What is the 5722nd prime number?
The 5722nd prime number is 56443. The next prime is 56453 (a gap of 10) and the one before is 56437.
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 5722nd one is 56443.
- 2
56443 is prime because no prime up to ā56443 ā 237.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5722nd prime is close to 5722 Ć ln(5722) ā 49507, and here it is 56443.
- 4
56443 has no twin: neither 56441 nor 56445 is prime.
Primes around the 5722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5719 | 56417 | 16 |
| 5720 | 56431 | 14 |
| 5721 | 56437 | 6 |
| 5722 | 56443 | 6 |
| 5723 | 56453 | 10 |
| 5724 | 56467 | 14 |
| 5725 | 56473 | 6 |
Questions
What is the 5722nd prime number?
56443.
Which prime number is 56443?
56443 is the 5722nd prime number.
What is the sum of the first 5722 primes?
152,360,113.