What is the 2536th prime number?
The 2536th prime number is 22699. The next prime is 22709 (a gap of 10) and the one before is 22697.
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 2536th one is 22699.
- 2
22699 is prime because no prime up to ā22699 ā 150.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2536th prime is close to 2536 Ć ln(2536) ā 19878, and here it is 22699.
- 4
22699 is a twin prime: 22697 and 22699 are both prime.
Primes around the 2536th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2533 | 22679 | 10 |
| 2534 | 22691 | 12 |
| 2535 | 22697 | 6 |
| 2536 | 22699 | 2 |
| 2537 | 22709 | 10 |
| 2538 | 22717 | 8 |
| 2539 | 22721 | 4 |
Questions
What is the 2536th prime number?
22699.
Which prime number is 22699?
22699 is the 2536th prime number.
What is the sum of the first 2536 primes?
27,021,983.