What is the 4573rd prime number?
The 4573rd prime number is 43961. The next prime is 43963 (a gap of 2) and the one before is 43951.
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 4573rd one is 43961.
- 2
43961 is prime because no prime up to ā43961 ā 209.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4573rd prime is close to 4573 Ć ln(4573) ā 38541, and here it is 43961.
- 4
43961 is a twin prime: 43961 and 43963 are both prime.
Primes around the 4573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4570 | 43933 | 20 |
| 4571 | 43943 | 10 |
| 4572 | 43951 | 8 |
| 4573 | 43961 | 10 |
| 4574 | 43963 | 2 |
| 4575 | 43969 | 6 |
| 4576 | 43973 | 4 |
Questions
What is the 4573rd prime number?
43961.
Which prime number is 43961?
43961 is the 4573rd prime number.
What is the sum of the first 4573 primes?
94,697,484.