What is the 5405th prime number?
The 5405th prime number is 52967. The next prime is 52973 (a gap of 6) and the one before is 52963.
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 5405th one is 52967.
- 2
52967 is prime because no prime up to ā52967 ā 230.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5405th prime is close to 5405 Ć ln(5405) ā 46456, and here it is 52967.
- 4
52967 has no twin: neither 52965 nor 52969 is prime.
Primes around the 5405th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5402 | 52951 | 14 |
| 5403 | 52957 | 6 |
| 5404 | 52963 | 6 |
| 5405 | 52967 | 4 |
| 5406 | 52973 | 6 |
| 5407 | 52981 | 8 |
| 5408 | 52999 | 18 |
Questions
What is the 5405th prime number?
52967.
Which prime number is 52967?
52967 is the 5405th prime number.
What is the sum of the first 5405 primes?
135,017,786.