What is the 2735th prime number?
The 2735th prime number is 24697. The next prime is 24709 (a gap of 12) and the one before is 24691.
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 2735th one is 24697.
- 2
24697 is prime because no prime up to ā24697 ā 157.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2735th prime is close to 2735 Ć ln(2735) ā 21644, and here it is 24697.
- 4
24697 has no twin: neither 24695 nor 24699 is prime.
Primes around the 2735th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2732 | 24677 | 6 |
| 2733 | 24683 | 6 |
| 2734 | 24691 | 8 |
| 2735 | 24697 | 6 |
| 2736 | 24709 | 12 |
| 2737 | 24733 | 24 |
| 2738 | 24749 | 16 |
Questions
What is the 2735th prime number?
24697.
Which prime number is 24697?
24697 is the 2735th prime number.
What is the sum of the first 2735 primes?
31,734,384.