What is the 5725th prime number?
The 5725th prime number is 56473. The next prime is 56477 (a gap of 4) and the one before is 56467.
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 5725th one is 56473.
- 2
56473 is prime because no prime up to ā56473 ā 237.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5725th prime is close to 5725 Ć ln(5725) ā 49536, and here it is 56473.
- 4
56473 has no twin: neither 56471 nor 56475 is prime.
Primes around the 5725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5722 | 56443 | 6 |
| 5723 | 56453 | 10 |
| 5724 | 56467 | 14 |
| 5725 | 56473 | 6 |
| 5726 | 56477 | 4 |
| 5727 | 56479 | 2 |
| 5728 | 56489 | 10 |
Questions
What is the 5725th prime number?
56473.
Which prime number is 56473?
56473 is the 5725th prime number.
What is the sum of the first 5725 primes?
152,529,506.