What is the 529th prime number?
The 529th prime number is 3803. The next prime is 3821 (a gap of 18) and the one before is 3797.
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 529th one is 3803.
- 2
3803 is prime because no prime up to ā3803 ā 61.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 529th prime is close to 529 Ć ln(529) ā 3317, and here it is 3803.
- 4
3803 has no twin: neither 3801 nor 3805 is prime.
Primes around the 529th
| Position | Prime | Gap from the previous |
|---|---|---|
| 526 | 3779 | 10 |
| 527 | 3793 | 14 |
| 528 | 3797 | 4 |
| 529 | 3803 | 6 |
| 530 | 3821 | 18 |
| 531 | 3823 | 2 |
| 532 | 3833 | 10 |
Questions
What is the 529th prime number?
3803.
Which prime number is 3803?
3803 is the 529th prime number.
What is the sum of the first 529 primes?
931,686.