What is the 6010th prime number?
The 6010th prime number is 59443. The next prime is 59447 (a gap of 4) and the one before is 59441.
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 6010th one is 59443.
- 2
59443 is prime because no prime up to ā59443 ā 243.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6010th prime is close to 6010 Ć ln(6010) ā 52294, and here it is 59443.
- 4
59443 is a twin prime: 59441 and 59443 are both prime.
Primes around the 6010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6007 | 59417 | 10 |
| 6008 | 59419 | 2 |
| 6009 | 59441 | 22 |
| 6010 | 59443 | 2 |
| 6011 | 59447 | 4 |
| 6012 | 59453 | 6 |
| 6013 | 59467 | 14 |
Questions
What is the 6010th prime number?
59443.
Which prime number is 59443?
59443 is the 6010th prime number.
What is the sum of the first 6010 primes?
169,042,773.