What is the 5377th prime number?
The 5377th prime number is 52673. The next prime is 52691 (a gap of 18) and the one before is 52667.
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 5377th one is 52673.
- 2
52673 is prime because no prime up to ā52673 ā 229.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5377th prime is close to 5377 Ć ln(5377) ā 46188, and here it is 52673.
- 4
52673 has no twin: neither 52671 nor 52675 is prime.
Primes around the 5377th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5374 | 52631 | 4 |
| 5375 | 52639 | 8 |
| 5376 | 52667 | 28 |
| 5377 | 52673 | 6 |
| 5378 | 52691 | 18 |
| 5379 | 52697 | 6 |
| 5380 | 52709 | 12 |
Questions
What is the 5377th prime number?
52673.
Which prime number is 52673?
52673 is the 5377th prime number.
What is the sum of the first 5377 primes?
133,538,598.