What is the 5378th prime number?
The 5378th prime number is 52691. The next prime is 52697 (a gap of 6) and the one before is 52673.
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 5378th one is 52691.
- 2
52691 is prime because no prime up to ā52691 ā 229.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5378th prime is close to 5378 Ć ln(5378) ā 46197, and here it is 52691.
- 4
52691 has no twin: neither 52689 nor 52693 is prime.
Primes around the 5378th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5375 | 52639 | 8 |
| 5376 | 52667 | 28 |
| 5377 | 52673 | 6 |
| 5378 | 52691 | 18 |
| 5379 | 52697 | 6 |
| 5380 | 52709 | 12 |
| 5381 | 52711 | 2 |
Questions
What is the 5378th prime number?
52691.
Which prime number is 52691?
52691 is the 5378th prime number.
What is the sum of the first 5378 primes?
133,591,289.