What is the 2535th prime number?
The 2535th prime number is 22697. The next prime is 22699 (a gap of 2) and the one before is 22691.
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 2535th one is 22697.
- 2
22697 is prime because no prime up to ā22697 ā 150.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2535th prime is close to 2535 Ć ln(2535) ā 19869, and here it is 22697.
- 4
22697 is a twin prime: 22697 and 22699 are both prime.
Primes around the 2535th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2532 | 22669 | 18 |
| 2533 | 22679 | 10 |
| 2534 | 22691 | 12 |
| 2535 | 22697 | 6 |
| 2536 | 22699 | 2 |
| 2537 | 22709 | 10 |
| 2538 | 22717 | 8 |
Questions
What is the 2535th prime number?
22697.
Which prime number is 22697?
22697 is the 2535th prime number.
What is the sum of the first 2535 primes?
26,999,284.