What is the 6007th prime number?
The 6007th prime number is 59417. The next prime is 59419 (a gap of 2) and the one before is 59407.
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 6007th one is 59417.
- 2
59417 is prime because no prime up to ā59417 ā 243.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6007th prime is close to 6007 Ć ln(6007) ā 52265, and here it is 59417.
- 4
59417 is a twin prime: 59417 and 59419 are both prime.
Primes around the 6007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6004 | 59393 | 6 |
| 6005 | 59399 | 6 |
| 6006 | 59407 | 8 |
| 6007 | 59417 | 10 |
| 6008 | 59419 | 2 |
| 6009 | 59441 | 22 |
| 6010 | 59443 | 2 |
Questions
What is the 6007th prime number?
59417.
Which prime number is 59417?
59417 is the 6007th prime number.
What is the sum of the first 6007 primes?
168,864,470.