What is the 6011th prime number?
The 6011th prime number is 59447. The next prime is 59453 (a gap of 6) and the one before is 59443.
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 6011th one is 59447.
- 2
59447 is prime because no prime up to ā59447 ā 243.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6011th prime is close to 6011 Ć ln(6011) ā 52304, and here it is 59447.
- 4
59447 has no twin: neither 59445 nor 59449 is prime.
Primes around the 6011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6008 | 59419 | 2 |
| 6009 | 59441 | 22 |
| 6010 | 59443 | 2 |
| 6011 | 59447 | 4 |
| 6012 | 59453 | 6 |
| 6013 | 59467 | 14 |
| 6014 | 59471 | 4 |
Questions
What is the 6011th prime number?
59447.
Which prime number is 59447?
59447 is the 6011th prime number.
What is the sum of the first 6011 primes?
169,102,220.