What is the 5372nd prime number?
The 5372nd prime number is 52609. The next prime is 52627 (a gap of 18) and the one before is 52583.
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 5372nd one is 52609.
- 2
52609 is prime because no prime up to ā52609 ā 229.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5372nd prime is close to 5372 Ć ln(5372) ā 46140, and here it is 52609.
- 4
52609 has no twin: neither 52607 nor 52611 is prime.
Primes around the 5372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5369 | 52571 | 4 |
| 5370 | 52579 | 8 |
| 5371 | 52583 | 4 |
| 5372 | 52609 | 26 |
| 5373 | 52627 | 18 |
| 5374 | 52631 | 4 |
| 5375 | 52639 | 8 |
Questions
What is the 5372nd prime number?
52609.
Which prime number is 52609?
52609 is the 5372nd prime number.
What is the sum of the first 5372 primes?
133,275,361.