What is the 527th prime number?
The 527th prime number is 3793. The next prime is 3797 (a gap of 4) and the one before is 3779.
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 527th one is 3793.
- 2
3793 is prime because no prime up to ā3793 ā 61.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 527th prime is close to 527 Ć ln(527) ā 3303, and here it is 3793.
- 4
3793 has no twin: neither 3791 nor 3795 is prime.
Primes around the 527th
| Position | Prime | Gap from the previous |
|---|---|---|
| 524 | 3767 | 6 |
| 525 | 3769 | 2 |
| 526 | 3779 | 10 |
| 527 | 3793 | 14 |
| 528 | 3797 | 4 |
| 529 | 3803 | 6 |
| 530 | 3821 | 18 |
Questions
What is the 527th prime number?
3793.
Which prime number is 3793?
3793 is the 527th prime number.
What is the sum of the first 527 primes?
924,086.