What is the 5407th prime number?
The 5407th prime number is 52981. The next prime is 52999 (a gap of 18) and the one before is 52973.
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 5407th one is 52981.
- 2
52981 is prime because no prime up to ā52981 ā 230.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5407th prime is close to 5407 Ć ln(5407) ā 46476, and here it is 52981.
- 4
52981 has no twin: neither 52979 nor 52983 is prime.
Primes around the 5407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5404 | 52963 | 6 |
| 5405 | 52967 | 4 |
| 5406 | 52973 | 6 |
| 5407 | 52981 | 8 |
| 5408 | 52999 | 18 |
| 5409 | 53003 | 4 |
| 5410 | 53017 | 14 |
Questions
What is the 5407th prime number?
52981.
Which prime number is 52981?
52981 is the 5407th prime number.
What is the sum of the first 5407 primes?
135,123,740.