What is the 4721st prime number?
The 4721st prime number is 45541. The next prime is 45553 (a gap of 12) and the one before is 45533.
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 4721st one is 45541.
- 2
45541 is prime because no prime up to ā45541 ā 213.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4721st prime is close to 4721 Ć ln(4721) ā 39939, and here it is 45541.
- 4
45541 has no twin: neither 45539 nor 45543 is prime.
Primes around the 4721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4718 | 45503 | 6 |
| 4719 | 45523 | 20 |
| 4720 | 45533 | 10 |
| 4721 | 45541 | 8 |
| 4722 | 45553 | 12 |
| 4723 | 45557 | 4 |
| 4724 | 45569 | 12 |
Questions
What is the 4721st prime number?
45541.
Which prime number is 45541?
45541 is the 4721st prime number.
What is the sum of the first 4721 primes?
101,316,346.