What is the 5371st prime number?
The 5371st prime number is 52583. The next prime is 52609 (a gap of 26) and the one before is 52579.
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 5371st one is 52583.
- 2
52583 is prime because no prime up to ā52583 ā 229.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5371st prime is close to 5371 Ć ln(5371) ā 46130, and here it is 52583.
- 4
52583 has no twin: neither 52581 nor 52585 is prime.
Primes around the 5371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5368 | 52567 | 6 |
| 5369 | 52571 | 4 |
| 5370 | 52579 | 8 |
| 5371 | 52583 | 4 |
| 5372 | 52609 | 26 |
| 5373 | 52627 | 18 |
| 5374 | 52631 | 4 |
Questions
What is the 5371st prime number?
52583.
Which prime number is 52583?
52583 is the 5371st prime number.
What is the sum of the first 5371 primes?
133,222,752.