What is the 6008th prime number?
The 6008th prime number is 59419. The next prime is 59441 (a gap of 22) and the one before is 59417.
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 6008th one is 59419.
- 2
59419 is prime because no prime up to ā59419 ā 243.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6008th prime is close to 6008 Ć ln(6008) ā 52275, and here it is 59419.
- 4
59419 is a twin prime: 59417 and 59419 are both prime.
Primes around the 6008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6005 | 59399 | 6 |
| 6006 | 59407 | 8 |
| 6007 | 59417 | 10 |
| 6008 | 59419 | 2 |
| 6009 | 59441 | 22 |
| 6010 | 59443 | 2 |
| 6011 | 59447 | 4 |
Questions
What is the 6008th prime number?
59419.
Which prime number is 59419?
59419 is the 6008th prime number.
What is the sum of the first 6008 primes?
168,923,889.