What is the 535th prime number?
The 535th prime number is 3853. The next prime is 3863 (a gap of 10) and the one before is 3851.
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 535th one is 3853.
- 2
3853 is prime because no prime up to ā3853 ā 62.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 535th prime is close to 535 Ć ln(535) ā 3361, and here it is 3853.
- 4
3853 is a twin prime: 3851 and 3853 are both prime.
Primes around the 535th
| Position | Prime | Gap from the previous |
|---|---|---|
| 532 | 3833 | 10 |
| 533 | 3847 | 14 |
| 534 | 3851 | 4 |
| 535 | 3853 | 2 |
| 536 | 3863 | 10 |
| 537 | 3877 | 14 |
| 538 | 3881 | 4 |
Questions
What is the 535th prime number?
3853.
Which prime number is 3853?
3853 is the 535th prime number.
What is the sum of the first 535 primes?
954,714.