What is the 5376th prime number?
The 5376th prime number is 52667. The next prime is 52673 (a gap of 6) and the one before is 52639.
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 5376th one is 52667.
- 2
52667 is prime because no prime up to ā52667 ā 229.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5376th prime is close to 5376 Ć ln(5376) ā 46178, and here it is 52667.
- 4
52667 has no twin: neither 52665 nor 52669 is prime.
Primes around the 5376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5373 | 52627 | 18 |
| 5374 | 52631 | 4 |
| 5375 | 52639 | 8 |
| 5376 | 52667 | 28 |
| 5377 | 52673 | 6 |
| 5378 | 52691 | 18 |
| 5379 | 52697 | 6 |
Questions
What is the 5376th prime number?
52667.
Which prime number is 52667?
52667 is the 5376th prime number.
What is the sum of the first 5376 primes?
133,485,925.