What is the 5375th prime number?
The 5375th prime number is 52639. The next prime is 52667 (a gap of 28) and the one before is 52631.
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 5375th one is 52639.
- 2
52639 is prime because no prime up to ā52639 ā 229.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5375th prime is close to 5375 Ć ln(5375) ā 46169, and here it is 52639.
- 4
52639 has no twin: neither 52637 nor 52641 is prime.
Primes around the 5375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5372 | 52609 | 26 |
| 5373 | 52627 | 18 |
| 5374 | 52631 | 4 |
| 5375 | 52639 | 8 |
| 5376 | 52667 | 28 |
| 5377 | 52673 | 6 |
| 5378 | 52691 | 18 |
Questions
What is the 5375th prime number?
52639.
Which prime number is 52639?
52639 is the 5375th prime number.
What is the sum of the first 5375 primes?
133,433,258.