What is the 5721st prime number?
The 5721st prime number is 56437. The next prime is 56443 (a gap of 6) and the one before is 56431.
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 5721st one is 56437.
- 2
56437 is prime because no prime up to ā56437 ā 237.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5721st prime is close to 5721 Ć ln(5721) ā 49498, and here it is 56437.
- 4
56437 has no twin: neither 56435 nor 56439 is prime.
Primes around the 5721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5718 | 56401 | 8 |
| 5719 | 56417 | 16 |
| 5720 | 56431 | 14 |
| 5721 | 56437 | 6 |
| 5722 | 56443 | 6 |
| 5723 | 56453 | 10 |
| 5724 | 56467 | 14 |
Questions
What is the 5721st prime number?
56437.
Which prime number is 56437?
56437 is the 5721st prime number.
What is the sum of the first 5721 primes?
152,303,670.