime up to ā21613 ā 147.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2428th prime is close to 2428 Ć ln(2428) ā 18926, and here it is 21613.
- 4
21613 is a twin prime: 21611 and 21613 are both prime.
Primes around the 2428th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2425 | 21599 | 10 |
| 2426 | 21601 | 2 |
| 2427 | 21611 | 10 |
| 2428 | 21613 | 2 |
| 2429 | 21617 | 4 |
| 2430 | 21647 | 30 |
| 2431 | 21649 | 2 |
Questions
What is the 2428th prime number?
21613.
Which prime number is 21613?
21613 is the 2428th prime number.
What is the sum of the first 2428 primes?
24,628,399.