What is the 6009th prime number?
The 6009th prime number is 59441. The next prime is 59443 (a gap of 2) and the one before is 59419.
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 6009th one is 59441.
- 2
59441 is prime because no prime up to ā59441 ā 243.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6009th prime is close to 6009 Ć ln(6009) ā 52284, and here it is 59441.
- 4
59441 is a twin prime: 59441 and 59443 are both prime.
Primes around the 6009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6006 | 59407 | 8 |
| 6007 | 59417 | 10 |
| 6008 | 59419 | 2 |
| 6009 | 59441 | 22 |
| 6010 | 59443 | 2 |
| 6011 | 59447 | 4 |
| 6012 | 59453 | 6 |
Questions
What is the 6009th prime number?
59441.
Which prime number is 59441?
59441 is the 6009th prime number.
What is the sum of the first 6009 primes?
168,983,330.