What is the 523rd prime number?
The 523rd prime number is 3761. The next prime is 3767 (a gap of 6) and the one before is 3739.
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 523rd one is 3761.
- 2
3761 is prime because no prime up to ā3761 ā 61.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 523rd prime is close to 523 Ć ln(523) ā 3274, and here it is 3761.
- 4
3761 has no twin: neither 3759 nor 3763 is prime.
Primes around the 523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 520 | 3727 | 8 |
| 521 | 3733 | 6 |
| 522 | 3739 | 6 |
| 523 | 3761 | 22 |
| 524 | 3767 | 6 |
| 525 | 3769 | 2 |
| 526 | 3779 | 10 |
Questions
What is the 523rd prime number?
3761.
Which prime number is 3761?
3761 is the 523rd prime number.
What is the sum of the first 523 primes?
908,978.