What is the 5374th prime number?
The 5374th prime number is 52631. The next prime is 52639 (a gap of 8) and the one before is 52627.
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 5374th one is 52631.
- 2
52631 is prime because no prime up to ā52631 ā 229.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5374th prime is close to 5374 Ć ln(5374) ā 46159, and here it is 52631.
- 4
52631 has no twin: neither 52629 nor 52633 is prime.
Primes around the 5374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5371 | 52583 | 4 |
| 5372 | 52609 | 26 |
| 5373 | 52627 | 18 |
| 5374 | 52631 | 4 |
| 5375 | 52639 | 8 |
| 5376 | 52667 | 28 |
| 5377 | 52673 | 6 |
Questions
What is the 5374th prime number?
52631.
Which prime number is 52631?
52631 is the 5374th prime number.
What is the sum of the first 5374 primes?
133,380,619.