What is the 5406th prime number?
The 5406th prime number is 52973. The next prime is 52981 (a gap of 8) and the one before is 52967.
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 5406th one is 52973.
- 2
52973 is prime because no prime up to ā52973 ā 230.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5406th prime is close to 5406 Ć ln(5406) ā 46466, and here it is 52973.
- 4
52973 has no twin: neither 52971 nor 52975 is prime.
Primes around the 5406th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5403 | 52957 | 6 |
| 5404 | 52963 | 6 |
| 5405 | 52967 | 4 |
| 5406 | 52973 | 6 |
| 5407 | 52981 | 8 |
| 5408 | 52999 | 18 |
| 5409 | 53003 | 4 |
Questions
What is the 5406th prime number?
52973.
Which prime number is 52973?
52973 is the 5406th prime number.
What is the sum of the first 5406 primes?
135,070,759.