What is the 4722nd prime number?
The 4722nd prime number is 45553. The next prime is 45557 (a gap of 4) and the one before is 45541.
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 4722nd one is 45553.
- 2
45553 is prime because no prime up to ā45553 ā 213.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4722nd prime is close to 4722 Ć ln(4722) ā 39948, and here it is 45553.
- 4
45553 has no twin: neither 45551 nor 45555 is prime.
Primes around the 4722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4719 | 45523 | 20 |
| 4720 | 45533 | 10 |
| 4721 | 45541 | 8 |
| 4722 | 45553 | 12 |
| 4723 | 45557 | 4 |
| 4724 | 45569 | 12 |
| 4725 | 45587 | 18 |
Questions
What is the 4722nd prime number?
45553.
Which prime number is 45553?
45553 is the 4722nd prime number.
What is the sum of the first 4722 primes?
101,361,899.