What is the 2435th prime number?
The 2435th prime number is 21701. The next prime is 21713 (a gap of 12) and the one before is 21683.
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 2435th one is 21701.
- 2
21701 is prime because no prime up to ā21701 ā 147.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2435th prime is close to 2435 Ć ln(2435) ā 18987, and here it is 21701.
- 4
21701 has no twin: neither 21699 nor 21703 is prime.
Primes around the 2435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2432 | 21661 | 12 |
| 2433 | 21673 | 12 |
| 2434 | 21683 | 10 |
| 2435 | 21701 | 18 |
| 2436 | 21713 | 12 |
| 2437 | 21727 | 14 |
| 2438 | 21737 | 10 |
Questions
What is the 2435th prime number?
21701.
Which prime number is 21701?
21701 is the 2435th prime number.
What is the sum of the first 2435 primes?
24,780,030.