What is the 5373rd prime number?
The 5373rd prime number is 52627. The next prime is 52631 (a gap of 4) and the one before is 52609.
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 5373rd one is 52627.
- 2
52627 is prime because no prime up to ā52627 ā 229.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5373rd prime is close to 5373 Ć ln(5373) ā 46149, and here it is 52627.
- 4
52627 has no twin: neither 52625 nor 52629 is prime.
Primes around the 5373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5370 | 52579 | 8 |
| 5371 | 52583 | 4 |
| 5372 | 52609 | 26 |
| 5373 | 52627 | 18 |
| 5374 | 52631 | 4 |
| 5375 | 52639 | 8 |
| 5376 | 52667 | 28 |
Questions
What is the 5373rd prime number?
52627.
Which prime number is 52627?
52627 is the 5373rd prime number.
What is the sum of the first 5373 primes?
133,327,988.