What is the 4579th prime number?
The 4579th prime number is 43997. The next prime is 44017 (a gap of 20) and the one before is 43991.
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 4579th one is 43997.
- 2
43997 is prime because no prime up to ā43997 ā 209.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4579th prime is close to 4579 Ć ln(4579) ā 38597, and here it is 43997.
- 4
43997 has no twin: neither 43995 nor 43999 is prime.
Primes around the 4579th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4576 | 43973 | 4 |
| 4577 | 43987 | 14 |
| 4578 | 43991 | 4 |
| 4579 | 43997 | 6 |
| 4580 | 44017 | 20 |
| 4581 | 44021 | 4 |
| 4582 | 44027 | 6 |
Questions
What is the 4579th prime number?
43997.
Which prime number is 43997?
43997 is the 4579th prime number.
What is the sum of the first 4579 primes?
94,961,364.