What is the 6006th prime number?
The 6006th prime number is 59407. The next prime is 59417 (a gap of 10) and the one before is 59399.
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 6006th one is 59407.
- 2
59407 is prime because no prime up to ā59407 ā 243.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6006th prime is close to 6006 Ć ln(6006) ā 52255, and here it is 59407.
- 4
59407 has no twin: neither 59405 nor 59409 is prime.
Primes around the 6006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6003 | 59387 | 10 |
| 6004 | 59393 | 6 |
| 6005 | 59399 | 6 |
| 6006 | 59407 | 8 |
| 6007 | 59417 | 10 |
| 6008 | 59419 | 2 |
| 6009 | 59441 | 22 |
Questions
What is the 6006th prime number?
59407.
Which prime number is 59407?
59407 is the 6006th prime number.
What is the sum of the first 6006 primes?
168,805,053.