What is the 5400th prime number?
The 5400th prime number is 52919. The next prime is 52937 (a gap of 18) and the one before is 52903.
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 5400th one is 52919.
- 2
52919 is prime because no prime up to ā52919 ā 230.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5400th prime is close to 5400 Ć ln(5400) ā 46408, and here it is 52919.
- 4
52919 has no twin: neither 52917 nor 52921 is prime.
Primes around the 5400th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5397 | 52889 | 6 |
| 5398 | 52901 | 12 |
| 5399 | 52903 | 2 |
| 5400 | 52919 | 16 |
| 5401 | 52937 | 18 |
| 5402 | 52951 | 14 |
| 5403 | 52957 | 6 |
Questions
What is the 5400th prime number?
52919.
Which prime number is 52919?
52919 is the 5400th prime number.
What is the sum of the first 5400 primes?
134,753,011.