What is the 2427th prime number?
The 2427th prime number is 21611. The next prime is 21613 (a gap of 2) and the one before is 21601.
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 2427th one is 21611.
- 2
21611 is prime because no prime up to ā21611 ā 147.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2427th prime is close to 2427 Ć ln(2427) ā 18917, and here it is 21611.
- 4
21611 is a twin prime: 21611 and 21613 are both prime.
Primes around the 2427th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2424 | 21589 | 2 |
| 2425 | 21599 | 10 |
| 2426 | 21601 | 2 |
| 2427 | 21611 | 10 |
| 2428 | 21613 | 2 |
| 2429 | 21617 | 4 |
| 2430 | 21647 | 30 |
Questions
What is the 2427th prime number?
21611.
Which prime number is 21611?
21611 is the 2427th prime number.
What is the sum of the first 2427 primes?
24,606,786.