What is the 2429th prime number?
The 2429th prime number is 21617. The next prime is 21647 (a gap of 30) and the one before is 21613.
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 2429th one is 21617.
- 2
21617 is prime because no prime up to ā21617 ā 147.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2429th prime is close to 2429 Ć ln(2429) ā 18935, and here it is 21617.
- 4
21617 has no twin: neither 21615 nor 21619 is prime.
Primes around the 2429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2426 | 21601 | 2 |
| 2427 | 21611 | 10 |
| 2428 | 21613 | 2 |
| 2429 | 21617 | 4 |
| 2430 | 21647 | 30 |
| 2431 | 21649 | 2 |
| 2432 | 21661 | 12 |
Questions
What is the 2429th prime number?
21617.
Which prime number is 21617?
21617 is the 2429th prime number.
What is the sum of the first 2429 primes?
24,650,016.