What is the 5404th prime number?
The 5404th prime number is 52963. The next prime is 52967 (a gap of 4) and the one before is 52957.
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 5404th one is 52963.
- 2
52963 is prime because no prime up to ā52963 ā 230.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5404th prime is close to 5404 Ć ln(5404) ā 46447, and here it is 52963.
- 4
52963 has no twin: neither 52961 nor 52965 is prime.
Primes around the 5404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5401 | 52937 | 18 |
| 5402 | 52951 | 14 |
| 5403 | 52957 | 6 |
| 5404 | 52963 | 6 |
| 5405 | 52967 | 4 |
| 5406 | 52973 | 6 |
| 5407 | 52981 | 8 |
Questions
What is the 5404th prime number?
52963.
Which prime number is 52963?
52963 is the 5404th prime number.
What is the sum of the first 5404 primes?
134,964,819.