What is the 4574th prime number?
The 4574th prime number is 43963. The next prime is 43969 (a gap of 6) and the one before is 43961.
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 4574th one is 43963.
- 2
43963 is prime because no prime up to ā43963 ā 209.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4574th prime is close to 4574 Ć ln(4574) ā 38550, and here it is 43963.
- 4
43963 is a twin prime: 43961 and 43963 are both prime.
Primes around the 4574th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4571 | 43943 | 10 |
| 4572 | 43951 | 8 |
| 4573 | 43961 | 10 |
| 4574 | 43963 | 2 |
| 4575 | 43969 | 6 |
| 4576 | 43973 | 4 |
| 4577 | 43987 | 14 |
Questions
What is the 4574th prime number?
43963.
Which prime number is 43963?
43963 is the 4574th prime number.
What is the sum of the first 4574 primes?
94,741,447.